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Local approximation results for Szász-Mirakjan type operators

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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.

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Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey

    Mehmet Ali Özarslan

  2. Faculty of Arts and Sciences, Department of Mathematics, TOBB Economics and Technology University, Ankara, Söğütözü, 06530, Turkey

    Oktay Duman

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  1. Mehmet Ali Özarslan
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  2. Oktay Duman
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Correspondence to Mehmet Ali Özarslan.

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Received: 17 September 2007

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Özarslan, M.A., Duman, O. Local approximation results for Szász-Mirakjan type operators. Arch. Math. 90, 144–149 (2008). https://doi.org/10.1007/s00013-007-2354-5

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  • DOI: https://doi.org/10.1007/s00013-007-2354-5

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