关于保形分数积分梯形型不等式的新结果

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3371

F. Hezenci, H. Budak

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引用次数: 2

摘要

本文建立了关于保形分数积分的可微s-凸函数情形的恒等式。利用这个恒等式，在保形分数积分的帮助下，用s-凸函数证明了各种梯形型不等式。利用凸性、Hölder不等式和幂均值不等式得到了几个重要的不等式。此外，还给出了一个使用图的例子，以表明我们的主要结果是正确的。通过对所得结果的特殊选择，我们给出了与梯形型不等式有关的几个新结果。

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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Novel results on trapezoid-type inequalities for conformable fractional integrals

: This paper establishes an identity for the case of differentiable s − convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by s − convex functions with the help of the conformable fractional integrals. Several important inequalities are acquired with taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Moreover, an example using graph is given in order to show that our main results are correct. By using the special choices of the obtained results, we present several new results connected with trapezoid-type inequalities.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.