一些反向Hölder不平等与斯佩克特比率在时间尺度上

The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-10 DOI:10.22436/JNSA.011.04.01

A. El-Deeb, H. A. Elsennary, W. Cheung

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引用次数: 24

摘要

本文利用diamond-α动态积分，研究了任意时间尺度上的一些新的反向Hölder-type不等式。diamond-α动态积分被定义为delta积分和nabla积分的线性组合。这些不等式在时间尺度上扩展了一些已知的动态不等式，统一和扩展了一些连续不等式及其相应的离散类似物。

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Some reverse Hölder inequalities with Specht's ratio on time scales

In this article, we investigate some new reverse Hölder-type inequalities on an arbitrary time scale via the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals. These inequalities extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues.

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来源期刊

The Journal of Nonlinear Sciences and Applications

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