Determination of jumps in terms of linear operators

DOI10.1007/S11253-016-1195-4zbMath1388.42011OpenAlexW2461624964MaRDI QIDQ2412908

Yanyan Li

Publication date: 6 April 2018

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

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165922

zbMATH Keywords

generalized Cesàro meansrectangular partial sumsdouble conjugate trigonometric Fourier series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

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• Inverse problems in Fourier analysis and summability theory
• More on determination of jumps
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• Determination of jumps in terms of Abel-Poisson means
• An analogue of a theorem of Ferenc Lukács for double Walsh-Fourier series
• On some properties of double conjugate trigonometric Fourier series
• On the convergence of generalized Cesáro means of trigonometric Fourier series. I
• On the convergence of generalized Cesáro means of trigonometric Fourier series. II
• On determination of jumps in terms of Abel-Poisson mean of Fourier series
• Determination of jumps in terms of spectral data
• On some properties of conjugate trigonometric Fourier series
• Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series
• CONVERGENCE OF SOME TRIGONOMETRIC SUMS
• Extension of a theorem of Ferenc Lukács from single to double conjugate series

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