On Best Approximation Operators in Orlicz Spaces

Best Simultaneous Approximation in Orlicz Spaces

Composition Operators and Multiplication Operators on Orlicz Spaces

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Research Article Best Simultaneous Approximation in Orlicz Spaces

Recommended by Ricardo Estrada Let X be a Banach space and let L Φ (I,X) denote the space of Orlicz X-valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist Φ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in a...

Multivariate Moment Type Operators: Approximation Properties in Orlicz Spaces

In this papermodular convergence theorems inOrlicz spaces for multivariate extensions of the one-dimensional moment operator are given and the order of modular convergence in modular Lipschitz classes is studied.

Composition Operators in Orlicz Spaces

Composition operators C− between Orlicz spaces L.;6;1⁄4/ generated by measurable and nonsingular transformations − from  into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping − , the function ' and the measure space .;6;1⁄4/. These results generalize earlier results known for L p-spaces....