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Some variations of the Bohman–Korovkin theorem |
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| Authors: | zlem G Atlihan H Gül &#x;nce Cihan Orhan |
| Institution: | aAnkara University, Faculty of Science, Department of Mathematics, Tandoğan 06100, Ankara, Turkey;bGazi University, Sciences and Arts Faculty Department of Mathematics, Teknikokullar 06500, Ankara, Turkey |
| Abstract: | In this paper we develop the main aspects of the Bohman–Korovkin theorem on approximation of continuous functions with the use of A-statistical convergence and matrix summability method which includes both convergence and almost convergence. Since statistical convergence and almost convergence methods are incompatible we conclude that these methods can be used alternatively to get some approximation results. |
| Keywords: | Matrix summability method Sequence of positive linear operators Korovkin type theorem Weierstrass’ approximation theorem Fè jer’ s approximation theorem A-statistical convergence |
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