engleski

Continuous refinements of some Jensen-type inequalities via strong convexity with applications

In this paper we prove new continuous refinements of some Jensen-type inequalities in both direct and reversed forms. As applications, we also derive some continuous refinements of Hermite- Hadamard-, H\" older- and Popoviciu-type inequalities. As particular cases, we point out the corresponding results for sums and integrals showing that our results contain both several well-known but also some new results for these special cases.

Inequalities ; Jensen ; Hermite-Hadamard ; H\

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