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A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials

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Abstract

The goal of this paper is to present a Dunkl-Gamma type operator with the help of generalization of the two-variable Hermite polynomials and to derive its approximating properties via the classical modulus of continuity, second modulus of continuity and Peetre’s K-functional.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, 06500, Ankara, Turkey

    Bayram Çekim

  2. Department of Mathematics, Faculty of Science, Ankara University, Tandoğan, 06100, Ankara, Turkey

    Rabia Aktaş & Fatma Taşdelen

Authors
  1. Bayram Çekim
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  2. Rabia Aktaş
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  3. Fatma Taşdelen
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Correspondence to Bayram Çekim.

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Communicated by B. Sury.

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Çekim, B., Aktaş, R. & Taşdelen, F. A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials. Indian J Pure Appl Math 53, 727–735 (2022). https://doi.org/10.1007/s13226-021-00167-9

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  • DOI: https://doi.org/10.1007/s13226-021-00167-9

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