Lokesha, V.; Padmanabhan, S.; Nagaraja, K. M.; Zhang, Zhi-Hua Gnan mean and its dual in \(n\) variables. (English) Zbl 1244.26045 Int. J. Pure Appl. Math. 72, No. 1, 1-10 (2011). Summary: We define a weighted Gnan mean and its dual form in \(n\) variables, and prove their monotonicity. Cited in 1 Document MSC: 26D15 Inequalities for sums, series and integrals 26D10 Inequalities involving derivatives and differential and integral operators Keywords:monotonicity; inequality; Gnan mean; dual; weighted PDFBibTeX XMLCite \textit{V. Lokesha} et al., Int. J. Pure Appl. Math. 72, No. 1, 1--10 (2011; Zbl 1244.26045) Full Text: Link