Some Hermite-Hadamard type inequalities for functions of generalized convex derivative (Q2064779)
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scientific article; zbMATH DE number 7452904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some Hermite-Hadamard type inequalities for functions of generalized convex derivative |
scientific article; zbMATH DE number 7452904 |
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Some Hermite-Hadamard type inequalities for functions of generalized convex derivative (English)
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6 January 2022
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The classical Hermite-Hadamard inequalities are concerned with convex functions in the classical sense. Inequalities of this kind are also known for \(s\)-convex and \(h\)-convex functions. This paper contains new inequalities of Hermite-Hadamard type involving functions that have convex or generalized convex derivatives. Other inequalities are proved for functions whose second derivatives in absolute values are convex. Applications of the main results are presented.
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convex function
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\(s\)-convex function
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\(h\)-convex function
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Hermite-Hadamard inequality
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