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Local approximation properties of certain class of linear positive operators via I—convergence

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Central European Journal of Mathematics

Abstract

In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I—convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I—convergence sense.

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Authors and Affiliations

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

    Mehmet Ali Özarslan & Hüseyin Aktuǧlu

Authors
  1. Mehmet Ali Özarslan
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  2. Hüseyin Aktuǧlu
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Correspondence to Mehmet Ali Özarslan.

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Özarslan, M.A., Aktuǧlu, H. Local approximation properties of certain class of linear positive operators via I—convergence. centr.eur.j.math. 6, 281–286 (2008). https://doi.org/10.2478/s11533-008-0125-6

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  • DOI: https://doi.org/10.2478/s11533-008-0125-6

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