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Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (319 download)
Download or read book Convex Functions and Orlicz Spaces written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1960 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (6 download)
Download or read book Convex Functions and Orlicz Spaces written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1962 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Kosmol
Publisher : Walter de Gruyter
ISBN 13 : 3110250209
Total Pages : 405 pages
Book Rating : 4.1/5 (12 download)
Download or read book Optimization in Function Spaces with Stability Considerations in Orlicz Spaces written by Peter Kosmol and published by Walter de Gruyter. This book was released on 2011 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. A particular emphasis is placed on the geometrical aspects of strong solvability of a convex optimization problem: it turns out that this property is equivalent to local uniform convexity of the corresponding convex function. This treatise also provides a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level. From the contents: Approximation and Polya Algorithms in Orlicz Spaces Convex Sets and Convex Functions Numerical Treatment of Non-linear Equations and Optimization Problems Stability and Two-stage Optimization Problems Orlicz Spaces, Orlicz Norm and Duality Differentiability and Convexity in Orlicz Spaces Variational Calculus
Author : J. Musielak
Publisher : Springer
ISBN 13 : 3540386920
Total Pages : 227 pages
Book Rating : 4.5/5 (43 download)
Download or read book Orlicz Spaces and Modular Spaces written by J. Musielak and published by Springer. This book was released on 2006-11-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Petteri Harjulehto
Publisher : Springer
ISBN 13 : 303015100X
Total Pages : 169 pages
Book Rating : 4.0/5 (31 download)
Download or read book Orlicz Spaces and Generalized Orlicz Spaces written by Petteri Harjulehto and published by Springer. This book was released on 2019-05-07 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
Author : G. G. Lorentz
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book Relations Between Function Spaces written by G. G. Lorentz and published by . This book was released on 1959 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 9780824784782
Total Pages : 472 pages
Book Rating : 4.7/5 (847 download)
Download or read book Theory of Orlicz SPates written by M.M. Rao and published by CRC Press. This book was released on 1991-03-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference/text for mathematicians or students involved in analysis, differential equations, probability theory, and the study of integral operators where only Lebesgue spaces were used in the past. Updates and extends the pioneering work by Krasnosel'skii and Rutickii in their 1958 treatise on Orl
Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 9780203910863
Total Pages : 496 pages
Book Rating : 4.9/5 (18 download)
Download or read book Applications Of Orlicz Spaces written by M.M. Rao and published by CRC Press. This book was released on 2002-02-08 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.
Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 415 pages
Book Rating : 4.3/5 (197 download)
Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Author : Henryk Hudzik
Publisher : CRC Press
ISBN 13 : 9780824704193
Total Pages : 538 pages
Book Rating : 4.7/5 (41 download)
Download or read book Function Spaces written by Henryk Hudzik and published by CRC Press. This book was released on 2000-07-18 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
Author : Osvaldo Mendez
Publisher : CRC Press
ISBN 13 : 0429537573
Total Pages : 175 pages
Book Rating : 4.4/5 (295 download)
Download or read book Analysis on Function Spaces of Musielak-Orlicz Type written by Osvaldo Mendez and published by CRC Press. This book was released on 2019-01-21 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic Musielak-Orlicz spaces came under renewed interest when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces on to center stage. Since then, research efforts have typically been oriented towards carrying over the results of classical analysis into the framework of variable exponent function spaces. In recent years it has been suggested that many of the fundamental results in the realm of variable exponent Lebesgue spaces depend only on the intrinsic structure of the Musielak-Orlicz function, thus opening the door for a unified theory which encompasses that of Lebesgue function spaces with variable exponent. Features Gives a self-contained, concise account of the basic theory, in such a way that even early-stage graduate students will find it useful Contains numerous applications Facilitates the unified treatment of seemingly different theoretical and applied problems Includes a number of open problems in the area
Author : Ben-Zion A. Rubshtein
Publisher : Springer
ISBN 13 : 331942758X
Total Pages : 262 pages
Book Rating : 4.3/5 (194 download)
Download or read book Foundations of Symmetric Spaces of Measurable Functions written by Ben-Zion A. Rubshtein and published by Springer. This book was released on 2016-12-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful. This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called “Complements” is included at the end of the text as supplementary material to assist students with independent work.
Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 0203910869
Total Pages : 486 pages
Book Rating : 4.2/5 (39 download)
Download or read book Applications Of Orlicz Spaces written by M.M. Rao and published by CRC Press. This book was released on 2002-02-08 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.
Author : Robert R. Phelps
Publisher : Springer
ISBN 13 : 3662215691
Total Pages : 125 pages
Book Rating : 4.6/5 (622 download)
Download or read book Convex Functions, Monotone Operators and Differentiability written by Robert R. Phelps and published by Springer. This book was released on 2013-12-11 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property. While much of this is classical, some of it is presented using streamlined proofs which were not available until recently. Considerable attention is paid to contemporary results on variational principles and perturbed optimization in Banach spaces, exhibiting their close connections with Asplund spaces. An introductory course in functional analysis is adequate background for reading these notes which can serve as the basis for a seminar of a one-term graduate course. There are numerous excercises, many of which form an integral part of the exposition.
Author : C Zalinescu
Publisher : World Scientific
ISBN 13 : 9814488151
Total Pages : 388 pages
Book Rating : 4.8/5 (144 download)
Download or read book Convex Analysis in General Vector Spaces written by C Zalinescu and published by World Scientific. This book was released on 2002-07-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions. Contents:Preliminary Results on Functional AnalysisConvex Analysis in Locally Convex SpacesSome Results and Applications of Convex Analysis in Normed Spaces Readership: Researchers in analysis (convex and functional analysis), optimization theory and mathematical economy. Keywords:
Author : Vakhtang Kokilashvili
Publisher : World Scientific
ISBN 13 : 9814506281
Total Pages : 248 pages
Book Rating : 4.8/5 (145 download)
Download or read book Weighted Inequalities in Lorentz and Orlicz Spaces written by Vakhtang Kokilashvili and published by World Scientific. This book was released on 1991-12-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian. Contents:Integral Operators in Nonweighted Orlicz ClassesMaximal Functions and Potentials in Weighted Orlicz ClassesSingular Integrals in Weighted Orlicz ClassesIntegral Operators in Weighted Zygmund ClassesFractional Maximal Function in Weighted Lorentz SpacesPotentials and Riesz Transforms in Weighted Lorentz Spaces Readership: Mathematicians, graduate students and researchers in real and complex analysis. keywords:Orlicz Space;Lorentz Space;Zygmund Space;Weighted Space;Ap Weight;Maximal Operator;Riesz Potential;Hilbert Transform;Singular Integral;Weighted Inequalities “The authors, together with various collaborators, have made important contributions to the field over the last decade … The exposition is clear with detailed proofs of all statements and the monograph will certainly be a good supplement to survey articles and books on the weighted inequalities.” Mathematical Reviews
Author : Vakhtang Mikha?lovich Kokilashvili
Publisher : World Scientific
ISBN 13 : 9789810206123
Total Pages : 250 pages
Book Rating : 4.2/5 (61 download)
Download or read book Weighted Inequalities in Lorentz and Orlicz Spaces written by Vakhtang Mikha?lovich Kokilashvili and published by World Scientific. This book was released on 1991 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian.
