On Simultaneous Approximation for Baskakov-Durrmeyer-Stancu type operators

AUTHOR AND
AFFILIATION

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

KEYWORDS:

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

Issue Date:

December 2012

Pages:

ISSN:

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

Source:

Vol.24 – No.3

PDF

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DOI:

jusps-A

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.

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:

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

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


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.