On Harmonically (p, h, m)-Preinvex Functions. (31st January 2017)

• Record Type: Journal Article
• Authors: Wu, Shan-He; Baloch, Imran Abbas; İşcan, İmdat
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-01-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/2148529
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.