Generalized Steffensen type inequalities involving convex functions (Q403246)

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scientific article; zbMATH DE number 6335895
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Generalized Steffensen type inequalities involving convex functions
scientific article; zbMATH DE number 6335895

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    Generalized Steffensen type inequalities involving convex functions (English)
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    29 August 2014
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    Summary: Generalized Steffensen type inequalities related to the class of functions that are ``convex at point \(c\)'' are derived and as a consequence inequalities involving the class of convex functions are obtained. Moreover, linear functionals from the difference of the right- and left-hand side of the obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.
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    Steffensen type inequalities
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    convex functions
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    exponentially convex functions
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