In this paper, we use a probabilistic setting to introduce a double sequence ลฝ ยฒ k : . L of linear polynomial operators which includes, as particular cases, the n classical Bernstein operators, the Kantorovic operators, and the operators recently วntroduced by Cao. For these operators, we discuss se
A New Class of Modified Bernstein Operators
โ Scribed by Yasuo Kageyama
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 187 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let H=L 2 ((0, ), dx), and K \* f (x)= f (\*x), for \*>0, f # H. An invariant operator on H is one commuting with all the K \* . A skew root is a self-adjoint, unitary operator on H satisfying T 2 =I, and TK \* =K \* \*T, for all \*>0. A generator g is an element of H such that the smallest, closed
## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that โ(__T โ zI__)^โ1^โ=1/__d__(__z, W__(__T__)) for all __z__โ__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__