Electronic Resource

Overconvergence in complex approximation

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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/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 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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E581

Penerbit

New York : Springer New York., 2014

Deskripsi Fisik

xiv, 194hlm.

Bahasa

English

ISBN/ISSN

9781461470984

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Matematika
Analisis Numerik
Analisis Matematika
Analisis kompleks
Aproksimasi

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Sorin G. Gal

Versi lain/terkait

Lampiran Berkas

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