High order Ostrowski type inequalities (Q878991)

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scientific article; zbMATH DE number 5149463
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High order Ostrowski type inequalities
scientific article; zbMATH DE number 5149463

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    High order Ostrowski type inequalities (English)
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    4 May 2007
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    By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
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    Ostrowski type inequality
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    Euler type identity
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    sharp inequality
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    trapezoidal and mid-point rules
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