On the Gauss-Weierstrass summability of multiple trigonometric series at \(\mu\)-smoothness points

DOI10.1007/S10114-011-9399-XzbMath1226.42004OpenAlexW2031409571MaRDI QIDQ546307

Sinem Sezer, Ilham A. Aliev

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9399-x

zbMATH Keywords

Fourier transformsmodulus of continuitymultiple Fourier series\(\mu\)-smoothness pointsGauss-Weierstrass summability

Mathematics Subject Classification ID

Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24) Special methods of summability (40G99)

Related Items (6)

The rate of convergence of truncated hypersingular integrals generated by the Poisson and metaharmonic semigroups ⋮ On the convergence of the Abel-Poisson means of multiple Fourier series ⋮ On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup ⋮ On the non-tangential convergence of Poisson and modified Poisson semigroups at the smoothness points of \(L_p\)-functions ⋮ On degree of approximation of the Gauss-Weierstrass means for smooth \(L^p(\mathbb R^n)\) functions ⋮ The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup

Cites Work

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• ON THE SUMMABILITY METHOD OF ABEL-POISSON TYPE FOR MULTIPLE FOURIER INTEGRALS
• ON THE RATE OF CONVERGENCE OF INTEGRALS OF GAUSS-WEIERSTRASS TYPE FOR FUNCTIONS OF SEVERAL VARIABLES
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Summation of formal Fourier series by methods of Gauss-Weierstrass type

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