一类时标上的Opial型不等式
A Kind of Dynamic Opial-Type Inequalities on Time Scales
DOI: 10.12677/AAM.2020.96114, PDF,    科研立项经费支持
作者: 程光一, 李峥嵘, 周 恺*：池州学院大数据与人工智能学院，安徽 池州
关键词: 时标；Opial型不等式；Cauchy-Schwarz不等式；Time Scale； Opial-Type Inequality； Cauchy-Schwarz Inequality
摘要: 本文利用时标上的Cauchy-Schwarz不等式、Keller链式法则等工具，得到了一类时标上的Opial型不等式，推广了连续和离散情形下的相应Opial型不等式。
Abstract: In this paper, by using the tools of Cauchy-Schwarz inequality and Keller’s chain rule on time scale, we obtain a class of Opial type inequality on time scale, and generalize the corresponding Opial type inequality in continuous and discrete cases.
文章引用：程光一, 李峥嵘, 周恺. 一类时标上的Opial型不等式[J]. 应用数学进展, 2020, 9(6): 965-971. https://doi.org/10.12677/AAM.2020.96114

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