Simultaneous approximation for the Phillips operators

We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.

Saved in:
Bibliographic Details
Main Authors: N. K. Govil, Vijay Gupta, Muhammad Aslam Noor
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/49094
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832555936690995200
author N. K. Govil
Vijay Gupta
Muhammad Aslam Noor
author_facet N. K. Govil
Vijay Gupta
Muhammad Aslam Noor
author_sort N. K. Govil
collection DOAJ
description We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.
format Article
id doaj-art-9c2ff10b1b5c40e9a43510b0240d0ebf
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-9c2ff10b1b5c40e9a43510b0240d0ebf2025-02-03T05:46:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4909449094Simultaneous approximation for the Phillips operatorsN. K. Govil0Vijay Gupta1Muhammad Aslam Noor2Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5108, USASchool of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110075, IndiaMathematics Department, COMSATS Institute of Information Technology, Islamabad, PakistanWe study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.http://dx.doi.org/10.1155/IJMMS/2006/49094
spellingShingle N. K. Govil
Vijay Gupta
Muhammad Aslam Noor
Simultaneous approximation for the Phillips operators
International Journal of Mathematics and Mathematical Sciences
title Simultaneous approximation for the Phillips operators
title_full Simultaneous approximation for the Phillips operators
title_fullStr Simultaneous approximation for the Phillips operators
title_full_unstemmed Simultaneous approximation for the Phillips operators
title_short Simultaneous approximation for the Phillips operators
title_sort simultaneous approximation for the phillips operators
url http://dx.doi.org/10.1155/IJMMS/2006/49094
work_keys_str_mv AT nkgovil simultaneousapproximationforthephillipsoperators
AT vijaygupta simultaneousapproximationforthephillipsoperators
AT muhammadaslamnoor simultaneousapproximationforthephillipsoperators