On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

IF 1.9 3区数学 Q1 MATHEMATICS

Journal of Function Spaces Pub Date : 2024-01-22 DOI:10.1155/2024/4565581

Mojtaba Fardi, Ebrahim Amini, Shrideh Al-Omari

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引用次数: 0

Abstract

In this paper, we employ a -Noor integral operator to perform a -analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the -fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the -fractional integral operator and obtain some applications for the differential subordination.

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论与分式积分相关的努尔积分算子的某些类似物

在本文中，我们利用-Noor积分算子来执行定义在开放单位圆盘上的某些分数积分算子的-类似运算。然后，我们利用 Hadamard 卷积讨论了几个相关结果。同时，我们利用-分数积分算子推导出一类凸函数，并应用受启发提出的微分隶属度理论，从几何学角度探讨上述算子最常用的微分隶属度性质。此外，我们还讨论了给定凸函数类的一个令人兴奋的包含。此外，我们还研究了-分数积分算子，并获得了微分从属性的一些应用。

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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来源期刊

Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.