$Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann‐Liouville integrals$

Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann‐Liouville integrals

Inspired with papers by Bokhari, Qadir, and Al‐Attas (2010) and by Rapaić, Šekara, and Govedarica (2014), in this paper we investigate a few types of orthogonal polynomials on finite intervals and derive the corresponding quadrature formulas of Gaussian type for efficient numerical computation of th...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2021-01, Vol.44 (1), p.493-516
1. Verfasser:	Milovanović, Gradimir V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Gaussian quadrature rule Integrals Numerical analysis orthogonal polynomials Polynomials Quadratures Riemann‐Liouville fractional integral three‐term recurrence relation weight function
Online-Zugang:	Volltext
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