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On discrete q-beta operators

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Abstract

The aim of the present paper is to introduce and study the q-analogue of discrete beta operators. First, we show some approximation properties of these operators. Then, we establish some global direct error estimates for the above operators using the second order Ditzian–Totik modulus of smoothness. Finally, we define and study the limit discrete q-beta operator.

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Authors and Affiliations

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

    Vijay Gupta

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

    P. N. Agrawal & Durvesh Kumar Verma

Authors
  1. Vijay Gupta
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  2. P. N. Agrawal
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  3. Durvesh Kumar Verma
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Correspondence to Vijay Gupta.

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Gupta, V., Agrawal, P.N. & Verma, D.K. On discrete q-beta operators. Ann Univ Ferrara 57, 39–66 (2011). https://doi.org/10.1007/s11565-011-0118-4

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  • DOI: https://doi.org/10.1007/s11565-011-0118-4

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