Overview
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\xa0as 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.\xa0\u200b\u200bThis monograph is an introduction to combining approximation theory and q-Calculus with applications, by using\xa0well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic\xa0definitions of\xa0q-calculus before delving into more advanced material. The\xa0many applications of q-calculus in the theory of approximation, especially on\xa0various\xa0operators,\xa0which includes convergence of operators to functions in real and complex domain\u200b forms the gist of the book. This book is suitable for researchers and\xa0students in mathematics,\xa0physics and\xa0engineering,\xa0and for\xa0professionals who would enjoy exploring the host of mathematical\xa0techniques and ideas that are collected and discussed\xa0in the\xa0book.
