Multivalued extended best \phi - polynomial approximation operator

ACINAS, SONIA; FAVIER, SERGIO

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

TAYLOR & FRANCIS INC

Lugar: Londres; Año: 2016

0163-0563

In this paper we consider the best multivalued polynomial approximation operator,defined in an Orlicz Space $L^{\Phi}(B)$, and its extension to$L^{\varphi}(B)$, where $\varphi$ is the derivative of $\Phi$ which is not an$N$-function. Thus, the extension of the best polynomial approximation operatorfrom $L^1(B)$ to $L^0(B)$ arises as a  particular case of this work taking $\Phi(x)=x$.