RIEMANN-LIOUVILLE分数积分的一些扰动牛顿型不等式

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-08-01 DOI:10.1216/rmj.2023.53.1117

F. Hezenci, H. Budak

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引用次数: 1

摘要

本文给出了二阶导数为凸的二次可微函数的一个恒等式。利用这个等式，我们建立了两次可微凸函数的一些扰动牛顿型不等式。利用著名的黎曼-刘维分数积分研究了这类不等式。最后，在最后一节中给出了一些研究结论。

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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SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS

In the present paper, we derive an identity for the case of twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions. These type of inequalities are investigated by using the well-known Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems Finally, some conclusions of research are given in the last section.

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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.