Norm Inequalities For Derivatives And Differences

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Norm Inequalities for Derivatives and Differences

Author : Man K. Kwong
Publisher : Springer
ISBN 13 : 3540475486
Total Pages : 157 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Norm Inequalities for Derivatives and Differences by : Man K. Kwong

Download or read book Norm Inequalities for Derivatives and Differences written by Man K. Kwong and published by Springer. This book was released on 2006-11-15 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.

Norm Inequalities for Derivatives and Differences

Author : Man K. Kwong
Publisher :
ISBN 13 : 9783662171004
Total Pages : 160 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Norm Inequalities for Derivatives and Differences by : Man K. Kwong

Download or read book Norm Inequalities for Derivatives and Differences written by Man K. Kwong and published by . This book was released on 2014-01-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Norm Inequalities for Derivatives and Differences

Author : Anthony B. Evans
Publisher :
ISBN 13 : 9780387563879
Total Pages : 150 pages
Book Rating : 4.5/5 (638 download)

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Book Synopsis Norm Inequalities for Derivatives and Differences by : Anthony B. Evans

Download or read book Norm Inequalities for Derivatives and Differences written by Anthony B. Evans and published by . This book was released on 1964 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multidimensional Weakly Singular Integral Equations

Author : Gennadi Vainikko
Publisher : Springer
ISBN 13 : 9783540568780
Total Pages : 180 pages
Book Rating : 4.5/5 (687 download)

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Book Synopsis Multidimensional Weakly Singular Integral Equations by : Gennadi Vainikko

Download or read book Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and published by Springer. This book was released on 1993-07-29 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.

Multivariate Approximation and Splines

Author : Günther Nürnberger
Publisher : Birkhäuser
ISBN 13 : 3034888716
Total Pages : 329 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multivariate Approximation and Splines by : Günther Nürnberger

Download or read book Multivariate Approximation and Splines written by Günther Nürnberger and published by Birkhäuser. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.

Gian-Carlo Rota on Analysis and Probability

Author : Jean Dhombres
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642754
Total Pages : 424 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Gian-Carlo Rota on Analysis and Probability by : Jean Dhombres

Download or read book Gian-Carlo Rota on Analysis and Probability written by Jean Dhombres and published by Springer Science & Business Media. This book was released on 2002-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].

General Inequalities 5

Author : WALTER
Publisher : Birkhäuser
ISBN 13 : 3034871929
Total Pages : 478 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis General Inequalities 5 by : WALTER

Download or read book General Inequalities 5 written by WALTER and published by Birkhäuser. This book was released on 2013-03-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifth International Conference on General Inequalities was held from May 4 to May 10, 1986, at the Mathematisches Forschungsinstitut Oberwolfach (Black Forest, Germany). The organizing committee consisted of W.N. Everitt (Birmingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec served efficiently an'd enthusiastically as secretary to the con ference. The meeting was attended by 50 participants from 16 countries. In his opening address, W. Walter had to report on the death of five colleagues who had been active in the area of inequali ties and who had served the mathematical community: P.R. Beesack, G. Polya, D.K. Ross, R. Bellman, G. Szegö. He made special mention of G. Polya, who had been the last surviving author of the book InequaZities (Cambridge University Press, 1934), who died at the age of 97 years and whose many and manifold contributions to mathematics will be recorded elsewhere, in due course. Inequalities continue to play an important and significant role in nearly all areas of mathematics. The interests of the participants to this conference reflected the many different fields in which both classical and modern inequalities continue to influence developments in mathematics. In addition to the established fields, the lectures clearly indicated the importance of inequalities in functional analysis, eigenvalue theory, con vexi ty., number theory, approximation theory, probability theory, mathematical prograrnrning and economics.

Weighted Norm Inequalities and Related Topics

Author : J. García-Cuerva
Publisher : Elsevier
ISBN 13 : 0080872271
Total Pages : 615 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Weighted Norm Inequalities and Related Topics by : J. García-Cuerva

Download or read book Weighted Norm Inequalities and Related Topics written by J. García-Cuerva and published by Elsevier. This book was released on 2011-08-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.

