Exact constants in Telyakovskii's two-sided estimate of the sum of a sine series with convex sequence of coefficients

DOI10.1134/S0001434620050314zbMath1442.42005OpenAlexW3046521728MaRDI QIDQ2192171

Alexei P. Solodov

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050314

zbMATH Keywords

sine series with monotone coefficientsconvex sequenceslowly varying sequence

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05) Best constants in approximation theory (41A44)

Related Items (2)

Refinement of estimates of sums of sine series with monotone coefficients and cosine series with convex coefficients ⋮ The meromorphic functions of completely regular growth on the upper half-plane

Cites Work

• Estimates of the sums of sine series with monotone coefficients of certain classes
• On the behavior of sine series with convex coefficients near the origin
• A sharp lower bound for the sum of a sine series with convex coefficients
• Regularly varying functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact constants in Telyakovskii's two-sided estimate of the sum of a sine series with convex sequence of coefficients