Relations between moduli of smoothness in different metrics

DOI10.3103/S0027132209030036zbMath1304.41010OpenAlexW2093900978MaRDI QIDQ2513071

B. V. Simonov, Sergey Yu. Tikhonov, Mikhail K. Potapov

Publication date: 2 February 2015

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

Full work available at URL: https://doi.org/10.3103/s0027132209030036

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

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 ⋮ Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes ⋮ Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \) ⋮ Improvement of relations between moduli of smoothness ⋮ Mixed moduli of smoothness in mixed metrics ⋮ Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\) ⋮ Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics ⋮ Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics

Cites Work

• Unnamed Item
• On relations between moduli of continuity in different metrics
• On the interrelation of the generalized Besov-Nikols'kiǐ and Weyl-Nikols'kiǐ classes of functions
• An inequality of P. L. Ul’yanov

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