具有尖锐常数的加权hardy不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190266

A. Kalybay, R. Oinarov

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引用次数: 3

摘要

本文建立了具有周期权的加权离散和积分Hardy不等式的有效性，并找到了这些不等式的最佳可能常数。此外，将所建立的离散Hardy不等式应用于某二阶差分方程，讨论了振动和非振动的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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WEIGHTED HARDY INEQUALITIES WITH SHARP CONSTANTS

In the paper, we establish the validity of the weighted discrete and integral Hardy inequalities with periodic weights and find the best possible constants in these inequalities. In addition, by applying the established discrete Hardy inequality to a certain second–order difference equation, we discuss some oscillation and nonoscillation results.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).