Research article

On an extended Hardy-Littlewood-Polya’s inequality

  • Received: 27 October 2019 Accepted: 10 January 2020 Published: 03 February 2020
  • MSC : 26D15, 26D10, 26A42

  • By utilization of the weight coefficients, the idea of introducing parameters and Euler-Maclaurin summation formula, an extended Hardy-Littlewood-Polya's inequality and its equivalent form are established. The equivalent statements of the best possible constant factor involving several parameters, and some particular cases are provided. The operator expressions of the obtained results are also considered.

    Citation: Bicheng Yang, Shanhe Wu, Qiang Chen. On an extended Hardy-Littlewood-Polya’s inequality[J]. AIMS Mathematics, 2020, 5(2): 1550-1561. doi: 10.3934/math.2020106

    Related Papers:

  • By utilization of the weight coefficients, the idea of introducing parameters and Euler-Maclaurin summation formula, an extended Hardy-Littlewood-Polya's inequality and its equivalent form are established. The equivalent statements of the best possible constant factor involving several parameters, and some particular cases are provided. The operator expressions of the obtained results are also considered.


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