Properties of the mixed modulus of smoothness of positive order in a mixed metric

DOI10.3103/S0027132214060059zbMath1328.46026OpenAlexW2069617777MaRDI QIDQ2356498

B. V. Simonov, Mikhail K. Potapov

Publication date: 30 July 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132214060059

zbMATH Keywords

mixed modulus of smoothness

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Continuity and differentiation questions (26B05)

Related Items (6)

Interrelations between full moduli of smoothness in the metrics of \(L_1\) and \(L_\infty\) ⋮ Constructive characteristics of full module of smoothness in mixed metric ⋮ Mixed generalized modulus of smoothness and approximation by the ``angle of trigonometric polynomials ⋮ Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics ⋮ Strengthened Ul'yanov's inequality for complete moduli of smoothness of functions from spaces with mixed metrics ⋮ Estimates of partial moduli of smoothness in metrics of \(L_{p_1 \infty }\) and \(L_{ \infty p_2}\) through partial moduli of smoothness in metrics of \(L_{p_1p_2}\)

Cites Work

• Embedding theorems in constructive approximation
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