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Natural metrics and composition operators in generalized hyperbolic function spaces

✍ Scribed by A El-Sayed Ahmed

Book ID
120733747
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
217 KB
Volume
2012
Category
Article
ISSN
1025-5834

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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 Οƒ f ∈ L p (R), where 1 ≀ p ≀ ∞ and w Οƒ (x) = exp(-Οƒx 2 ), Οƒ > 0.