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Generalized Jacobi–Koornwinder’s-type Bernstein polynomials bases transformations

Mohammad A. AlQudah

School of Basic Sciences and Humanities, German Jordanian University, Amman 11180, Jordan

E-mail Address: mohammad.qudah@gju.edu.jo

Corresponding author.

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and

Maalee N. AlMheidat

Department of Basic Sciences, University of Petra, Amman 11196, Jordan

E-mail Address: malmheidat@uop.edu.jo

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https://doi.org/10.1142/S0129167X16500865Cited by:3 (Source: Crossref)

Abstract

This paper provides an explicit closed form of generalized Jacobi–Koornwinder’s polynomials of degree $r \leq n$ $r \leq n$ in terms of the Bernstein basis of fixed degree $n .$ $n .$ Moreover, explicit forms of generalized Jacobi–Koornwinder’s type and Bernstein polynomials bases transformations are considered.

Keywords:

AMSC: 33C45, 33C50, 42C05, 05A10, 33B15

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