HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR THE CLASS OF STRONGLY CONVEX FUNCTIONS ON TIME SCALES

被引：5
|
作者：
Lai, Kin Keung
Bisht, Jaya
Sharma, Nidhi
Mishra, Shashi Kant
机构：
[1] School of Intelligent Systems Science and Engineering, Jinan University (Zhuhai Campus), Zhuhai
[2] Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词：
Time scales; strongly convex functions; Hermite-Hadamard inequality; (?1; 2)-strongly convex functions; Holder?s integral inequality; CALCULUS;
D O I：
10.7153/jmi-2022-16-66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of a strongly convex function with respect to two non-negative auxiliary functions on time scales. We establish several new dynamic inequalities for these classes of strongly convex functions. The results obtained in this paper are the gener-alization of the results of Rashid et al. (Mathematics, 7 (10), 956, 2019). Further, we discuss some special cases which may be deduced from our main results. Moreover, some examples of our main results are mentioned.
引用
收藏
页码：975 / 991
页数：2
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