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

被引：0
作者：
Kottakkaran Sooppy Nisar
Feng Qi
Gauhar Rahman
Shahid Mubeen
Muhammad Arshad
机构：
[1] Prince Sattam Bin Abdulaziz University,Department of Mathematics, College of Arts and Science at Wadi Aldawaser
[2] Henan Polytechnic University,Institute of Mathematics
[3] Tianjin Polytechnic University,Department of Mathematics, College of Science
[4] University of Electronic Science and Technology of China,Institute of Fundamental and Frontier Sciences
[5] International Islamic University,Department of Mathematics
[6] University of Sargodha,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Extended gamma function; Inequality; Logarithmic convexity; Confluent hypergeometric ; -function; 33B15; 33C15; 33B20; 33C05; 41A60;
D O I：
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摘要：
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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