Zhejiang Daxue xuebao. Lixue ban (Jul 2022)

On the construction of a class of half-discrete Hilbert-type inequalities(一类半离散Hilbert型不等式的构造)

YOUMinghui(有名辉)

Affiliations

YOUMinghui(有名辉): ORCiD; Mathematics Teaching and Research Section, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, China(浙江机电职业技术学院　数学教研室，浙江　杭州　310053)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2022.04.005
Journal volume & issue: Vol. 49, no. 4
pp. 422 – 426

Abstract

通过定义若干参量，构造了包含齐次及非齐次2种形态的半离散型核函数。借助正切函数的无穷级数表示和分析学方法，建立了用余切函数表示常数因子的半离散Hilbert型不等式，且证明了为最佳常数因子。通过对参量赋值，建立了特殊的齐次及非齐次Hilbert型不等式。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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