关于Holder型不等式的新的积分结果

Q4 Mathematics

Mathematica Pub Date : 2019-06-30 DOI:10.24193/MATHCLUJ.2019.1.02

Abdelkader Benzidane, H. Yaldiz, Z. Dahmani

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引用次数: 0

摘要

本文利用分数阶积分，给出了与Holder不等式相关的新的分数阶积分不等式。我们推广了p, q积分中Holder不等式的一个Wu的锐度。然后，作为应用，我们提出了另一种方法来推导Z. Dahmani在2012年《普通数学》中已经建立的Holder不等式。日报》。此外，对于我们的结果，经典的Holder不等式作为一个特例被推导出来。2010年MSC。26d15, 26a33, 60e15。

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New integral results on Holder type inequalities

In this paper, using fractional integration, we present new fractional integral inequalities related to Holder inequality. We generalise a Wu’s sharpness of Holder inequality for p, q integration. Then, as an application, we propose another way to derive the Holder inequality which is already established by Z. Dahmani on 2012 in General Math. Journal. Also, for our results, the classical Holder inequality is deduced as a special case. MSC 2010. 26D15, 26A33, 60E15.

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量