On sharp constants in Marcinkiewicz-Zygmund and Plancherel-Polya inequalities

DOI10.1090/S0002-9939-2014-12270-2zbMath1303.30023OpenAlexW2036654878MaRDI QIDQ3190340

Doron S. Lubinsky

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12270-2

zbMATH Keywords

entire functionsMarcinkiewicz-Zygmund inequalitiesPlancherel-Polya inequalitiesquadrature sums

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Inequalities for trigonometric functions and polynomials (26D05) Special classes of entire functions of one complex variable and growth estimates (30D15) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization, Scaling Limits of Polynomials and Entire Functions of Exponential Type, On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling, On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and Their Airy Function Cousins, Plancherel-Pólya inequality for entire functions of exponential type in \(L^2(\mathbb R)\), On Marcinkiewicz-Zygmund inequalities at Jacobi zeros and their Bessel function cousins

Cites Work

• Marcinkiewicz-Zygmund measures on manifolds
• \(L_p\) Christoffel functions, \(L_p\) universality, and Paley-Wiener spaces
• Fonctions entières et intégrales de Fourier multiples. II
• The Discrete Nature of the Paley-Wiener Spaces
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