Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences

DOI10.1134/S0001434623030161OpenAlexW4365812571WikidataQ122473442 ScholiaQ122473442MaRDI QIDQ2699783

K. A. Oganesyan, M. I. D'yachenko

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434623030161

zbMATH Keywords

Fourier seriesHardy-Littlewood theoremgeneralized monotone sequences

Mathematics Subject Classification ID

Real functions (26-XX) Combinatorics (05-XX) Sequences, series, summability (40-XX)

Cites Work

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• On the positivity of average sums of sine series with monotone coefficients
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
• Some theorems on orthogonal functions (1)
• On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
• Hardy–Littlewood theorems for trigonometric series with general monotone coefficients

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