Kolyada inequality between mixed moduli of smoothness in metrics \(L_p\) and \(L_{\infty} \)

DOI10.3103/S0027132222040064zbMath1504.42002MaRDI QIDQ2104399

B. V. Simonov, Mikhail K. Potapov

Publication date: 7 December 2022

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

zbMATH Keywords

inequalitymetricsmixed fractional moduli of smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Fractional derivatives and integrals (26A33) Best approximation, Chebyshev systems (41A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Connection between moduli of smoothness in the metrics of \(L_p\) and \(C\)
• On relations between moduli of continuity in different metrics
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