On orthogonal polynomials and quadrature rules related to the second kind of beta distribution

DOI10.1186/1029-242X-2013-157zbMath1281.41016OpenAlexW2099297785WikidataQ59293049 ScholiaQ59293049MaRDI QIDQ394692

Mohammad Masjed-Jamei, Nawab Hussain

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-157

zbMATH Keywords

weight functionGauss-Jacobi quadrature rulesdual symmetric distributions familysecond kind of beta distributionsymmetric orthogonal polynomials

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• Application of a new integral expansion for solving a class of functional equations
• An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation