A MORE ACCURATE MULTIDIMENSIONAL HARDY-HILBERT'S INEQUALITY

Bicheng Yang

doi:10.11948/2018.558

2018 Volume 8 Issue 2

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Bicheng Yang. A MORE ACCURATE MULTIDIMENSIONAL HARDY-HILBERT'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 558-572. doi: 10.11948/2018.558

Citation:

Bicheng Yang. A MORE ACCURATE MULTIDIMENSIONAL HARDY-HILBERT'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 558-572. doi: 10.11948/2018.558

A MORE ACCURATE MULTIDIMENSIONAL HARDY-HILBERT'S INEQUALITY

Bicheng Yang

Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China

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Abstract

Abstract

In this paper, by the use of the weight coefficients, the transfer formula, Hermite-Hadamard's inequality and the technique of real analysis, a more accurate multidimensional Hardy-Hilbert's inequality with multiparameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent forms and the operator expressions are considered.
- Hardy-Hilbert's inequality /
- weight coefficient /
- Hermite-Hadamard's inequality /
- equivalent form /
- operator
MSC: 26D15;47A05

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References

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