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The extension of majorization inequalities within the framework of relative convexity. (English) Zbl 1182.26024

Summary: Some of the basic inequalities in majorization theory (Hardy-Littlewood-Pólya, Tomic-Weyl and Fuchs) are extended to the framework of relative convexity.

MSC:

26A51 Convexity of real functions in one variable, generalizations
26D15 Inequalities for sums, series and integrals
26D05 Inequalities for trigonometric functions and polynomials
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