Estimates of the Lebesgue function of Fourier sums in trigonometric polynomials orthogonal with a weight not belonging to the spaces \(L^{r}(r > 1)\)

DOI10.1134/S0081543812050045zbMath1298.42001MaRDI QIDQ742269

V. M. Badkov

Publication date: 18 September 2014

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

zbMATH Keywords

trigonometric polynomialsLebesgue functionFourier sumsperiodic weight

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Unnamed Item
• Estimates of Lebesgue functions and remainders of Fourier-Jacobi series
• Pointwise estimates from below of the moduli of the derivatives of orthogonal polynomials on the circle with a weight having singularities
• Regularly varying functions

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