Overconvergence in Complex Approximation

Authors: Gal, Sorin G.

  • ​ Presents quantitative overconvergence results in complex approximation
  • Generalizes and extends the results for certain cases of the complex q-Bernstein operators
  • Includes a notes and open problems section at the end of each chapter, promoting future research
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  • ISBN 978-1-4899-9791-3
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About this book

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.

Table of contents (3 chapters)

  • Overconvergence in ℂ of Some Bernstein-Type Operators

    Gal, Sorin G.

    Pages 1-115

  • Overconvergence and Convergence in ℂ of Some Integral Convolutions

    Gal, Sorin G.

    Pages 117-162

  • Overconvergence in ℂ of the Orthogonal Expansions

    Gal, Sorin G.

    Pages 163-183

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-7098-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-7097-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4899-9791-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Overconvergence in Complex Approximation
Authors
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7098-4
DOI
10.1007/978-1-4614-7098-4
Hardcover ISBN
978-1-4614-7097-7
Softcover ISBN
978-1-4899-9791-3
Edition Number
1
Number of Pages
XIV, 194
Topics