Multivalued Extended Best Φ-Polynomial Approximation Operator

Abstract

ABSTRACTIn this article, we consider the best multivalued polynomial approximation operator, defined in an Orlicz Space LΦ(B), and its extension to Lφ(B), where φ is the derivative of Φ which is not an N-function. Thus, the extension of the best polynomial approximation operator from L1(B) to L0(B) arises as a particular case of this work, taking Φ(x) = x.