涉及凸函数的分数阶微积分算子加权hardy型不等式

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2018-08-01 DOI:10.1016/j.trmi.2017.12.001

Sajid Iqbal , Josip Pečarić , Lars-Erik Persson , Zivorad Tomovski

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引用次数: 0

摘要

本文的目的是利用Hilfer分数阶导数和分数阶积分算子建立一些新的涉及凸函数和单调凸函数的加权hardy型不等式，其核中有广义mittagg - leffler函数。我们还讨论了相关结果的一维情况。作为我们一般结果的特例，我们获得了Iqbal等人(2017)的结果。此外，还包括对Hilfer分数阶导数的hardy型不等式的细化。

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-type inequalities involving convex function for fractional calculus operators

The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and monotone convex functions using Hilfer fractional derivative and fractional integral operator with generalized Mittag-Leffler function in its kernel. We also discuss one dimensional cases of our related results. As a special case of our general results we obtain the results of Iqbal et al. (2017). Moreover, the refinement of Hardy-type inequalities for Hilfer fractional derivative is also included.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks