ON AN EXTENDED HARDY-HILBERT'S INEQUALITY IN THE WHOLE PLANE

Bicheng Yang; Meifa Huang; Yanru Zhong

doi:10.11948/20180160

2019 Volume 9 Issue 6

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Bicheng Yang, Meifa Huang, Yanru Zhong. ON AN EXTENDED HARDY-HILBERT'S INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2124-2136. doi: 10.11948/20180160

Citation:

Bicheng Yang, Meifa Huang, Yanru Zhong. ON AN EXTENDED HARDY-HILBERT'S INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2124-2136. doi: 10.11948/20180160

ON AN EXTENDED HARDY-HILBERT'S INEQUALITY IN THE WHOLE PLANE

1.
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, China
2.
School of Mechanical Science and Electrical Engineering, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
3.
School of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China

Corresponding author: Email address: rosezhong@guet.edu.cn(Y. Zhong)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 61562016 and 51765012) and Science and Technology Planning Project Item of Guangzhou City (No. 201707010229)

Abstract

Abstract

By means of weight coefficients, a complex integral formula and Hermite-Hadamardos inequality, a new extended Hardy-Hilbertos inequality in the whole plane with multi-parameters and a best possible constant factor is given. The equivalent forms, the operator expressions and a few particular cases are considered.
- Hardy-Hilbertos inequality /
- Hermite-Hadamardos inequality /
- weight coefficient /
- equivalent form /
- operator expression
MSC: 26D15, 47A05

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References

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