Sign in
ON (p, q)-ANALOGUE OF DIVIDED DIFFERENCES AND BERNSTEIN OPERATORS
Journal article   Peer reviewed

ON (p, q)-ANALOGUE OF DIVIDED DIFFERENCES AND BERNSTEIN OPERATORS

M. Mursaleen, Md Nasiruzzaman, F. Khan, A. Khan and Mohammad Nasiruzzaman
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, Vol.2017(1)
01/01/2017

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, (p, q)-calculus is applied to construct (p, q)-analogue of divided differences. Another equivalent form of (p, q)-Bernstein operators which generalize the Phillips q-Bernstein polynomials are defined in terms of (p, q)-divided differences. It is shown that these operators reproduce constant as well as linear test functions. Further, we show that the difference of two consecutive (p, q)-Bernstein polynomials of a function f can be expressed in terms of second-order divided differences of f.

Metrics

4 Record Views

Details