For remainder functionals (e.g., approximation or quadrature errors), estimates by the moduli of smoothness are obtained. As a by-product, the constants in the estimate of the -functional by the moduli of smoothness are improved.
Cite this article
P. Köhler, Estimating Remainder Functionals by the Moduli of Smoothness. Z. Anal. Anwend. 13 (1994), no. 1, pp. 171–179DOI 10.4171/ZAA/518