Interrelations between full moduli of smoothness in the metrics of \(L_1\) and \(L_\infty\)

DOI10.3103/S0027132216010034zbMath1347.41017MaRDI QIDQ297657

B. V. Simonov, Mikhail K. Potapov

Publication date: 17 June 2016

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

zbMATH Keywords

modulus of smoothnessuniform metric

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Related Items

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

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• Inequalities for moduli of smoothness versus embeddings of function spaces
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• An inequality of P. L. Ul’yanov
• Embedding theorems in constructive approximation
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• DIFFERENCE PROPERTIES OF FUNCTIONS OF SEVERAL VARIABLES
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS

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