Quasi-arithmetic Means Inequalities Criteria for Differentiable Functions
- Bovzidar Ivankovic
Abstract
Quasi-arithmetic means are defined for continuous, strictly monotone functions. In the case that functions are twice differentiable, we obtained criteria for inequalities between finite number of quasi-arithmetic means in additional and multiplicative case. Applications for H\"older and Minkowski type inequalities are given.- Full Text:
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- DOI:10.5539/jmr.v7n4p130
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