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• W2946322567 abstract "Considering the weighted concept of majorization, Sherman obtained generalization of majorization inequality for convex functions known as Sherman's inequality. We extend Sherman's result to the class of n-strongly convex functions using extended idea of convexity to the class of strongly convex functions. We also obtaine upper bound for Sherman's inequality, so called the converse Sherman inequality, and as easy consequences we get Jensen's as well as majorization inequality and their conversions for strongly convex functions. Obtained results are stronger versions for analogous results for convex functions. As applications, we introduced a generalized concept of f-divergence and derived some reverse relations for such concept." @default.
• W2946322567 created "2019-05-29" @default.
• W2946322567 creator A5030138957 @default.
• W2946322567 date "2019-05-16" @default.
• W2946322567 modified "2023-10-16" @default.
• W2946322567 title "Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences" @default.
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• W2946322567 hasPublicationYear "2019" @default.
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