Description 
xiv, 194 pages ; 25 cm 
Content Type 
text 
Format 
volume 
Bibliography 
Includes bibliographical references (pages 185191) and index. 
Contents 
1. Overconvergence in C of some Bernsteintype operators  2. Overconvergence and convergence in C of some integral convolutions  3. Overconvergence in C of the orthogonal expansions. 
Summary 
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 SchurerFaber operator, Beta operators of first kind, BernsteinDurrmeyertype operators and Lorentz operator are presented. The main focus is on results for several qBernstein kind of operators with q [greater than] 1, when the geometric order of approximation 1/q [superscript n] is 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 vectorvalued 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  P. 4 of cover. 
Subject 
Approximation theory.

ISBN 
9781461470977 

1461470978 

9781461470984 (ebook) 
OCLC number 
828487976 
