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Approximation by q Baskakov Beta operators

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Abstract

In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞). Then we obtain point-wise estimate, using the Lipschitz type maximal function.

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Authors and Affiliations

  1. School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta

  2. Department of Mathematics, Kırıkkale University, Faculty of Science and Arts, Yahşihan, Kirikkale, Turkey

    Ali Aral

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

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Gupta, V., Aral, A. Approximation by q Baskakov Beta operators. Acta Math. Appl. Sin. Engl. Ser. 27, 569–580 (2011). https://doi.org/10.1007/s10255-011-0072-z

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  • DOI: https://doi.org/10.1007/s10255-011-0072-z

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