(p,q)-Baskakov-Kantorovich Operators

Authors

Vijay Gupta, Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, IndiaFollow

Author Country (or Countries)

India

Abstract

In the last decade the applications of quantum calculus in the field of approximation theory is an active area of research. The (p,q)-calculus is further extension of q-calculus, which provides a new direction for researchers. In the present article, we propose the (p,q)-variant of the Baskakov-Kantorovich operators, using (p,q)-integrals. We estimate moments and establish direct results, using linear approximating methods viz. Steklov mean and K-functionals in terms of modulus of continuity. Also, in a weighted space, we obtain a direct estimate.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100433

Recommended Citation

Gupta, Vijay (2016) "(p,q)-Baskakov-Kantorovich Operators," Applied Mathematics & Information Sciences: Vol. 10: Iss. 4, Article 33.
DOI: http://dx.doi.org/10.18576/amis/100433
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss4/33