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Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3

Tie‐Hong Zhao, Hong-Hu Chu, Yu‐Ming Chu

2022Journal of Mathematical Inequalities42 citationsDOIOpen Access PDF

Abstract

In the article, we prove that 1 = 0 , 1 = 5/8 , 2 = -1/8 , 2 = 0 , 3 = -1 and 3 = -7/8 are the best possible parameters such that the double inequalities

Topics & Concepts

MathematicsType (biology)Power (physics)CombinatoricsPhysicsEcologyQuantum mechanicsBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsApproximation Theory and Sequence Spaces