Overconvergence in Complex Approximation

Overconvergence in Complex Approximation

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Hardcover, Springer Verlag, 2013, ISBN13 9781461470977, ISBN10 1461470978
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Hardcover, Springer Verlag, 2013, ISBN13 9781461470977, ISBN10 1461470978

About this item

Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin information may not be accurate or consistent with manufacturer information. For updated, accurate country of origin data, it is recommended that you rely on product packaging or manufacturer information.

Hardcover, Springer Verlag, 2013, ISBN13 9781461470977, ISBN10 1461470978

This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation1/qnis obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text.

This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis.

Specifications

Number of Pages: 194
Original Languages: English
Author: Gal, Sorin G.
Book Format: Audio CD ,  Hardcover
Publisher: Springer Verlag
Publication Date: May, 2013
ISBN-13: 9781461470977
Assembled Product Dimensions (L x W x H): 6.25 x 9.25 x 0.75 Inches
ISBN-10: 1461470978
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