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arXiv · 1504.05093

Approximation by (p,q)-Lorentz polynomials on a compact disk

M. Mursaleen·Faisal Khan·Asif Khan
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Abstract

In this paper, we introduce a new analogue of Lorentz polynomials based on (p,q)-integers and we call it as (p,q)-Lorentz polynomials. We obtain quantitative estimate in the Voronovskaja's type thoerem and exact orders in simultaneous approximation by the complex (p,q)-Lorentz polynomials of degree n, where q > p > 1 attached to analytic functions in compact disks of the complex plane.

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M. Mursaleen, Faisal Khan, Asif Khan. 2015-04-20. Approximation by (p,q)-Lorentz polynomials on a compact disk. https://arxiv.org/abs/1504.05093

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