Estimates of mixed moduli of smoothness in metrics of \(L_q\) through mixed moduli of smoothness in metrics of \(L_1\)

DOI10.3103/S002713221802002XzbMath1406.46027OpenAlexW2802272654WikidataQ129905943 ScholiaQ129905943MaRDI QIDQ1795420

B. V. Simonov, Mikhail K. Potapov

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.3103/s002713221802002x

zbMATH Keywords

mixed fractional moduli of smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) 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 \(L_{p_1p_2}\) ⋮ Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics

Cites Work

• Embedding theorems in constructive approximation
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
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