A Note on the q-Derivative Operator
β Scribed by J. Koekoek; R. Koekoek
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 163 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The limit __q__βBernstein operator __B__~__q__~ emerges naturally as an analogue to the SzΓ‘szβMirakyan operator related to the Euler distribution. Alternatively, __B__~__q__~ comes out as a limit for a sequence of __q__βBernstein polynomials in the case 0<__q__<1. Lately, different prop
## Abstract Let __X__ be a Banach space. We show that each __m__ : β \ {0} β __L__ (__X__ ) satisfying the Mikhlin condition sup~__x__ β 0~(β__m__ (__x__ )β + β__xm__ β²(__x__ )β) < β defines a Fourier multiplier on __B__ ^__s__^ ~__p,q__~ (β; __X__ ) if and only if 1 < __p__ < β and __X__ is isomorp
## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that β(__T β zI__)^β1^β=1/__d__(__z, W__(__T__)) for all __z__β__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__