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Catalogue Information
Field name	Details
Dewey Class	511.4
Title	Overconvergence in Complex Approximation ([Ebook]) / by Sorin G. Gal.
Author	Gal, Sorin G.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XIV, 194 pages : online resource.
ISBN	9781461470984
Summary Note	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 approximation 1/q 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 expansionsÂ (ofÂ Chebyshev, Legendre, Hermite,Â 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.Â Â This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis.:
Contents note	Overconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions -- Overconvergence in C of the Orthogonal Expansions .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-7098-4
Links to Related Works	Subject References: Approximations and Expansions . Differential equations, Partial . Functions of a Complex Variable . Functions of complex variables . Mathematics . Several Complex Variables and Analytic Spaces . Authors: Gal, Sorin G. . Corporate Authors: SpringerLink (Online service) . Classification: 511.4 .

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Overconvergence in Complex Approximation

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