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Hermite-Hadamard and Simpson type inequalities for differentiable \(P\)-GA-functions - MaRDI portal

Hermite-Hadamard and Simpson type inequalities for differentiable \(P\)-GA-functions (Q1637815)

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scientific article; zbMATH DE number 6883037
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English
Hermite-Hadamard and Simpson type inequalities for differentiable \(P\)-GA-functions
scientific article; zbMATH DE number 6883037

    Statements

    Hermite-Hadamard and Simpson type inequalities for differentiable \(P\)-GA-functions (English)
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    11 June 2018
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    Summary: The author introduces the concept of the \(P\)-GA-functions, gives Hermite-Hadamard's inequalities for \(P\)-GA-functions, and defines a new identity. By using this identity, the author obtains new estimates on generalization of Hadamard and Simpson type inequalities \(P\)-GA-functions. Some applications to special means of real numbers are also given.
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    \(P\)-geometric-arithmetic function
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    Hermite-Hadamard inequalities
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    Simpson-type inequalities
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