Ulyanov-type inequalities and generalized Liouville derivatives

DOI10.1017/S0308210509001048zbMath1213.26010OpenAlexW2121971381MaRDI QIDQ3082525

Walter Trebels, Sergey Yu. Tikhonov

Publication date: 10 March 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210509001048

zbMATH Keywords

modulus of smoothnessfractional derivativegeneralized Liouville derivativeUlyanov-type inequality

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fractional derivatives and integrals (26A33)

Related Items (9)

Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics ⋮ Interrelations between partial moduli of smoothness in various mixed metrics ⋮ Liouville-weyl derivatives, best approximations, and moduli of smoothness ⋮ Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \) ⋮ Improvement of relations between moduli of smoothness ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\) ⋮ Sharp Ul'yanov inequalities for generalized Liouville-Weyl derivatives ⋮ Analogues of Ulyanov Inequalities for Mixed Moduli of Smoothness

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