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Author : George A. Anastassiou
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (122 download)
Download or read book A Study of Positive Linear Operators by the Method of Moments written by George A. Anastassiou and published by . This book was released on 1984 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 1461524946
Total Pages : 441 pages
Book Rating : 4.4/5 (615 download)
Download or read book Approximation, Probability, and Related Fields written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a conference held in Santa Barbara, California, May 20-22, 1993
Author : George Anastassiou
Publisher : CRC Press
ISBN 13 : 9781584882213
Total Pages : 626 pages
Book Rating : 4.8/5 (822 download)
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 626 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 developments in the area of contemporary quantitative mathematics. It offers readers the unique opportunity of approaching the field under the guidance of an expert. Among the book's outstanding features is the inclusion of the introductory chapter that summarizes the primary and most useful results. This section serves not only as a more detailed table of contents for those new to an area of application, but also as a quick reference for more seasoned researchers. The author describes all of the pertinent mathematical entities precisely and concretely. His approach and proofs are straightforward and constructive, making Quantitative Approximations accessible and valuable to researchers and graduate students alike.
Author : George A. Anastassiou
Publisher : Springer Nature
ISBN 13 : 3030569624
Total Pages : 501 pages
Book Rating : 4.0/5 (35 download)
Download or read book Generalized Fractional Calculus written by George A. Anastassiou and published by Springer Nature. This book was released on 2020-11-25 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional differential equations. The book continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities and also includes abstract cases. It presents also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The results are weighted so they provide a great variety of cases and applications. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus. The book considers both Caputo and Conformable fractional directions and derives regular and trigonometric results. The positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this monograph is suitable for researchers, graduate students, and seminars of the above disciplines, also to be in all science and engineering libraries.
Author : C. K. Chui
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)
Download or read book Approximation Theory V written by C. K. Chui and published by . This book was released on 1986 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Anastassiou
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)
Download or read book Moments in Probability and Approximation Theory written by George Anastassiou and published by Chapman and Hall/CRC. This book was released on 1993-04-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique volume covering the author's research over the last decade in this exciting area.
Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3030194558
Total Pages : 96 pages
Book Rating : 4.0/5 (31 download)
Download or read book Moments of Linear Positive Operators and Approximation written by Vijay Gupta and published by Springer. This book was released on 2019-05-25 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 1461220580
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)
Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results
Author :
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)
Download or read book RCM written by and published by . This book was released on 1990 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alston Scott Householder
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry J. Landau
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801147
Total Pages : 170 pages
Book Rating : 4.8/5 (11 download)
Download or read book Moments in Mathematics written by Henry J. Landau and published by American Mathematical Soc.. This book was released on 1987 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory, spectral decomposition of operators, probability, approximation, electrical and mechanical inverse problems, prediction of stochastic processes, the design of algorithms for signal-processing VLSI chips--these are among a host of important theoretical and applied topics illuminated by the classical moment problem. To survey some of these ramifications and the research which derives from them, the AMS sponsored the Short Course Moments in Mathematics at the Joint Mathematics Meetings, held in San Antonio, Texas, in January 1987. This volume contains the six lectures presented during that course. The papers are likely to find a wide audience, for they are expository, but nevertheless lead the reader to topics of current research. In his paper, Henry J. Landau sketches the main ideas of past work related to the moment problem by such mathematicians as Caratheodory, Herglotz, Schur, Riesz, and Krein and describes the way the moment problem has interconnected so many diverse areas of research. J. H. B. Kemperman examines the moment problem from a geometric viewpoint which involves a certain natural duality method and leads to interesting applications in linear programming, measure theory, and dilations. Donald Sarason first provides a brief review of the theory of unbounded self-adjoint operators then goes on to sketch the operator-theoretic treatment of the Hamburger problem and to discuss Hankel operators, the Adamjan-Arov-Krein approach, and the theory of unitary dilations. Exploring the interplay of trigonometric moment problems and signal processing, Thomas Kailath describes the role of Szego polynomials in linear predictive coding methods, parallel implementation, one-dimensional inverse scattering problems, and the Toeplitz moment matrices. Christian Berg contrasts the multi-dimensional moment problem with the one-dimensional theory and shows how the theory of the moment problem may be viewed as part of harmonic analysis on semigroups. Starting from a historical survey of the use of moments in probability and statistics, Persi Diaconis illustrates the continuing vitality of these methods in a variety of recent novel problems drawn from such areas as Wiener-Ito integrals, random graphs and matrices, Gibbs ensembles, cumulants and self-similar processes, projections of high-dimensional data, and empirical estimation.
Author :
Publisher :
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.3/5 (91 download)
Download or read book Revue D'analyse Numérique Et de Théorie de L'approximation written by and published by . This book was released on 1992 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Farzaneh Jannat
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)
Download or read book On Positive Linear Operators written by Farzaneh Jannat and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation theory received much attention in the last century, and an intriguing area in this field is positive linear operators. This thesis is a literature survey on positive linear operators. We discuss some of the well-known examples of positive linear operators. Preserving $k$-monotonicity by positive linear operators is another interesting topic in this area. We are interested if $L_n(f;x)$ is $k$-monotone whenever function $f$ is $k$-monotone. For a sequence of positive linear operators $\{L_n(f;x)\}$, it is a natural question if this sequence converges to $f(x)$ and how fast is this convergence. We study the saturation of these operators. Usually, there is a relation between the rate of convergence and the smoothness of the function being approximated. If increasing smoothness of functions does not result in the increase of the degree of approximation, this phenomenon is called saturation. We discuss iteration of general positive linear operators and give numerical examples.
Author : Yeol Je Cho
Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.X/5 (4 download)
Download or read book Inequality Theory and Applications written by Yeol Je Cho and published by Nova Biomedical Books. This book was released on 2001 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequality Theory & Applications
Author :
Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2000 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald A. De Vore
Publisher :
ISBN 13 : 9783662179765
Total Pages : 304 pages
Book Rating : 4.1/5 (797 download)
Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. De Vore and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.E/5 ( download)
Download or read book Journal of Orissa Mathematical Society written by and published by . This book was released on 1988 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
