Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones

Abstract

In this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.

Keywords

• bounds
• criteria for the monotonicity of quotient of two power series
• a generalized logarithmic operator mean
• Heinz operator mean
• Heron operator mean
• classical operator means