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Statistical \(\fancyscript{A}\)-summation process and Korovkin type approximation theorem on modular spaces

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Abstract

In this paper, we obtain an extension of the classical Korovkin theorem for a sequence of positive linear operators on a modular space using a statistical \(\fancyscript{A}\)-summation process. Also, we give an example which satisfies this theorem.

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Correspondence to Sevda Orhan.

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This research was done when the second author was visiting Kent State University and research was supported by the Higher Education Council of Turkey (YOK).

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Orhan, S., Demirci, K. Statistical \(\fancyscript{A}\)-summation process and Korovkin type approximation theorem on modular spaces. Positivity 18, 669–686 (2014). https://doi.org/10.1007/s11117-013-0269-x

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  • DOI: https://doi.org/10.1007/s11117-013-0269-x

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