ON A REVERSE HARDY-LITTLEWOOD-P$ \acute{O} $LYA'S INEQUALITY

Bicheng Yang; Yanru Zhong

doi:10.11948/20190383

2020 Volume 10 Issue 5

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Bicheng Yang, Yanru Zhong. ON A REVERSE HARDY-LITTLEWOOD-P$ \acute{O} $LYA'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 2220-2232. doi: 10.11948/20190383

Citation:

Bicheng Yang, Yanru Zhong. ON A REVERSE HARDY-LITTLEWOOD-P$ \acute{O} $LYA'S INEQUALITY[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 2220-2232. doi: 10.11948/20190383

ON A REVERSE HARDY-LITTLEWOOD-P$ \acute{O} $LYA'S INEQUALITY

Bicheng Yang¹,
Yanru Zhong^2, ,

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

Corresponding author: Yanru Zhong. Email address: 18577399236@163.com(Y. Zhong)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 61562016, 51765012, 61772140) and Science and Technology Planning Project Item of Guangzhou City (201707010229)

Abstract

Abstract

By the use of the weight coefficients, the idea of introduced parameters and Euler-Maclaurin summation formula, a reverse Hardy-Littlewood-P$ \acute{o} $lya'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.
- Weight coefficient /
- Hardy-Littlewood-Po′lya's inequality /
- EulerMaclaurin summation formula /
- equivalent statement /
- parameter
MSC: 26D15, 47A05

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