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On Hadamard Type Inequalities For Generalized Weighted Quasi-Arithmetic Means
Integral mean Hadamard's inequality Generalized weighted quasi-arithmetic mean Convex functions
2008/6/30
Abstract: In the present paper we establish some integral inequalities analogous to the well-known Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral fo...
When Lagrangean and Quasi-Arithmetic Means Coincide
Mean Lagrangean mean Quasi-arithmetic mean Jensen equation Convexity
2008/6/26
We give a complete characterization of functions generating the same Lagrangean mean and quasi-arithmetic mean . We also solve the equation imposing some additional conditions on and 。