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Zeitschrift für Analysis und ihre Anwendungen


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Volume 13, Issue 1, 1994, pp. 171–179
DOI: 10.4171/ZAA/518

Published online: 1994-03-31

Estimating Remainder Functionals by the Moduli of Smoothness

P. Köhler[1]

(1) Technische Universität Braunschweig, Germany

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 $\mathcal K$-functional by the moduli of smoothness are improved.

Keywords: Error estimates, modulus of continuity, modulus of smoothness, $\mathcal K$-functional

Köhler P.: Estimating Remainder Functionals by the Moduli of Smoothness. Z. Anal. Anwend. 13 (1994), 171-179. doi: 10.4171/ZAA/518