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A class of new three-parameter generalized weighted means. (English) Zbl 1155.26311

A class of new three-parameter generalized weighted mean in \(n\) variables is defined. Some elementary properties are listed. Using the generalized Vandermonde determinant, an explicit form of this mean is given.

MSC:

26D15 Inequalities for sums, series and integrals
26B25 Convexity of real functions of several variables, generalizations
26E60 Means
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