Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions
(ندگان)پدیدآور
Yesilce, IlknurAdilov, Gabilنوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.
کلید واژگان
Hermite-Hadamard inequality$mathbb{B}$-convex functions
$mathbb{B}^{-1}$-convex functions
abstract convexity
شماره نشریه
1تاریخ نشر
2017-04-011396-01-12
ناشر
Semnan Universityسازمان پدید آورنده
Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, TurkeyAkdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey
شاپا
2008-6822Related items
Showing items related by title, author, creator and subject.
-
Hermite-Hadamard Type Inequalities for MφA-Convex Functions
Turhan, Sercan؛ Kunt, Mehmet؛ İşcan, İmdat (Islamic Azad University, Central tehran Branch, 2020-03-01)This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of ...
-
Convex structures via convex $L$-subgroups of an $L$-ordered group
Liu, H.؛ Fan, W.؛ Wang, S. (University of Sistan and Baluchestan, 2019-12-01)In this paper, we first characterize the convex $L$-subgroup of an $L$-ordered group by means of fourkinds of cut sets of an $L$-subset. Then we consider the homomorphic preimages and the product of convex $L$-subgroups.
-
Outer-weakly convex domination number of graphs
Dayap, Jonecis؛ Alcantara, Richard؛ Anoos, Roma (Azarbaijan Shahid Madani University, 2020-12-01)For a given simple graph $G=((V(G),E(G))$, a set $Ssubseteq V(G)$ is an outer-weakly convex dominating set if every vertex not in $S$ is adjacent to some vertex in $S$ and $V(G)setminus S$ is a weakly convex set. The ...




