Title of article
Special linear combinations of orthogonal polynomials
Author/Authors
Zinoviy Grinshpun، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2004
Pages
18
From page
1
To page
18
Abstract
The paper lists a number of problems that motivate consideration of special linear combinations
of polynomials, orthogonal with the weight p(x) on the interval (a, b). We study properties of the
polynomials, as well as the necessary and sufficient conditions for their orthogonality. The special
linear combinations of Chebyshev orthogonal polynomials of four kinds with absolutely constant
coefficients hold a distinguished place in the class of such linear combinations.
2004 Elsevier Inc. All rights reserved
Keywords
Linear combinations , Bernstein–Szeg?polynomials , Linearization coefficients , Chebyshev polynomials , orthogonal polynomials , Extrema properties , Weight function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2004
Journal title
Journal of Mathematical Analysis and Applications
Record number
931495
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