On functions satisfying a local Lipschitz condition of order α
A note on approximation of the identity
A generalization of the Yosida-Kakutani ergodic theorem
Maximal Inequalities for a Best Approximation Operator in Orlicz Spaces
In this paper we study a maximal operator related with the best approximation by constants for a function , where we denote by derivative function of the convex function . We get a necessary and sufficient condition which assure strong inequalities of the type , where is a constant independent of . Some pointwise and mean convergence results are obtained. In the particular case we obtain several equivalent conditions on the functions that assures strong inequalities of this type....
Extension of the best approximation operator in Orlicz spaces and weak-type inequalities.
Extension of the best approximation operator in Orlicz spaces.
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