Approximation by (p,q)-Lorentz polynomials on a compact disk
Classical Analysis and ODEs
2015-04-21 v1
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.
Cite
@article{arxiv.1504.05093,
title = {Approximation by (p,q)-Lorentz polynomials on a compact disk},
author = {M. Mursaleen and Faisal Khan and Asif Khan},
journal= {arXiv preprint arXiv:1504.05093},
year = {2015}
}
Comments
13 pages