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On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions - MaRDI portal

On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions (Q1925390)

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scientific article; zbMATH DE number 6116417
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On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions
scientific article; zbMATH DE number 6116417

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    On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions (English)
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    18 December 2012
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    Summary: We introduce the concept of the \(s\)-geometrically convex functions. By the well-known Hölder inequality, we establish some integral inequalities of Hermite-Hadamard type related to the \(s\)-geometrically convex functions and apply these inequalities to special means.
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    \(s\)-geometrically convex functions
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    Hölder inequality
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    integral inequalities of Hermite-Hadamard type
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