Journal ArticleDOI
Generalizations of the Logarithmic Mean
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This article is published in Mathematics Magazine.The article was published on 1975-03-01. It has received 336 citations till now. The article focuses on the topics: Logarithmic mean & Stolarsky mean.read more
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Selected Topics on Hermite-Hadamard Inequalities and Applications
TL;DR: The Hermite-Hadamard double inequality for convex functions has been studied extensively in the literature, see as discussed by the authors for a survey of the Hermite Hadamard inequalities.
Journal ArticleDOI
Aggregation functions: Means
TL;DR: This two-part state-of-the-art overview on aggregation theory summarizes the essential information concerning aggregation issues and gives an overview of aggregation properties, including the basic classification on aggregation functions.
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The Power and Generalized Logarithmic Means
TL;DR: The Power and Generalized Logarithmic Means (PGLM) as discussed by the authors is a generalization of the generalized logarithm of the power-and-generalized linear mean.
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Extended Mean Values
E. B. Leach,M. C. Sholander +1 more
TL;DR: In this article, extended mean values are used to define the extended mean value of a set of classes of graphs, i.e., the Extended Mean Value (EMV) of a graph.
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Book
Isoperimetric inequalities in mathematical physics
George Pólya,Gábor Szegő +1 more
TL;DR: Isoperimetric Inequalities in Mathematical Physics (AM-27) as mentioned in this paper is an excellent survey of the literature in this area. But it is not a complete collection.
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Inequalities for a symmetric elliptic integral
Abstract: Inequalities are found for an incomplete elliptic inte- gral of the first kind which represents the reciprocal of the capacity of an ellipsoid with semiaxes x, y, z. One sequence of symmetric algebraic functions of x, y, z converges to the value of the integral from below and two from above. Among the elements of these se- quences are upper and lower approximations due to P61ya and Szego.