Exact order of the Lebesgue constants of hyperbolic partial sums of multiple Fourier series

DOI10.1007/BF01156675zbMath0607.42013OpenAlexW2048748740MaRDI QIDQ1085374

Elijah Liflyand

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01156675

zbMATH Keywords

functions having bounded mixed derivativehyperbolic partial sums of continuous periodic functions of several variables

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Fourier series and coefficients in several variables (42B05) Approximation by other special function classes (41A30)

Related Items (3)

Hyperbolic Lebesgue constants in dimension two ⋮ Anisotropic norms of Dirichlet kernels and some other trigonometric polynomials ⋮ Behavior of the Lebesgue constants of hyperbolic partial sums

Cites Work

• Discrete imbedding theorems and Lebesgue constants
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exact order of the Lebesgue constants of hyperbolic partial sums of multiple Fourier series