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arxiv: 1504.05093 · v1 · pith:6J55VEEDnew · submitted 2015-04-20 · 🧮 math.CA

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

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keywords lorentzpolynomialsapproximationcompactcomplexanalogueanalyticattached
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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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