Hermite-Hadamard-Type Inequalities for Multiplicative Harmonic s-Convex Functions

被引：0
作者：
Ozcan, Serap [1 ]
Urus, Ayca [2 ]
Butt, Saad Ihsan [3 ]
机构：
[1] Kirklareli Univ, Fac Arts & Sci, Dept Math, Kirklareli, Turkiye
[2] Kirklareli Univ, Inst Nat Sci, Dept Math, Kirklareli, Turkiye
[3] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2025年
关键词：
INTEGRAL-INEQUALITIES;
D O I：
10.1007/s11253-025-02404-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the concept of multiplicative harmonic s-convex functions and establish Hermite-Hadamard integral inequalities for this class of functions. Furthermore, we obtain a set of Hermite-Hadamard-type inequalities applicable to the products and quotients of multiplicative harmonic s-convex functions. In addition, we deduce new inequalities involving multiplicative integrals for the products and quotients of harmonic convex and multiplicative harmonic s-convex functions. Some results for the class of multiplicative harmonic convex functions are obtained as special cases of our results. The obtained results are verified by the presented examples with included graphs.
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收藏
页码：1537 / 1558
页数：22
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