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- W4226242502 abstract "In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and H$ddot{o}$lder-McCarthy inequality. Many of the other inequalities can be refined by applying this new notion." @default.
- W4226242502 created "2022-05-05" @default.
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- W4226242502 date "2022-01-15" @default.
- W4226242502 modified "2023-09-27" @default.
- W4226242502 title "Conditional $h$-convexity with applications" @default.
- W4226242502 doi "https://doi.org/10.48550/arxiv.2201.07217" @default.
- W4226242502 hasPublicationYear "2022" @default.
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