Petrović-type inequalities for harmonic \(h\)-convex functions
Summary: In the article, we establish several Petrović-type inequalities for the harmonic \(h\)-convex (concave) function if \(h\) is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove the superadditivity, subadditivity, linearity, and monotonicity properties for the functionals derived from the Petrović type inequalities.
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