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math.FA2022
Mond and Peari inequality for -convex functions with applications
Ismail Nikoufar, Davuod Saeedi
In this paper, we prove an operator version of the Jensen's inequality and its converse for -convex functions. We provide a refinement of the Jensen type inequality for -conv…
math.FA2022
Conditional -convexity with applications
Ismail Nikoufar, Davuod Saeedi
In this paper, we introduce the notion of conditional -convex functions and we prove an operator version of the Jensen inequality for conditional -convex functions. Using thi…