Maligranda, L.; Pečarić, J. E.; Persson, L. E. Weighted Favard and Berwald inequalities. (English) Zbl 0834.26012 J. Math. Anal. Appl. 190, No. 1, 248-262 (1995). Generalizations of inequalities by J. Favard [Bull. Sci. Math., II. Ser. 57, 54-64 (1933; Zbl 0007.06104)] and L. Berwald [Acta Math. 79, 17-37 (1947; Zbl 0029.11704)] and related inequalities are offered for the case with weight functions in the integrals compared. The statements and proofs are highly technical. Reviewer: J.Aczél (Waterloo/Ontario) Cited in 1 ReviewCited in 16 Documents MSC: 26D15 Inequalities for sums, series and integrals 26A51 Convexity of real functions in one variable, generalizations Keywords:convex functions; monotone functions; inequalities for weighted integrals Citations:Zbl 0007.06104; Zbl 0029.11704 PDFBibTeX XMLCite \textit{L. Maligranda} et al., J. Math. Anal. Appl. 190, No. 1, 248--262 (1995; Zbl 0834.26012) Full Text: DOI Link