Conditions for the existence of Stieltjes integral of functions of bounded generalized variation

DOI10.1007/BF02074614zbMath0695.42011OpenAlexW363552930MaRDI QIDQ909927

A. M. D'yachkov

Publication date: 1988

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02074614

zbMATH Keywords

Parseval identityStieltjes integralFourier coefficientsHölder-type inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

Related Items (4)

Estimates for norms of discrete stochastic integrals ⋮ A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Loéve-Young inequality ⋮ Rough functions: \(p\)-variation, calculus, and index estimation ⋮ A new inequality for the Riemann-Stieltjes integrals driven by irregular signals in Banach spaces

Cites Work

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• An inequality of the Hölder type, connected with Stieltjes integration
• The Brauer-Manin Obstruction and III[2]
• On generalized variations (I)
• Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen
• On generalized variations (II)

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