On convergence of partial sums of Franklin series to \(+\infty\)

DOI10.3103/S1068362319060049zbMath1439.42040OpenAlexW3000661467MaRDI QIDQ2173209

K. A. Navasardyan, Vazgen Gagik Mikayelyan

Publication date: 22 April 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319060049

zbMATH Keywords

Franklin systemFranklin seriesconvergence to \(+\infty\)

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• Limits of indeterminacy of trigonometric series
• On the convergence of Franklin series to \(+\infty \)
• Uniqueness theorem for multiple Franklin series
• On the uniqueness of series in the Franklin system
• Uniqueness theorems for Franklin series converging to integrable functions
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
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