On simultaneous approximation


Abstract


In this paper first we give two different definitions for best simultaneous %L_{\text{p }} approximation to n functions and study the relation betweenbest simultaneous approximation and best L_{\text{p }}approximations tothe arithmetic mean of n functions. In addition we consider the definitionand the theorem about the simultaneous approximation to n (n odd)functions in the ''sum'' norm .


DOI Code: 10.1285/i15900932v21n1p71

Keywords: Approximation; Simultaneous; Banach space

Classification: 41A28

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