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Chlodowsky type generalization of (p, q)-Szász operators involving Brenke type polynomials

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Abstract

In this paper, we introduce a Chlodowsky variant of the Szász operators by means of the (p, q)-integers as well as of the (p, q)-Gaussian binomial coefficients. For\(0< q <p \le 1,\) we denote the sequence of (p, q)-Szász operators by \(L_{n,p, q}\) and obtain some direct theorems and results based on statistical convergence. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.

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Authors and Affiliations

  1. Department of Mathematics, Gazi University, 06100, Ankara, Turkey

    Uğur Kadak

  2. L. 1627 Awadh Puri Colony, Phase-III, Beniganj, Opposite-Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad, Uttar Pradesh, 224 001, India

    Vishnu Narayan Mishra

  3. Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat, 395 007, India

    Vishnu Narayan Mishra & Shikha Pandey

  4. Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, 484 887, Madhya Pradesh, India

    Vishnu Narayan Mishra

Authors
  1. Uğur Kadak
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  2. Vishnu Narayan Mishra
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  3. Shikha Pandey
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Correspondence to Uğur Kadak.

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Kadak, U., Mishra, V.N. & Pandey, S. Chlodowsky type generalization of (p, q)-Szász operators involving Brenke type polynomials. RACSAM 112, 1443–1462 (2018). https://doi.org/10.1007/s13398-017-0439-y

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  • DOI: https://doi.org/10.1007/s13398-017-0439-y

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