Overconvergence in Complex Approximation

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Overconvergence in Complex Approximation by Sorin G. Gal, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sorin G. Gal ISBN: 9781461470984
Publisher: Springer New York Publication: July 8, 2014
Imprint: Springer Language: English
Author: Sorin G. Gal
ISBN: 9781461470984
Publisher: Springer New York
Publication: July 8, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Reviews of Environmental Contamination and Toxicology by Sorin G. Gal
Cover of the book Ecosystems and Human Health by Sorin G. Gal
Cover of the book Skin of Color by Sorin G. Gal
Cover of the book The Medical Interview by Sorin G. Gal
Cover of the book Hedgehog signaling activation in human cancer and its clinical implications by Sorin G. Gal
Cover of the book Glandular Lesions of the Uterine Cervix by Sorin G. Gal
Cover of the book The Heat Kernel and Theta Inversion on SL2(C) by Sorin G. Gal
Cover of the book Candy Bites by Sorin G. Gal
Cover of the book Multivariate Statistical Quality Control Using R by Sorin G. Gal
Cover of the book The Painted Stork by Sorin G. Gal
Cover of the book Plant Physiological Ecology by Sorin G. Gal
Cover of the book Complex Analysis by Sorin G. Gal
Cover of the book High-Performance Computing Using FPGAs by Sorin G. Gal
Cover of the book Clinical Handbook of Assessing and Treating Conduct Problems in Youth by Sorin G. Gal
Cover of the book Multisensory Object Perception in the Primate Brain by Sorin G. Gal
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy