一些涉及扩展伽玛函数和Kummer合流超几何k-函数的不等式。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-19 DOI:10.1186/s13660-018-1717-8

Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, Muhammad Arshad

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引用次数: 41

摘要

本文通过同步（或异步）映射的Chebychev不等式等经典不等式，给出了一些涉及扩展gamma函数和Kummer合流超几何k函数的不等式，并利用Hölder不等式给出了扩展gamma功能的对数凸性的新证明，并引入Kummer合流k-超几何函数的Turán型均值不等式。

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Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function.

In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev's inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity of the extended gamma function by using the Hölder inequality, and introduce a Turán type mean inequality for the Kummer confluent k-hypergeometric function.

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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.