Article citationsMore >>

Kim, T., Jang, L.-C., and Yi, H., Note on the modified q-Bernstein polynomials, Discrete Dyanmics in Nature and Society, Volume 2010 (2010), Article ID 706483, 12 pages.

has been cited by the following article:

Article

q-Bernstein-Type Polynomials for Functions of Two Variables with Their Generating and Interpolation Functions

1University of Gaziantep, Faculty of Arts and Science, Department of Mathematics, Gaziantep, Turkey

2Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey

3Atatürk Street, Hatay, Turkey


Turkish Journal of Analysis and Number Theory. 2013, Vol. 1 No. 1, 36-42
DOI: 10.12691/tjant-1-1-8
Copyright © 2013 Science and Education Publishing

Cite this paper:
Mehmet ACIKGOZ, Erdoğan ŞEN, Serkan ARACI. q-Bernstein-Type Polynomials for Functions of Two Variables with Their Generating and Interpolation Functions. Turkish Journal of Analysis and Number Theory. 2013; 1(1):36-42. doi: 10.12691/tjant-1-1-8.

Correspondence to: Serkan  ARACI, Atatürk Street, Hatay, Turkey. Email: mtsrkn@hotmail.com

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