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GBS Operators of Lupaş–Durrmeyer Type Based on Polya Distribution

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Abstract

In this paper, we study an extension of the bivariate Lupaş–Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre’s K-functional. Then, we construct the Generalized Boolean Sum operators of Lupaş–Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    P. N. Agrawal & Arun Kajla

  2. Department of Mathematics, Sciences and Arts Faculty, Gazi University, 06500, Ankara, Turkey

    Nurhayat Ispir

Authors
  1. P. N. Agrawal
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  2. Nurhayat Ispir
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  3. Arun Kajla
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Correspondence to Arun Kajla.

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Agrawal, P.N., Ispir, N. & Kajla, A. GBS Operators of Lupaş–Durrmeyer Type Based on Polya Distribution. Results. Math. 69, 397–418 (2016). https://doi.org/10.1007/s00025-015-0507-6

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  • DOI: https://doi.org/10.1007/s00025-015-0507-6

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