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.
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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/49094 |
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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 |