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Anglický jazyk
Approximation Properties of New Lupas-type Operators
Autor: Haneen J. Sadiq Al. Mansory
In this book, I studied the approximation properties of a sequence of Lupas-type operators L_n (f;x) on the space C[0,8). Then I define the sequence L ~_n (f;x) which represented a generalization of the operators L_n (f;x) on the space C_¿ [0,8). I applying... Viac o knihe
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O knihe
In this book, I studied the approximation properties of a sequence of Lupas-type operators L_n (f;x) on the space C[0,8). Then I define the sequence L ~_n (f;x) which represented a generalization of the operators L_n (f;x) on the space C_¿ [0,8). I applying the development of Bauer and Donner on Korovkin theorem, and define the m-th order moment T ~_(n,m) (x), also, I proved the Voronoviskaja-type asymptotic formula for the operators L ~_n.Finally, I define the sequence L ~_(n,m) (f;x) on the space C_(¿,q) ([0,8)×[0,8)) which represented an extension of the operators L ~_n on two dimensions (x,y) also applying the development of Bauer and Donner on Korovkin theorem, then proved the Voronoviskaja-type asymptotic formula for the operators L ~_(n,m) (f;x,y). All above results lead us to show that the three operators L_n, L ~_n and L ~_(n,m) have the same order of approximation.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2017
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783330318861
