A NEW APPROACH IN OBTAINING A BETTER ESTIMATION IN APPROXIMATION BY POSITIVE LINEAR OPERATORS

Year 2009, Volume: 58 Issue: 1, 17 - 22, 01.02.2009

Ali Özarslan M. Oktay Duman

https://doi.org/10.1501/Commua1_0000000643

Cited By: 2

Abstract

In this study, without preserving some test functions, we presenta new approach in obtaining a better error estimation in the approximationby means of positive linear operators. We also show that our method can beapplied to many well-known approximation operators

Keywords

The Korovkin theorem, Bernstein polynomials, Szász-Mirakjan operators, Bernstein-Kantorovich operators, rate of convergence

References

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• F. Altomare and M. Campiti, Korovkin-type Approximation Theory and its Application, Wal- ter de Gruyter Studies in Math. 17, de Gruyter & Co., Berlin, 1994.
• O. Duman and M.A. Özarslan, Szász-Mirakjan type operators providing a better error esti- mation, Appl. Math. Lett. 20 (2007) 1184-1188.
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• M.A. Özarslan and O. Duman, MKZ type operators providing a better estimation on [1=2; 1), Canadian Math. Bull. 50 (2007) 434-439. Current address : M. Ali Özarslan: Eastern Mediterranean University, Faculty of Arts and
• Sciences, Department of Mathematics, Gazimagusa, Mersin 10, Turkey
• Oktay Duman: TOBB Economics and Technology University, Faculty of Arts and Sciences, De
• partment of Mathematics, Sö¼gütözü 06530, Ankara, Turkey E-mail address : [e-mail], [e-mail]