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I-convergence theorems for a class of k-positive linear operators

Mehmet Özarslan — 2009

Open Mathematics

In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.

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

Mehmet Özarslan; Hüseyin Aktuǧlu — 2008

Open Mathematics

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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