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Classical inequalities for pseudo-integral - MaRDI portal

Classical inequalities for pseudo-integral (Q2671465)

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Classical inequalities for pseudo-integral
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    Classical inequalities for pseudo-integral (English)
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    3 June 2022
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    Several classical inequalities for a pseudo-integral (g-integral) are derived using an established \(g\)-Young inequality. These inequalities include the ones due to Young, Hölder, Minkowski and Hermite-Hadamard. Further, a \(g\)-analogue of a geometric-logarithmic-arithmetic inequality in the context of the \(g\)-integral is obtained.
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    \(g\)-integral
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    Hölder inequality
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    Minkowski inequality
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    Young inequality
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    Hermite-Madamard inequality
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