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Converse theorems for multidimensional Kantorovich operators

โœ Scribed by Ding -Xuan Zhou


Book ID
112649902
Publisher
Springer
Year
1993
Tongue
English
Weight
556 KB
Volume
19
Category
Article
ISSN
0133-3852

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Theorems for generalized Favard-Kantorov
โœ Grzegorz Nowak; Aneta Sikorska-Nowak ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› SP Versita ๐ŸŒ English โš– 413 KB

We consider the Kantorovich and the Durrmeyer type modifications of the generalized Favard operators and we prove some direct approximation theorems for functions f such that w ฯƒ f โˆˆ L p (R), where 1 โ‰ค p โ‰ค โˆž and w ฯƒ (x) = exp(-ฯƒx 2 ), ฯƒ > 0.