On harmonically \((p, h, m)\)-preinvex functions
Summary: 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.
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