Mazur-Orlicz theorem and asymptotic formula for the error in supreme norm (Q1877134)

The authors continue their study on the use of Mazur-Orlicz theorem. Related results have been established to calculate asymptotic formulas for the errors, by \textit{M. Beśka} and \textit{K. Dziedziul} [Numer. Math. 89, No. 3, 445--456 (2001; Zbl 1011.41001)] in cardinal interpolation, by \textit{K. Dziedziul} [Appl. Math. 29, No. 1, 33--41 (2002; Zbl 1053.41024)] in shift invariant operators of polynomial order and by \textit{M. Beśka} and \textit{K. Dziedziul} [Math. Nachr. 233--234, 47--53 (2002; Zbl 0990.41006)] in orthogonal projections.