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Further Development of Qi-Type Integral Inequality

机译:Qi型积分不等式的进一步发展

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摘要

We give some further answers to the open problem posed in the article [Feng Qi, Several integral inequalities, J. Inequal. Pure and Appl. Math., 1(2) (2000), Art. 19.] Being Qi's inequality of moment type, we consider the moments of uniformly distributed random variables and construct certain suitable probability measures to solve the posed problem. Moreover, reverse inequality to Qi's and other related results are deduced as well.
机译:我们对文章[Feng Qi,几个积分不等式,J。不等式,J。Inequal。纯和应用。数学,1(2)(2000),Art。 19.]由于齐的矩型的不等式,我们考虑了均匀分布的随机变量的矩,并构造了一些合适的概率测度来解决所提出的问题。此外,还推导了对齐氏的反向不等式和其他相关结果。

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