Applications of q-Calculus in Operator Theory

• Main Authors: Aral, Ali (Author), Gupta, Vijay (Author), Agarwal, Ravi P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Functions of complex variables.; Approximations and Expansions.; Functions of a Complex Variable.; Functional Analysis.

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 generalizat...

Table of Contents:

• 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.