广义分数积分的广义hermite-hadamard内含

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI:10.1216/rmj.2023.53.383

Hüseyin Budak, Hasan Kara, Fatih Hezenci

引用次数: 0

摘要

介绍了区间值函数的新的广义分数积分。然后利用这些新定义的广义分数积分证明了区间值凸函数的广义Hermite-Hadamard型包含。我们还表明，这些结果推广了先前工作中得到的几个结果。

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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GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL

We introduce new generalized fractional integrals for interval-valued functions. Then we prove generalized Hermite–Hadamard type inclusions for interval-valued convex functions using these newly defined generalized fractional integrals. We also show that these results generalize several results obtained in earlier works.

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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.