Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind

2015/03/25 by Mohammad Alqudah, AlQudah, Mohammad A., Maalee Almheidat +1
Engineering · Mathematics · #05A10 #33B15 #33C45 #33C50 #42C05 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Tribology and Lubrication Engineering

paper · pdf · doi:10.48550/arxiv.1503.07393

openalex publication_date 2015/03/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

In this paper an explicit form of generalized Chebyshev Koornwinder's type polynomial of first kind in terms of the Bernstein basis of fixed degree n is provided. Moreover, we investigate generalized Chebyshev Koornwinder's type polynomials of first kind and Bernstein polynomials change of bases.

Related

• Change of Basis from Bernstein to Zernike
• Change of Basis between Classical Orthogonal Polynomials
• A Method for Obtaining Polynomials of Bernstein Type of Two Variables
• Note on the Modified q-Bernstein Polynomials
• Riordan arrays, Chebyshev polynomials, Fibonacci bases