Описание: This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation.
Автор: Francesco Altomare, Mirella Cappelletti, Vita Leon Название: Markov Operators, Positive Semigroups and Approximation Processes ISBN: 3110372746 ISBN-13(EAN): 9783110372748 Издательство: Walter de Gruyter Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course.
Описание: This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.
Автор: Bede Barnabбs, Coroianu Lucian, Gal Sorin G. Название: Approximation by Max-Product Type Operators ISBN: 3319816977 ISBN-13(EAN): 9783319816975 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- 1. Introduction and Preliminaries.- 2. Approximation by Max-Product Bernstein Operators.- 3. Approximation by Max-Product Favard-Szбsz-Mirakjan Operators.- 4. Approximation by Max-Product Baskakov Operators.- 5. Approximation by Max-Product Bleimann-Butzer-Hahn Operators.- 6. Approximation by Max-Product Meyer-Kцnig and Zeller Operators.- 7. Approximation by Max-Product Interpolation Operators.- 8. Approximations by Max-Product Sampling Operators.- 9. Global Smoothness Preservation Properties.- 10. Possibilistic Approaches of the Max-Product Type Operators.- 11. Max-Product Weierstrass Type Functions.- References.- Index.
Автор: Bede Название: Approximation by Max-Product Type Operators ISBN: 331934188X ISBN-13(EAN): 9783319341880 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called 'max-product' type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a number of interesting problems such as quantitative estimates, convergence, saturation results, localization, to name several.Additionally, the book discusses the perfect analogies between the probabilistic approaches of the classical Bernstein type operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic approaches of the max-product variants of these operators. These approaches allow for two natural interpretations of the max-product Bernstein type operators and convolution type operators: firstly, as possibilistic expectations of some fuzzy variables, and secondly, as bases for the Feller type scheme in terms of the possibilistic integral. These approaches also offer new proofs for the uniform convergence based on a Chebyshev type inequality in the theory of possibility.Researchers in the fields of approximation of functions, signal theory, approximation of fuzzy numbers, image processing, and numerical analysis will find this book most beneficial. This book is also a good reference for graduates and postgraduates taking courses in approximation theory.
Описание: The publication of Oberwolfach conference books was initiated by Birkhauser Publishers in 1964 with the proceedings of the conference `On Approximation Theory`, conducted by P.
Описание: This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011.
Автор: Norbert Ortner; Peter Wagner Название: Fundamental Solutions of Linear Partial Differential Operators ISBN: 3319367994 ISBN-13(EAN): 9783319367996 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations.
Автор: Paul Leo Butzer; Hubert Berens Название: Semi-Groups of Operators and Approximation ISBN: 3642460682 ISBN-13(EAN): 9783642460685 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The applications of the theory not only permit integration of a series of diverse questions from many domains of mathematical analysis but also lead to significant new results on classical approximation theory, on the initial and boundary behavior of solutions of partial differential equations, and on the theory of singular integrals.
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