On the representation of measurable functions by absolutely convergent orthogonal spline series

DOI10.1134/S0081543822050066OpenAlexW4320912825MaRDI QIDQ2685175

Gegham Gevorkyan

Publication date: 20 February 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822050066

zbMATH Keywords

absolutely convergent seriescorrection of functionsrepresentation of functionsspline of order \(m\)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spline approximation (41A15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• Limits of indeterminacy of trigonometric series
• Convergence to infinity for orthonormal spline series
• On the convergence of Franklin series to \(+\infty \)
• Constructive function theory and spline systems
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
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