Integral inequalities involving strongly convex functions (Q725176)
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scientific article; zbMATH DE number 6912077
| Language | Label | Description | Also known as |
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| English | Integral inequalities involving strongly convex functions |
scientific article; zbMATH DE number 6912077 |
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Integral inequalities involving strongly convex functions (English)
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1 August 2018
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Summary: We study the notions of strongly convex function as well as \(F\)-strongly convex function. We present here some new integral inequalities of Jensen's type for these classes of functions. A refinement of companion inequality to Jensen's inequality established by Matić and Pečarić is shown to be recaptured as a particular instance. Counterpart of the integral Jensen inequality for strongly convex functions is also presented. Furthermore, we present integral Jensen-Steffensen and Slater's inequality for strongly convex functions.
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