Functional equalities and some mean values

DOI10.1006/JMAA.2000.7066zbMath0966.26005OpenAlexW1964970598MaRDI QIDQ1588424

Shoshana Abramovich, Josip E. Pečarić

Publication date: 19 March 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7066

zbMATH Keywords

functional equationsmean values

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Means (26E60)

Related Items (2)

Two new theorems on mappings uniformly continuous and convex with applications to quadrature rules and means ⋮ Some inequalities for mappings whose derivatives are bounded and applications to special means of real numbers.

Cites Work

• New properties of some mean values
• On some further extensions of the characterizations of mean values by H. Haruki and Th. M. Rassias
• Some mean values related to the arithmetic-geometric mean
• A new analogue of Gauss' functional equation
• New characterizations of some mean-values
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