عنوان

Multivariate approximation /

شابک

110868968X

شابک

9781108689687

شابک اشتباه

1108428754

شابک اشتباه

9781108428750

عنوان اصلي

Multivariate approximation /

نام عام مواد

[Book]

نام نخستين پديدآور

V. Temlyakov, University of South Carolina, Steklov Institute of Mathematics, Moscow and Lomonosov Moscow State University.

محل نشرو پخش و غیره

Cambridge :

نام ناشر، پخش کننده و غيره

Cambridge U.P.,

تاریخ نشرو بخش و غیره

2018

تاریخ نشرو بخش و غیره

©2018

نام خاص و کميت اثر

1 online resource (xvi, 534 pages) :

ساير جزييات

illustrations

عنوان فروست

Cambridge monographs on applied and computational mathematics

متن يادداشت

Includes bibliographical references (pages 520-531) and index.

متن يادداشت

Approximation of univariate functions -- Optimality and other properties of the trigonometric system -- Approximation of functions from anisotropic Sobolev and Nikol'skii classes -- Hyperbolic cross approximation -- The widths of classes of functions with mixed smoothness -- Numerical integration and approximate recovery -- Entropy -- Greedy approximation -- Sparse approximation.

بدون عنوان

0

متن يادداشت

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.

عنوان

Multivariate approximation.

شماره استاندارد بين المللي کتاب و موسيقي

9781108428750

موضوع مستند نشده

Computational sciences.

موضوع مستند نشده

Approximation theory.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Approximation theory.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematics.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Temlyakov, Vladimir,1953-

تاريخ عمليات

20200822150937.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y