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010   $a1-4614-7098-6
024 7 $a10.1007/978-1-4614-7098-4
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100   $a20130427d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOverconvergence in complex approximation /$fSorin G. Gal
205   $a1st ed. 2013.
210   $aNew York $cSpringer Science$d2013
215   $a1 online resource (206 p.)
300   $aDescription based upon print version of record.
311   $a1-4899-9791-1 
311   $a1-4614-7097-8 
320   $aIncludes bibliographical references and index.
327   $aOverconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions  -- Overconvergence in C of the Orthogonal Expansions .
330   $aThis 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 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.
606   $aApproximation theory
606   $aFunctional analysis
615  0$aApproximation theory.
615  0$aFunctional analysis.
676   $a511/.4
700   $aGal$b Sorin G$0474332
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437872803321
996   $aOverconvergence in Complex Approximation$92504200
997   $aUNINA