Sharp inequalities for the norms of conjugate functions and their applications

DOI10.1007/BF01057488zbMath0638.42012OpenAlexW2006029383MaRDI QIDQ1099354

Vladislav F. Babenko

Publication date: 1987

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057488

zbMATH Keywords

conjugate functionKolmogorov inequalityexact inequalities of Kolmogorov typeperiodic polynomial splines

Mathematics Subject Classification ID

Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (2)

Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation

Cites Work

• Upper bounds for the best onesided approximation by splines of the classes \(W^rL^1\)
• The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable
• A new proof and a generalization of an inequality of Bohr
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