Archiv der Mathematik

, Volume 90, Issue 2, pp 144–149

Local approximation results for Szász-Mirakjan type operators

Article

DOI: 10.1007/s00013-007-2354-5

Cite this article as:
Özarslan, M.A. & Duman, O. Arch. Math. (2008) 90: 144. doi:10.1007/s00013-007-2354-5

Abstract.

In this study, motivating our earlier work [O. Duman and M.A. Özarslan, Szász-Mirakjan type operators providing a better error estimation. Appl. Math. Lett. 20, 1184–1188 (2007)], we investigate the local approximation properties of Szász-Mirakjan type operators. The second modulus of smoothness and Petree’s K-functional are considered in proving our results.

Mathematics Subject Classification (2000).

41A25 41A36 

Keywords.

Szász-Mirakjan operators the second modulus of smoothness Petree’s K-functional local approximation positive linear operators 

Copyright information

©  2008

Authors and Affiliations

  1. 1.Faculty of Arts and Sciences, Department of MathematicsEastern Mediterranean UniversityGazimagusa, Mersin 10Turkey
  2. 2.Faculty of Arts and Sciences, Department of MathematicsTOBB Economics and Technology UniversityAnkaraTurkey

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