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Inequalities for a Multiple Integral

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Abstract

Using Taylor's formula for functions of several variables, the author establishes inequalities for the integral of a function defined on an m-dimensional rectangle, if the partial derivatives remain between bounds. Hence Iyengar's inequality and related resullts in the references could be deduced.

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Authors and Affiliations

  1. Department of Mathematics, Jiaozuo Institute of Technology, 454000, Jiaozuo City, Henan, People Republic of China

    Feng Qi

  2. Department of Mathematics, University of Science and Technology of China, 230026, Hefei City, Anhui, People Republic of China

    Feng Qi

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  1. Feng Qi
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Qi, F. Inequalities for a Multiple Integral. Acta Mathematica Hungarica 84, 19–26 (1999). https://doi.org/10.1023/A:1006642601341

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  • DOI: https://doi.org/10.1023/A:1006642601341

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