On the approximation of conjugate functions and their derivatives on the segment by partial sums of Fourier-Chebyshev series

MaRDI QIDQ6641462

Unnamed Author, P. G. Patseika, Konstantin Anatol'evich Smotritskiĭ

Publication date: 20 November 2024

Published in: Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika (Search for Journal in Brave)

zbMATH Keywords

conjugate functionLipschitz conditionasymptotic estimationsFourier-Chebyshev seriesuniform estimationssingular integral on segment

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Sur les fonctions harmoniques conjuguées et les séries de Fourier.
• Les fonctions conjuguées et les series de Fourier.
• Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\)
• Estimate of the approximation of periodic functions by Fourier series
• Sur les fonctions conjuguées.
• Sur les séries trigonométriques conjuguées.
• Sur les fonctions conjuguées.
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