( p,q)-Genuine Baskakov-Durrmeyer operators

Document Type : Research Paper

Authors
Vijay Gupta 1
Th. M. Rassias 2
1 Netaji Subhas Institute of Technology New Delhi, India
2 National Technical University of Athens Department of Mathematics Zografou Campus, GR-15780, Athens, Greece
10.22075/ijnaa.2016.454
Abstract
In the present article, we propose the $(p,q)$ variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
Keywords
q)$-Beta function
$(p
q)$-Gamma function
Baskakov operators
Durrmeyer variant
Steklov mean
$K$-functional
direct estimates
International Journal of Nonlinear Analysis and Applications
Volume 7, Issue 2 - Serial Number 2
December 2016
Pages 69-76

  • Receive Date 18 December 2015
  • Revise Date 13 May 2016
  • Accept Date 18 May 2016

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