Let X be a Banach space, (I,\mu) be a finite measure space, and \Phi be an increasing subadditive continuous function on [0,+\infty) with \Phi(0)=0. In the present paper, we discuss the best p-simultaneous approximation of L^\Phi(I,G) in L^\Phi(I,X) where G is a closed subspace of X.
KHANDAQJI, MONA and SHATANAWI, WASFI (2008) "Best p-Simultaneous Approximation in Some Metric Space," Turkish Journal of Mathematics: Vol. 32: No. 1, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol32/iss1/1