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On a Reverse Hardy-Littlewood-Polya’s Inequality
Bicheng Yang,Yanru Zhong
Keywords:weight coefficient; Hardy-Littlewood-Polya’s inequality; Euler-Maclaurin summation formula; equivalent statement; parameter
Abstract:
      By the use of the weight coefficients, the idea of introduced parameters and Euler-Maclaurin summation formula, a reverse Hardy-Littlewood-Polya’s inequality with parameters as well as the equivalent forms are provided. The equivalent statements of the best possible constant factor related to a few parameters and some particular cases are given.