Functional equations and the Cauchy mean value theorem

DOI10.1007/S00010-015-0395-6zbMath1361.39011arXiv1508.00329OpenAlexW2962785134WikidataQ59478108 ScholiaQ59478108MaRDI QIDQ304010

Orif O. Ibrogimov, Boris S. Mityagin, Zoltán M. Balogh

Publication date: 23 August 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00329

zbMATH Keywords

functional equationsCauchy mean value theorem

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Means (26E60)

Related Items (4)

Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ A note on functional equations connected with the Cauchy mean value theorem ⋮ On a functional equation related to two-variable Cauchy means ⋮ On a new class of functional equations satisfied by polynomial functions

Cites Work

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• On the equality of quasi-arithmetic and Lagrangian means
• Rudin's problem on groups and a generalization of mean value theorem
• Taylor's theorem and functional equations
• Generalized Cauchy difference equations. II
• A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives
• A Property of Quadratic Polynomials
• General and alien solutions of a functional equation and of a functional inequality

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