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(p, q)-Variant of Szász–Beta operators

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In the present paper, we introduce certain (p, q) analogue of the Szász–Beta operators using (p, q)-variant of Beta function of second kind. We present direct theorem in weighted spaces in terms of suitable weighted modulus of smoothness and Grüss-type inequality for mentioned operator. A Voronovskaya type theorem is also given.

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Authors and Affiliations

  1. Department of Mathematics, Kirikkale University, 71450, Yahsihan, Kirikkale, Turkey

    Ali Aral

  2. Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta

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  1. Ali Aral
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  2. Vijay Gupta
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Correspondence to Ali Aral.

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Aral, A., Gupta, V. (p, q)-Variant of Szász–Beta operators. RACSAM 111, 719–733 (2017). https://doi.org/10.1007/s13398-016-0325-z

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  • DOI: https://doi.org/10.1007/s13398-016-0325-z

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