Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11601485]
机构署名：
本校为第一机构
院系归属：
理学院
摘要：
We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen's type for these classes of functions. A refinement of companion inequality to Jensen's inequality established by Matić and Pečarić is shown to be recaptured as a particular instance. Counterpart of the integral Jensen inequality for strongly convex functions is also presented. Furthermore, we present integral Jensen-Steffensen and Slater's inequality ...
