On degree of approximation of the Gauss-Weierstrass means for smooth \(L^p(\mathbb R^n)\) functions

DOI10.1186/1029-242X-2013-428zbMath1293.41007WikidataQ59298834 ScholiaQ59298834MaRDI QIDQ2017027

Melih Eryigit

Publication date: 25 June 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

maximal functionapproximationinverse Fourier transformGauss-Weierstrass meansGauss-Weierstrass integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Rate of convergence, degree of approximation (41A25) Summability in several variables (42B08)

Cites Work

• On the Gauss-Weierstrass summability of multiple trigonometric series at \(\mu\)-smoothness points
• Restricted summability of Fourier transforms and local Hardy spaces
• 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

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