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Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem

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Abstract

In the present work, we define a new type of statistical convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem with the help of this new definition. Then, we construct a strong example that satisfies our theory. Finally, we compute the rate of statistical relatively equal convergence.

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Correspondence to Fadime Dirik.

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Dirik, F., Şahin, P.O. Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem. Results Math 72, 1613–1621 (2017). https://doi.org/10.1007/s00025-017-0706-4

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  • DOI: https://doi.org/10.1007/s00025-017-0706-4

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