Integral Inequalities Involving Strongly Convex Functions. (11th June 2018)

• Record Type: Journal Article
• Authors: Song, Ying-Qing; Adil Khan, Muhammad; Zaheer Ullah, Syed; Chu, Yu-Ming
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-06-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/6595921
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We study the notions of strongly convex function as well asF -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 for strongly convex functions.