On an extended Hardy-Littlewood-Polya’s inequality. (English) Zbl 1484.26099
Summary: 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.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
Keywords:
weight coefficient; Hardy-Littlewood-Polya inequality; Euler-Maclaurin summation formula; equivalent statement; parameterReferences:
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