Grüss-type and Ostrowski-type inequalities in approximation theory
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....
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| Datum: | 2011 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2011
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/166246 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |