An extended product integral, a modified linear integral equation, and functions of bounded \(p\)-variation

DOI10.1007/s10986-015-9285-9zbMath1326.26019OpenAlexW1154683201MaRDI QIDQ746976

Šarūnas Dirmeikis, Rimas Norvaiša

Publication date: 22 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10986-015-9285-9

zbMATH Keywords

linear integral equationHenstock-Kurzweil integral\(p\)-variationproduct integral

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Functions of bounded variation, generalizations (26A45) Linear integral equations (45A05)

Related Items (1)

On Summability, Multipliability, and Integrability

Cites Work

• Unnamed Item
• Differentiability of six operators on nonsmooth functions and \(p\)-variation. With the collaboration of Jinghua Qian
• An inequality of the Hölder type, connected with Stieltjes integration
• Concrete Functional Calculus
• Henstock-Kurzweil and McShane product integration; Descriptive definitions
• A general form of the product integral and linear ordinary differential equations
• Bochner product integration
• The Perron product integral and generalized linear differential equations

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