Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions

DOI10.15421/242007zbMath1483.26019OpenAlexW3118634836MaRDI QIDQ5014428

V. V. Pylypenko, Nataliia Viktorivna Parfinovych

Publication date: 2 December 2021

Published in: Researches in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15421/242007

zbMATH Keywords

normmodulus of continuityKolmogorov inequalityfractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• On the Kolmogorov inequality for fractional derivatives on the half-line
• Inequalities for derivatives in the multidimensional case
• Precise inequalities for norms of functions, third partial, second mixed, or directional derivatives
• 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
• Best approximation of linear operators
• Approximation of unbounded operators by bounded operators and related extremal problems
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