| 书目名称 | Interpolation Processes | | 副标题 | Basic Theory and App | | 编辑 | Giuseppe Mastroianni,Gradimir V. Milovanović | | 视频video | | | 概述 | There are many books on approximation theory, including interpolation methods that appeared in the last fifty years, but a few of them are devoted only to interpolation processes as is this book.Inclu | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in thiseld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summatio | | 出版日期 | Book 2008 | | 关键词 | Gaussian quadratures; Integral equation; Interpolation; Sobolev space; integral equations; orthogonal pol | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-68349-0 | | isbn_softcover | 978-3-642-08794-3 | | isbn_ebook | 978-3-540-68349-0Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 19:23:58
