伽马函数的Windschitl型近似公式。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-10-05 DOI:10.1186/s13660-018-1870-0

Zhen-Hang Yang, Jing-Feng Tian

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引用次数: 0

摘要

本文给出了伽玛函数的四个新的Windschitl型近似公式。通过一些独特的思想和技术，我们证明了四个函数与伽玛函数和Windschitl型近似公式相结合具有良好的性质，如单调性和凸性。这些不仅为伽玛函数和阶乘函数产生了一些新的不等式，而且为已知不等式提供了新的证明，并加强了已知结果。

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Windschitl type approximation formulas for the gamma function.

In this paper, we present four new Windschitl type approximation formulas for the gamma function. By some unique ideas and techniques, we prove that four functions combined with the gamma function and Windschitl type approximation formulas have good properties, such as monotonicity and convexity. These not only yield some new inequalities for the gamma and factorial functions, but also provide a new proof of known inequalities and strengthen known results.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.