On Harmonically ( p , h , m )‎ -Preinvex Functions

Abstract EN

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.