Niculescu, Constantin P.; Popovici, Florin The extension of majorization inequalities within the framework of relative convexity. (English) Zbl 1182.26024 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 27, 6 p. (2006). Summary: Some of the basic inequalities in majorization theory (Hardy-Littlewood-Pólya, Tomic-Weyl and Fuchs) are extended to the framework of relative convexity. Cited in 1 ReviewCited in 6 Documents MSC: 26A51 Convexity of real functions in one variable, generalizations 26D15 Inequalities for sums, series and integrals 26D05 Inequalities for trigonometric functions and polynomials Keywords:relative convexity; majorization; Abel summation formula PDFBibTeX XMLCite \textit{C. P. Niculescu} and \textit{F. Popovici}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 27, 6 p. (2006; Zbl 1182.26024) Full Text: EuDML EMIS