Generalizations Of Non-Linear Best Simultaneous Approximation in Kothe Function Spaces

Abstract

This paper is concerned with the problem of nonlinear best simultaneous approximations in KˆtheBochner function spaces with respect to Minkowskií norms in Euclidean spaces. Characterization results of the generalized best simultaneous approximation are established. These results are considered a generalization of the results concerning the Lebesgue Bochner spaces and the Orlicz Bochner spaces.