论文标题
mond and pe $ \ check {c} $ ari $ \ acute {c} $不平等$ h $ -convex函数与应用程序
Mond and Pe$\check{c}$ari$\acute{c}$ inequality for $h$-convex functions with applications
论文作者
论文摘要
在本文中，我们证明了Jensen不平等的运营商版本及其Converse $ h $ -convex功能。我们为$ H $ -CONVEX功能提供了Jensen类型不等式的改进。此外，我们证明了Hermite-Hadamard的类型不等式，并且是Jensen不平等的多个操作员版本，以$ H $ -CONVEX功能。特别是，可以推导凸，$ p $ class，$ s $ convex，godunova-levin和$ s $ -Godunova-Levin-Levin功能的结果。
In this paper, we prove an operator version of the Jensen's inequality and its converse for $h$-convex functions. We provide a refinement of the Jensen type inequality for $h$-convex functions. Moreover, we prove the Hermite-Hadamard's type inequality and a multiple operator version of the Jensen's inequality for $h$-convex functions. In particular, a result for convex, $P$-class, $s$-convex, Godunova-Levin, and $s$-Godunova-Levin functions can be deduced.
