Stancu-Durrmeyer Type Operators Based on q-Integers

Authors

Trapti Neer, Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, IndiaFollow
P. N. Agrawal, Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, IndiaFollow
Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyFollow

Author Country (or Countries)

India

Abstract

In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem and approximation for a Lipschitz type space. Also, we establish the Korovkin type A-statistical approximation theorem and rates of A-statistical convergence in terms of the modulus of continuity.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110317

Recommended Citation

Neer, Trapti; N. Agrawal, P.; and Araci, Serkan (2017) "Stancu-Durrmeyer Type Operators Based on q-Integers," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 17.
DOI: http://dx.doi.org/10.18576/amis/110317
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/17