engleski

Criteria Enlargement for an Inequality Between Quasi-Arithmetic Means

Given criteria on differentiable functions for inequalities between a function value calculated on two quasi-arithmetic means and the quasi-arithmetic mean calculating on function values of two variables are enlarged for a case of three quasi-arithmetic means and functions of three variables. Special investigations are analyzed in additional and multiplicative cases.

quasi-arithmetic means ; convexity ; differentiable functions ; Hölder type inequalities ; Minkowski type inequalities.

nije evidentirano