Direct and converse results in the \(Ba\) space for Jackson-Matsuoka polynomials on the unit sphere

DOI10.1186/1029-242X-2014-419zbMath1310.41011OpenAlexW2170420758WikidataQ59324557 ScholiaQ59324557MaRDI QIDQ2262879

Guo Feng, Yuan Feng

Publication date: 16 March 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-419

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessspherical means\(Ba\) spaceJackson-Matsuoka polynomials

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• Multivariate approximating averages.
• Averages on caps of \(S^{d-1}\)
• On the approximation of functions by some singular integrals
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten

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