Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski’s formula and an application to Universal Taylor series

DOI10.1090/S0002-9939-99-05150-3zbMath0922.30002OpenAlexW1665259699MaRDI QIDQ4243682

Emmanuel S. Katsoprinakis, Michael Papadimitrakis

Publication date: 19 May 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05150-3

zbMATH Keywords

Cesàro summabilityuniversal Taylor seriesRogosinski formula

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Summability and absolute summability of Fourier and trigonometric series (42A24) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (9)

Universal families and hypercyclic operators ⋮ Universal Taylor series in simply connected domains ⋮ Universality and Cesàro summability ⋮ Determination of a universal series ⋮ On the growth of universal functions ⋮ Universality of Taylor series as a generic property of holomorphic functions ⋮ Universal Taylor series without Baire and the influence of J.-P. Kahane ⋮ Universality and summability of Dirichlet series ⋮ Universal Taylor series on arbitrary planar domains

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