Search

wu, shanhe/0000-0002-8772-8170; iscan, imdat/0000-0001-6749-0591; Baloch, Imran Abbas/0000-0001-8941-2527 WOS: 000394530200001 We define a new generalized class of harmonically preinvex functions named harmonically (p, h, m)-preinvex functions, which includes harmonic (p, h)-preinvex functions, harmonic. p-preinvex functions, harmonic h-preinvex functions, and m-convex functions as special cases. We also investigate the properties and characterizations of harmonically (p, h, m)-preinvex functions. Finally, we establish some integral inequalities to show the applications of harmonically (p, h, m)-preinvex functions. Natural Science Foundation of Fujian Province of ChinaNatural Science Foundation of Fujian Province [2016J01023] The work of the first author has been supported by the Natural Science Foundation of Fujian Province of China under Grant no. 2016J01023.

In this paper we sharpen and generalize the Jordan’s inequality, our results unify and optimize some corresponding known results in the recent papers. As application, the obtained results are used to improve the wellknown L. Yang’s inequality.