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(pq)-Beta functions and applications in approximation

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Abstract

In the present paper, we consider (pq)-analogue of the beta operators and using it, we propose the integral modification of the generalized Bernstein polynomials. We estimate some direct results on local and global approximation. Also, we illustrate some graphs for the convergence of (pq)-Bernstein–Durrmeyer operators for different values of the parameters p and q using Mathematica package.

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Correspondence to Vijay Gupta.

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This paper was supported by the Serbian Ministry of Education, Science and Technological Development (No. #OI 174015).

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Milovanović, G.V., Gupta, V. & Malik, N. (pq)-Beta functions and applications in approximation. Bol. Soc. Mat. Mex. 24, 219–237 (2018). https://doi.org/10.1007/s40590-016-0139-1

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  • DOI: https://doi.org/10.1007/s40590-016-0139-1

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