Characterization of generalized quasi-arithmetic means

On Hadamard Type Inequalities for Generalized Weighted Quasi-arithmetic Means

In the present paper we establish some integral inequalities analogous to the wellknown Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral form.

Some Results on Lipschitz Quasi-Arithmetic Means

We present in this paper some properties of k-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the k-Lipschitz property and allow us to calculate the Lipschitz constant k. Keywords— k-...

Invariance of a quasi-arithmetic mean with respect to a system of generalized Bajraktarević means

Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means

Article history: Received 16 April 2013 Available online 24 January 2014

Weighted Quasi-Arithmetic Means: Utility Functions and Weighting Functions