Kolmogorov inequalities for the norms of the Riesz derivatives of functions of many variables

DOI10.1007/s10958-018-3663-xzbMath1384.26045OpenAlexW2782019383MaRDI QIDQ1707181

Nataliia Viktorivna Parfinovych

Publication date: 28 March 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3663-x

zbMATH Keywords

fractional derivativeapproximation of operatorsKolmogorov-type inequalities

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications
• An inequality of Landau type for functions of several variables
• On the Kolmogorov inequality for fractional derivatives on the half-line
• Exact inequalities between the norms of second and third order derivatives
• Norm inequalities for derivatives and differences
• Best approximation of unbounded operators by bounded ones
• Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions
• Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic
• Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions
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