Title
Overconvergence in Complex Approximation,Used
Delivery time: 8-12 business days (International)
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 > 1, when the geometric order of approximation 1/qn 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.
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