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Weighted Statistical Convergence of Bögel Continuous Functions by Positive Linear Operator

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Advances in Summability and Approximation Theory

Abstract

In the present work, we have introduced a weighted statistical approximation theorem for sequences of positive linear operators defined on the space of all real-valued B-continuous functions on a compact subset of \( \mathbb {R} ^{2}= \mathbb {R} \times \mathbb {R} \). Furthermore, we display an application which shows that our new result is stronger than its classical version.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sinop University, 57000, Sinop, Turkey

    Fadime Dirik

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  1. Fadime Dirik
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Correspondence to Fadime Dirik .

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Editors and Affiliations

  1. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    S. A. Mohiuddine

  2. Department of Mathematics, Selçuk University, Selçuklu, Konya, Turkey

    Tuncer Acar

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Dirik, F. (2018). Weighted Statistical Convergence of Bögel Continuous Functions by Positive Linear Operator. In: Mohiuddine, S., Acar, T. (eds) Advances in Summability and Approximation Theory. Springer, Singapore. https://doi.org/10.1007/978-981-13-3077-3_11

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