Approximation by Max-Product Type Operators, Bede Barnabбs, Coroianu Lucian, Gal Sorin G.
Автор: Bede Название: Approximation by Max-Product Type Operators ISBN: 331934188X ISBN-13(EAN): 9783319341880 Издательство: Springer Рейтинг: Цена: 102480.00 T 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.
Автор: Paul Leo Butzer; Hubert Berens Название: Semi-Groups of Operators and Approximation ISBN: 3642460682 ISBN-13(EAN): 9783642460685 Издательство: Springer Рейтинг: Цена: 79190.00 T 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.
Автор: Vijay Gupta; Michael Th. Rassias Название: Moments of Linear Positive Operators and Approximation ISBN: 303019454X ISBN-13(EAN): 9783030194543 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Невозможна поставка. Описание: 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.
Автор: Dmitrii S. Silvestrov Название: American-Type Options: Stochastic Approximation Methods, Volume 2 ISBN: 3110329689 ISBN-13(EAN): 9783110329681 Издательство: Walter de Gruyter Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book gives a systematical presentation of stochastic approximation methods for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The volume presents results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.
Автор: Lloyd N. Trefethen Название: Approximation Theory and Approximation Practice: Extended Edition ISBN: 161197593X ISBN-13(EAN): 9781611975932 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60990.00 T Наличие на складе: Нет в наличии. Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.
Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.
The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.
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: 173490.00 T 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.
Автор: Vijay Gupta; Gancho Tachev Название: Approximation with Positive Linear Operators and Linear Combinations ISBN: 3319587943 ISBN-13(EAN): 9783319587943 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Manuel Cepedello Boiso; H?kan Hedenmalm; Marinus A Название: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation ISBN: 3034806477 ISBN-13(EAN): 9783034806473 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Frank R. Deutsch Название: Best Approximation in Inner Product Spaces ISBN: 1441928901 ISBN-13(EAN): 9781441928900 Издательство: Springer Рейтинг: Цена: 69830.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn State Uni- versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, computer scientists, and statis- ticians, as well as mathematicians) did not have the necessary prerequisites such as a working knowledge of Lp-spaces and some basic functional analysis. (Today such material is typically contained in the first-year graduate course in analysis. ) To accommodate these students, I usually ended up spending nearly half the course on these prerequisites, and the last half was devoted to the "best approximation" part. I did this a few times and determined that it was not satisfactory: Too much time was being spent on the presumed prerequisites. To be able to devote most of the course to "best approximation," I decided to concentrate on the simplest of the normed linear spaces-the inner product spaces-since the theory in inner product spaces can be taught from first principles in much less time, and also since one can give a convincing argument that inner product spaces are the most important of all the normed linear spaces anyway. The success of this approach turned out to be even better than I had originally anticipated: One can develop a fairly complete theory of best approximation in inner product spaces from first principles, and such was my purpose in writing this book.
Автор: Gradimir V. Milovanovi?; Michael Th. Rassias Название: Analytic Number Theory, Approximation Theory, and Special Functions ISBN: 1493902571 ISBN-13(EAN): 9781493902576 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Analytic Number Theory, Approximation Theory, and Special Functions
Автор: Gupta Vijay, Tachev Gancho Название: Approximation with Positive Linear Operators and Linear Combinations ISBN: 3319864769 ISBN-13(EAN): 9783319864761 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.
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