Title of article :
ON (p, q)-ANALOG OF STANCU-BETA OPERATORS and THEIR APPROXIMATION PROPERTIES
Author/Authors :
MURSALEEN, M Department of Mathematics - Aligarh Muslim University - Aligarh, India , KHAN, TAQSEER Department of Mathematics - Jamia Millia Islamia - New Delhi, India
Abstract :
In this paper we introduce the (p, q) -analogue of the Stancu-Beta operators
and call them as the (p, q)-Stancu-Beta operators. We study approximation properties
of these operators based on the Korovkin’s approximation theorem and also study some
direct theorems. Also, we study the Voronovskaja type estimate for these operators.
Keywords :
(p, q)-calculus , Stancu-Beta operators , modulus of continuity , positive linear operators , Korovkin type approximation theorem , Lipschitz class of functions
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics