Applications of q-Calculus in Operator Theory

Authors: ARAL, Ali, Gupta, Vijay, Agarwal, Ravi P.

  • The first book on q-calculus in approximation theory 
  • Provides a good resource for researchers and teachers
  • Features many applications of q calculus in the theory of approximation
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  • ISBN 978-1-4614-6946-9
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  • Immediate eBook download after purchase
Hardcover $129.00
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  • ISBN 978-1-4614-6945-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
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  • ISBN 978-1-4899-9625-1
  • 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
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About this book

The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. ​​This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain​ forms the gist of the book.

This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.

Reviews

From the reviews:

“In the book under review, the authors collect up-to-date and important results on the q-type positive linear operators. The book includes many mathematical proof techniques and ideas and it may serve as one of the most useful reference books in this field. Therefore it can be recommended to graduate students and postgraduate researchers and in mathematics, physics and engineering.” (Ogün Doğru, Mathematical Reviews, March, 2014)


Table of contents (7 chapters)

  • Introduction of q-Calculus

    Aral, Ali (et al.)

    Pages 1-13

  • q-Discrete Operators and Their Results

    Aral, Ali (et al.)

    Pages 15-72

  • q-Integral Operators

    Aral, Ali (et al.)

    Pages 73-112

  • q-Bernstein-Type Integral Operators

    Aral, Ali (et al.)

    Pages 113-144

  • q-Summation–Integral Operators

    Aral, Ali (et al.)

    Pages 145-194

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-6946-9
  • 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 978-1-4614-6945-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4899-9625-1
  • 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
Applications of q-Calculus in Operator Theory
Authors
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6946-9
DOI
10.1007/978-1-4614-6946-9
Hardcover ISBN
978-1-4614-6945-2
Softcover ISBN
978-1-4899-9625-1
Edition Number
1
Number of Pages
XII, 262
Topics