Generalized Gaussian quadratures for integrals with logarithmic singularity

Author:

Milovanovic Gradimir1ORCID

Affiliation:

1. Serbian Academy of Sciences and Arts, Beograd + State University of Novi Pazar, Novi Pazar

Abstract

A short account on Gaussian quadrature rules for integrals with logarithmic singularity, as well as some new results for weighted Gaussian quadrature formulas with respect to generalized Gegenbauer weight x |? |x|(1-x2)?, ? > -1, on (-1,1), which are appropriated for functions with and without logarithmic singularities, are considered. Methods for constructing such kind of quadrature formulas and some numerical examples are included.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Micropitting Load Capacity of Spur and Helical Gears;Springer Series in Solid and Structural Mechanics;2020

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