经典不等式与动态不等式在时间尺度上合并的类比

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/rf.2020.10

Muhammad Jibril Shahab Sahir

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引用次数: 2

摘要

本文给出了Radon不等式和Nesbitt不等式在时间尺度上的类比。此外，我们还发现了一些经典不等式的改进，如Bergström不等式、加权幂平均不等式、Cauchy-Schwarz不等式和Hölder不等式。我们的研究统一和推广了一些连续不等式及其相应的离散类似不等式。AMS学科分类:26D15、26D20、34N05。

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Analogy of Classical and Dynamic Inequalities Merging on Time Scales

In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s inequality and Hölder’s inequality. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. AMS Subject Classification: 26D15, 26D20, 34N05.

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Journal of Mathematics and Applications

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