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Applications of q-Calculus in Operator Theory

  • Ali Aral
  • Vijay Gupta
  • Ravi P Agarwal

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 1-13
  3. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 15-72
  4. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 73-112
  5. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 113-144
  6. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 145-194
  7. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 195-222
  8. Ali Aral, Vijay Gupta, Ravi P. Agarwal
    Pages 223-250
  9. Back Matter
    Pages 251-262

About this book

Introduction

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.

Keywords

Voronovskaya's theorem generating functions q-Bernstein polynomials q-Durrmeyer operators q-calculus q-integers

Authors and affiliations

  • Ali Aral
    • 1
  • Vijay Gupta
    • 2
  • Ravi P Agarwal
    • 3
  1. 1.Department of MathematicsKırıkkale UniversityYahşihanTurkey
  2. 2.School of Applied SciencesNetaji Subhas Institute of TechnologyNew DelhiIndia
  3. 3.Department of MathematicsTexas A&M University-KingsvilleKingsvilleUSA

Bibliographic information