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Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić type inequalities derived by the properties of γ -quasiconvex functions that we deal with here, can be seen as analog to these for superquadratic functions and refinements of these for convex functions. Mathematics subject classification (2010): 26D15.

Jensen, Hölder, Minkowski, Jensen-Steffensen and Slater-Pečarić inequalities derived through N-quasiconvexity