On Hardy and Hermite-Hadamard inequalities for $N$-tuple diamond-alpha integral

Authors : Zhong-xuan Mao, Wen-bin Zhang, Jing-feng Tian

Pages : 667-689

Doi:10.15672/hujms.1191725

View : 155 | Download : 304

Publication Date : 2024-06-27

Article Type : Research Paper

Abstract :In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales. The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality with three variables are also considered minutely.
Keywords : Hardy type inequality, Hermite Hadamard type inequality, diamond alpha integral, diamond alpha derivative, time scales