000 02942nam a22004455i 4500
001 978-1-4614-7098-4
003 DE-He213
005 20140220082828.0
007 cr nn 008mamaa
008 130427s2013 xxu| s |||| 0|eng d
020 _a9781461470984
_9978-1-4614-7098-4
024 7 _a10.1007/978-1-4614-7098-4
_2doi
050 4 _aQA401-425
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a511.4
_223
100 1 _aGal, Sorin G.
_eauthor.
245 1 0 _aOverconvergence in Complex Approximation
_h[electronic resource] /
_cby Sorin G. Gal.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXIV, 194 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aOverconvergence in C of Some Bernstein-Type Operators -- Overconvergence and Convergence in C of Some Integral Convolutions -- Overconvergence in C of the Orthogonal Expansions .
520 _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.
650 0 _aMathematics.
650 0 _aFunctions of complex variables.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aApproximations and Expansions.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461470977
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-7098-4
912 _aZDB-2-SMA
999 _c95843
_d95843