Best Approximate Integration Formulas; Best Approximation Formulas
- 1 January 1949
- journal article
- Published by JSTOR in American Journal of Mathematics
- Vol. 71 (1), 80
- https://doi.org/10.2307/2372095
Abstract
Summary:This paper is concerned with minimizing the norm of the remainder of integration formula. The author states that for some classes of functions the minimum is achieved only if the remainder vanishes for every polynomial of degree $< r$