Refinements of some classical inequalities via superquadraticity

Abstract

Abstract Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.

Keywords

• Inequalities
• Refinements
• Superquadratic function
• Jensen–
• Minkowski-
• Beckenbach–Dresher-