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New inequalities for strongly \(r\)-convex functions. (English) Zbl 1419.46045

The new concept of strongly \(r\)-convex functions is introduced and investigated. Hermite-Hadamard-type inequalities for such functions and some integral inequalities under additional assumptions of \(n\)-times differentiability are thus obtained, extending previous results from the literature.

MSC:

46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
26D10 Inequalities involving derivatives and differential and integral operators
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