On generalization of two theorems pertaining to integrability of cosine and sine trigonometric series

DOI10.1285/i15900932v40n1p45zbMath1453.42003OpenAlexW3185309448MaRDI QIDQ5139640

Xhevat Z. Krasniqi

Publication date: 9 December 2020

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/22845

zbMATH Keywords

integrabilityFourier seriesquasi-convexitySidon's class

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• Some new results on absolute Riesz summability of infinite series and Fourier series
• An application of quasi-monotone sequences to infinite series and Fourier series
• Concerning a sufficient condition of Sidon for the integrability of trigonometric series
• On absolute summability of factored infinite series and trigonometric Fourier series
• An extension of the Sidon-Fomin type inequality and its applications
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
• The Extension of the Theorems of C. V. Stanojevic and V. B. Stanojevic
• Hinreichende Bedingungen fur den Fourier-Charakter Einer Trigonometrischen Reihe*
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