Some additive reverses of Callebaut and Hölder inequalities for isotonic functionals

Abstract

In this paper, we obtain some reverses of Callebaut and Hölder inequalities for isotonic functionals via a reverse of Young’s inequality we have established recently. Applications for integrals and n-tuples of real numbers are provided as well.

Keywords

• Discrete inequalities
• Isotonic Functionals
• Hölder's inequality
• Schwarz’s inequality
• Callebaut’s inequality
• Integral inequalities

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