Applications of q-Calculus in Operator Theory [electronic resource] / by Ali Aral, Vijay Gupta, Ravi P Agarwal.

Introduction of q-calculus -- q-Discrete operators and their results -- q-Integral operators -- q-Bernstein type integral operators -- q-Summation-integral operators -- Statistical convergence of q-operators -- q-Complex operators.

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.