Rate of convergence of Fourier-Legendre series of functions of the class \((n^\alpha)BV^p[-1,1]\)

DOI10.12697/acutm.2024.28.12MaRDI QIDQ6669869

Unnamed Author, Bhikha Lila Ghodadra

Publication date: 22 January 2025

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

rate of convergencepointwise convergencegeneralized bounded variationFourier-Legendre series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Rate of convergence, degree of approximation (41A25)

Cites Work

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• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• On a general convergence theorem, and the theory of the representation of a function by series of normal functions.
• On \(p\)-\(\Lambda\)-bounded variation
• On Λ-bounded variation
• Properties of Functions of Generalized Bounded Variations
• Convergence rate of Fourier-Legendre series of functions of generalized bounded variation

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