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Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives - MaRDI portal

Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives (Q1983425)

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scientific article; zbMATH DE number 7393950
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Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives
scientific article; zbMATH DE number 7393950

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    Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives (English)
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    10 September 2021
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    Summary: In this paper, we present two versions of the Hadamard inequality for \((\alpha, m)\) convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and \(m\)-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.
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