Lebesgue constants for spherical partial sums

DOI10.1016/0021-9045(75)90012-XzbMath0292.42012OpenAlexW2006838515MaRDI QIDQ1211680

Harold S. Shapiro

Publication date: 1975

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(75)90012-x

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (7)

Growth of 𝐿^{𝑝} Lebesgue constants for convex polyhedra and other regions ⋮ An equivalence theorem concerning multipliers of strong convergence ⋮ BABENKO'S WORK ON SPHERICAL LEBESGUE CONSTANTS ⋮ Fourier-Laplace series on a sphere ⋮ Lebesgue constants of Riesz type means of negative order ⋮ A construction of processes of best approximation ⋮ On the asymptotics of the Bochner-Riesz kernel on compact Lie groups

Cites Work

• Topics in approximation theory
• On the Spherical Convergence of Multiple Fourier Series
• Correction to the Paper "On the Spherical Convergence of Multiple Fourier Series"
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