An improved upper bound for ultraspherical coefficients
Publish place: Journal of Mathematical Modeling، Vol: 10، Issue: 3
Publish Year: 1401
Type: Journal paper
Language: English
View: 129
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Document National Code:
JR_JMMO-10-3_004
Index date: 8 June 2024
An improved upper bound for ultraspherical coefficients abstract
In this paper, new upper bounds for the ultraspherical coefficients of differentiable functions are presented. Using partial sums of ultraspherical polynomials, error approximations are presented to estimate differentiable functions. Also, an error estimate of the Gauss-Jacobi quadrature is obtained and we state an upper bound for Legendre coefficients which is sharper than upper bounds proposed so far. Numerical examples are given to assess the efficiency of the presented theoretical results.
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An improved upper bound for ultraspherical coefficients authors
Mehdi Hamzehnejad
Department of Mathematics, Faculty of Science and Modern Technology, Graduate University of Advanced Technology, Kerman, Iran
Mohammad Mehdi Hosseini
Department of Applied Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
Abbas Salemi
Department of Applied Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
