Grüss-type and Ostrowski-type inequalities in approximation theory

• Date: 2011
• Main Authors: Acu, A.-M., Gonska, H., Ra¸sa, I., Асу, А.-М., Гонська, Х., Раса, І.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2758
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We discuss the Grass inequalities on spaces of continuous functions defined on a compact metric space. Using the least concave majorant of the modulus of continuity, we obtain a Grass inequality for the functional $L(f) = H(f; x)$, where $H: C[a,b] \rightarrow C[a,b]$ is a positive linear operator...