Aggregation is the process of combining several numerical values into a single
representative value, and an aggregation function performs this operation. These functions …

Abstract The Hermite-Hadamard double inequality is the first fundamental result for convex
functions defined on a interval of real numbers with a natural geometrical interpretation and …

This two-part state-of-the-art overview on aggregation theory summarizes the essential
information concerning aggregation issues. An overview of aggregation properties is given …

This book takes a comprehensive look at mean value theorems and their connection with
functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it …

Adding new results that have appeared in the last 15 years, this second edition provides an
easy way for researchers to locate an inequality by name or subject. This edition offers an up …

On certain inequalities for means, III Page 1 On certain inequalities for means, III By J. SAÂ
NDOR Abstract. A sequential method is applied to obtain inequalities between a mean …

We prove that the double inequalities I α 1 (a, b) Q 1-α 1 (a, b)< M (a, b)< I β 1 (a, b) Q 1-β 1
(a, b), I α 2 (a, b) C 1-α 2 (a, b)< M (a, b)< I β 2 (a, b) C 1-β 2 (a, b) hold for all a, b> 0 with a≠ …

Bounds of the Neuman‐Sándor Mean Using Power and Identric Means - Chu - 2013 - Abstract
and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article Information …

In this paper, we obtain a new class of functions, which is developed via the Hermite–
Hadamard inequality for convex functions. The well-known one-one correspondence …

For p∈ R the power mean Mp (a, b) of order p, the logarithmic mean L (a, b) and the
arithmetic mean A (a, b) of two positive real values a and b are defined by and A (a, b)= a+ …