Embeddings of Generalized Bounded Variation Function Spaces into Spaces of Functions with Given Majorant of Average Modulus of Continuity

DOI10.18500/1816-9791-2017-17-3-255-266zbMath1395.46031OpenAlexW2761938441MaRDI QIDQ5374399

Arseniĭ Evgen'Evich Vezhlev, Sergey S. Volosivets

Publication date: 10 April 2018

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu721

zbMATH Keywords

embeddingsmodulus of variationquadrature rulesspaces of functions of generalized bounded variation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

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• Inclusion of \(\varLambda BV^{(p)}\) spaces in the classes \(H_\omega^q\)
• Über die absolute Konvergenz von Fourierreihen
• Continuity moduli of functions from Waterman classes
• Estimates ofL^p-continuity modulus of ΛBV functions and applications in Fourier series
• On the summability of Fourier series of functions of Λ-bounded variation
• On convergence of Fourier series of functions of generalized bounded variation

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