On the Kolmogorov inequality for fractional derivatives on the half-line
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Publication:1161886
DOI10.1007/BF02102723zbMath0481.46017OpenAlexW2324194092MaRDI QIDQ1161886
Vladimir M. Tikhomirov, Gregorij G. Magaril-Il'yaev
Publication date: 1981
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02102723
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (12)
On approximation of hypersingular integral operators by bounded ones ⋮ Inequalities of the Kolmogorov type for norms of Riesz derivatives of multivariate functions and some of their applications ⋮ Kolmogorov inequalities for the norms of the Riesz derivatives of functions of many variables ⋮ Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions ⋮ Estimation of the uniform norm of one-dimensional Riesz potential of the partial derivative of a function with bounded Laplacian ⋮ Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications ⋮ Kolmogorov-type inequalities for the norms of fractional derivatives of functions defined on the positive half line ⋮ Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications ⋮ On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces ⋮ Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems ⋮ Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions ⋮ Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line
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