Grüss-type and Ostrowski-type inequalities in approximation theory

• Published in: Український математичний журнал
• Date: 2011
• Main Authors: Acu, A.-M., Gonska, H., Rasa, I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166246
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Grüss-type and Ostrowski-type inequalities in approximation theory / A.-M. Acu, H. Gonska, I. Rasa // Український математичний журнал. — 2011. — Т. 63, № 6. — С. 723–740. — Бібліогр.: 24 назв. — англ.

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]→C[a,b] is a positive linear operator and x∈[a,b] is fixed....