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Statistical lacunary summability and a Korovkin type approximation theorem

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Abstract

In this paper, we introduce statistical lacunary summability and strongly θ q -convergence (0 < q < ∞) and establish some relations between lacunary statistical convergence, statistical lacunary summability, and strongly θ q -convergence. We further apply our new notion of summability to prove a Korovkin type approximation theorem.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    M. Mursaleen

  2. Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia

    A. Alotaibi

Authors
  1. M. Mursaleen
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  2. A. Alotaibi
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Correspondence to M. Mursaleen.

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Mursaleen, M., Alotaibi, A. Statistical lacunary summability and a Korovkin type approximation theorem. Ann Univ Ferrara 57, 373–381 (2011). https://doi.org/10.1007/s11565-011-0122-8

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  • DOI: https://doi.org/10.1007/s11565-011-0122-8

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