Fractional Ostrowski Type Inequalities via φ - λ-Convex Function

被引:0
|
作者
Hassan, Ali [1 ]
Khan, Asif R. [2 ]
机构
[1] Shah Abdul Latif Univ Khairpur, Dept Math, Khairpur 66020, Pakistan
[2] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan
来源
关键词
Key words and phrases. Ostrowski inequality; Convex; Power mean inequality; Holder's inequality; INTEGRAL INEQUALITY; BOUNDED VARIATION; MAPPINGS;
D O I
10.22130/scma.2022.537502.976
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we aim to state well-known Ostrowski inequality via fractional Montgomery identity for the class of 0- lambda- convex functions. This generalized class of convex function contains other well-known convex functions from literature, allowing us to derive Ostrowski-type inequalities as specific instances. Moreover, we present Ostrowski-type inequalities for which certain powers of absolute derivatives are 0 - lambda- convex using various techniques, including Holder's inequality and the power mean inequality. Con-sequently, various established results would be captured as special cases. Moreover, we provide applications in terms of special means, allowing us to derive many numerical inequalities related to special means from Ostrowski-type inequalities.
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页码:111 / 129
页数:20
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