A new approach to modified q-Bernstein polynomials for functions of two variables with their generating and interpolation functions
Number Theory
2013-12-06 v1
Abstract
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions of two variables. By using these type polynomials, we derive recurrence formulas and some new interesting identities related to the second kind Stirling numbers and generalized Bernoulli polynomials. Moreover, we give the generating function and interpolation function of these modified q-Bernstein polynomials of two variables and also give the derivatives of these polynomials and their generating function.
Keywords
Cite
@article{arxiv.1205.4192,
title = {A new approach to modified q-Bernstein polynomials for functions of two variables with their generating and interpolation functions},
author = {Mehmet Acikgoz and Serkan Araci},
journal= {arXiv preprint arXiv:1205.4192},
year = {2013}
}
Comments
11 pages