一般的完全单调函数和一些应用

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-21 DOI:10.1016/j.jmaa.2025.129984

V.E.S. Szabó

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引用次数: 0

摘要

我们简化了一些广泛应用的理论定理的证明，扩展了它们的适用性，同时修正了一些错误的结果。我们还概括了关键结果，并提出了有助于理论发展的新结果。此外，我们还利用所得结果研究了与Gamma函数相关的某些特定函数的单调性。最后，我们提出了一个与psi函数有关的开放问题。

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Completely monotone functions in general and some applications

We simplify the proof of some widely used theoretical theorems, extending their applicability, while correcting some erroneous results. We also generalize key results and present new results that contribute to the development of the theory. Furthermore, we use the results obtained to investigate the monotonicity properties of some specific functions related to the Gamma function. Finally, we formulate an open problem related to the psi function.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.