Simultaneous Approximation for Generalized Srivastava-Gupta Operators-Reference-Cited by-同舟云学术

Simultaneous Approximation for Generalized Srivastava-Gupta Operators

Published:2015 Issue: Volume:2015 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Acar Tuncer¹,Mishra Lakshmi Narayan²³,Mishra Vishnu Narayan⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, 71450 Kirikkale, Turkey

2. Department of Mathematics, National Institute of Technology, Cachar District, Silchar, Assam 788 010, India

3. L. 1627 Awadh Puri Colony Beniganj, Phase III, Opposite to Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad, Uttar Pradesh 224 001, India

4. Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat District, Surat, Gujarat 395007, India

Abstract

We introduce a new Stancu type generalization of Srivastava-Gupta operators to approximate integrable functions on the interval0,∞and estimate the rate of convergence for functions having derivatives of bounded variation. Also we present simultenaous approximation by new operators in the end of the paper.

Funder

Sardar Vallabhbhai National Institute of Technology

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/936308.pdf

Reference23 articles.

1. A certain family of summation-integral type operators

2. Rate of simultaneous approximation for the Bézier variant of certain operators

3. Faster rate of convergence on Srivastava–Gupta operators