Inequalities

Author : Everitt
Publisher : CRC Press
ISBN 13 : 9780824784881
Total Pages : 306 pages
Book Rating : 4.7/5 (848 download)

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Book Synopsis Inequalities by : Everitt

Download or read book Inequalities written by Everitt and published by CRC Press. This book was released on 1990-11-30 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an international conference organized by the London Mathematical Society, held July 1987 at the U. of Birmingham, and dominated by the ghosts of Hardy, Littlewood and Polya, whose Inequalities (still the primary reference in the field) appeared in 1934. Thirteen essays summarize subse

Evolution Equations

Author : Gisele Ruiz Goldstein
Publisher : CRC Press
ISBN 13 : 1482275953
Total Pages : 440 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Evolution Equations by : Gisele Ruiz Goldstein

Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2019-04-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1572 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inequalities Involving Functions and Their Integrals and Derivatives

Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 9401135622
Total Pages : 602 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Inequalities Involving Functions and Their Integrals and Derivatives by : Dragoslav S. Mitrinovic

Download or read book Inequalities Involving Functions and Their Integrals and Derivatives written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the ~l moil ..., Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'(ftre of this series.

Number Theory in Memory of Eduard Wirsing

Author : Helmut Maier
Publisher : Springer Nature
ISBN 13 : 3031316177
Total Pages : 332 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Number Theory in Memory of Eduard Wirsing by : Helmut Maier

Download or read book Number Theory in Memory of Eduard Wirsing written by Helmut Maier and published by Springer Nature. This book was released on 2023-08-28 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with the Fields Medalist Alan Baker as well as Don Zagier). This commemorative volume includes numerous papers on current research in number theory by well-known experts, as well as some personal recollections by companions of Wirsing. The topics covered in this volume include arithmetical functions, continued fractions, elementary proofs of the prime number theorem, friable integers, the Goldbach problem, Dirichlet series, Euler products, and more. There is something for every interested reader.

Hardy-Littlewood and Ulyanov Inequalities

Author : Yurii Kolomoitsev
Publisher : American Mathematical Society
ISBN 13 : 1470447584
Total Pages : 118 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hardy-Littlewood and Ulyanov Inequalities by : Yurii Kolomoitsev

Download or read book Hardy-Littlewood and Ulyanov Inequalities written by Yurii Kolomoitsev and published by American Mathematical Society. This book was released on 2021-09-24 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Robot Learning Human Skills and Intelligent Control Design

Author : Chenguang Yang
Publisher : CRC Press
ISBN 13 : 1000395170
Total Pages : 184 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Robot Learning Human Skills and Intelligent Control Design by : Chenguang Yang

Download or read book Robot Learning Human Skills and Intelligent Control Design written by Chenguang Yang and published by CRC Press. This book was released on 2021-06-21 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decades robots are expected to be of increasing intelligence to deal with a large range of tasks. Especially, robots are supposed to be able to learn manipulation skills from humans. To this end, a number of learning algorithms and techniques have been developed and successfully implemented for various robotic tasks. Among these methods, learning from demonstrations (LfD) enables robots to effectively and efficiently acquire skills by learning from human demonstrators, such that a robot can be quickly programmed to perform a new task. This book introduces recent results on the development of advanced LfD-based learning and control approaches to improve the robot dexterous manipulation. First, there's an introduction to the simulation tools and robot platforms used in the authors' research. In order to enable a robot learning of human-like adaptive skills, the book explains how to transfer a human user’s arm variable stiffness to the robot, based on the online estimation from the muscle electromyography (EMG). Next, the motion and impedance profiles can be both modelled by dynamical movement primitives such that both of them can be planned and generalized for new tasks. Furthermore, the book introduces how to learn the correlation between signals collected from demonstration, i.e., motion trajectory, stiffness profile estimated from EMG and interaction force, using statistical models such as hidden semi-Markov model and Gaussian Mixture Regression. Several widely used human-robot interaction interfaces (such as motion capture-based teleoperation) are presented, which allow a human user to interact with a robot and transfer movements to it in both simulation and real-word environments. Finally, improved performance of robot manipulation resulted from neural network enhanced control strategies is presented. A large number of examples of simulation and experiments of daily life tasks are included in this book to facilitate better understanding of the readers.

Quantitative Approximations

Author : George Anastassiou
Publisher : CRC Press
ISBN 13 : 1482285797
Total Pages : 624 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Quantitative Approximations by : George Anastassiou

Download or read book Quantitative Approximations written by George Anastassiou and published by CRC Press. This book was released on 2000-09-15 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developm

Difference Spaces and Invariant Linear Forms

Author : Rodney Nillsen
Publisher : Springer
ISBN 13 : 3540486526
Total Pages : 198 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Difference Spaces and Invariant Linear Forms by : Rodney Nillsen

Download or read book Difference Spaces and Invariant Linear Forms written by Rodney Nillsen and published by Springer. This book was released on 2006-11-15 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.