On Simultaneous Approximation for Baskakov-Durrmeyer-Stancu type operators

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Home

On Simultaneous Approximation for Baskakov-Durrmeyer-Stancu type operators

Author:

VISHNU NARAYAN MISHRA, KEJAL KHATRI and L. N. MISHRA*

Affiliation:

Department of Applied Mathematics and Humanities Sardar Vallabhbhai National Institute of Technology Ichchhanath Mahadev Road Surat 395007 India

Dr Ram Manohar Lohia Avadh University Hawai Patti Allahabad Faizabad India

Email:-vishnu_narayanmishra@yahoo.co.in Email:- lakshminaryanmishra04@gmail.com

Keyword:

Hypergeometric series, Baskakov-Durrmeyer- Stancu operators, Voronvoskaja type asymptotic formula. 2000 Mathematics Subject Classification: 41A25, 41A35.

Issue Date:

December 2012

Abstract:

The aim of the present paper is to introduce and study the mixed summation-integral type operators having Baskakov and Beta basis functions in summation and integration, respectively. First, we estimate moments of these operators using hypergeometric series. Next, we obtain the basic point-wise convergence, a Voronovskaja type asymptotic formula.

Pages:

ISSN:

2319-8044 (Online) - 2231-346X (Print)

Source:

Vol.24 - No.3

PDF:

Click here to download full paper

DOI:

Share This:

Copy the following to cite this article:

VISHNU NARAYAN MISHRA, KEJAL KHATRI and L. N. MISHRA*, "On Simultaneous Approximation for Baskakov-Durrmeyer-Stancu type operators", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 3, Page Number , 2016

Copy the following to cite this URL:

Available from: https://www.ultrascientist.org/paper/561/

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License