Some Approximation Properties of Baskakov-Sz?sz- Stancu Operators

Authors

Vishnu Narayan Mishra, Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Surat-395 007 (Gujarat), India\\ L.1627 Awadh Puri Colony Beniganj, Phase -III, Opposite - Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad-224 001, (Uttar Pradesh), IndiaFollow
M. Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaFollow
Preeti Sharma, Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Surat-395 007 (Gujarat), IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we are dealing with a new type of Baskakov-Sz´asz-Stancu operators D(a,b ) n ( f , x) defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic formulae for these operators. In the last section, we establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,¥).

Recommended Citation

Narayan Mishra, Vishnu; Mursaleen, M.; and Sharma, Preeti (2015) "Some Approximation Properties of Baskakov-Sz?sz- Stancu Operators," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 45.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/45