Optimal renewal of definite integrals of monotone functions from the class Hω
Abstract
We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions f(t) monotone on [a,b] with a convex majorant of the modulus of continuity, provided that |f(b)−f(a)|=L>0.
Published
25.08.1997
How to Cite
Busarova, T. N. “Optimal Renewal of Definite Integrals of Monotone Functions from the Class Hω”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 8, Aug. 1997, pp. 1011–1015, https://umj.imath.kiev.ua/index.php/umj/article/view/5095.
Issue
Section
Research articles