关于q-超几何函数的Riemann-Liouville分数积分的三明治型结果

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0186

A. Alb Lupaș, G. Oros

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引用次数: 5

摘要

摘要本文的研究涉及到应用于单价函数理论中的与分式微积分相关的q-微积分。定义了q-超几何函数的Riemann-Liouville分数积分，并利用微分隶属和超排序理论进行了研究。证明了包含新隶属和超隶属结果的定理和推论，分别给出了它们的最佳支配项和最佳隶属项。作为两种理论结果的应用，三明治型定理的陈述结束了研究。

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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Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function

Abstract The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using the theories of differential subordination and superordination. Theorems and corollaries containing new subordination and superordination results are proved for which best dominants and best subordinants are given, respectively. As an application of the results obtained by the means of the two theories, the statement of a sandwich-type theorem concludes the study.

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.