Theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces

✍ Scribed by Grzegorz Nowak; Aneta Sikorska-Nowak

• Book ID: 111493083
• Publisher: SP Versita
• Year: 2010
• Tongue: English
• Weight: 413 KB
• Volume: 60
• Category: Article
• ISSN: 0139-9918
• DOI: 10.2478/s12175-010-0011-0

✦ Synopsis

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 σ f ∈ L p (R), where 1 ≤ p ≤ ∞ and w σ (x) = exp(-σx 2 ), σ > 0.