Sigmoidal cosine series on the interval

DOI10.1017/S1446181100010075zbMath1119.41029OpenAlexW2152810042MaRDI QIDQ3430019

Beong In Yun

Publication date: 20 March 2007

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100010075

zbMATH Keywords

Fourier seriessigmoidal transformationsigmoidal-cosine series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
• A generalized non-linear transformation for evaluating singular integrals
• A New Sigmoidal Transformation for Weakly Singular Integrals in the Boundary Element Method
• An Extended Sigmoidal Transformation Technique for Evaluating Weakly Singular Integrals without Splitting the Integration Interval
• Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals
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