A note on the bounded linear operators on the spaces Ip and Lp
โ Scribed by E Tarafdar
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 199 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The degree of approximation in L p -spaces by positive linear operators is estimated in terms of the integral modulus of smoothness. It is shown that the conjectured optimal degree of approximation is not attained in the class of functions having a second derivative belonging to L p .
## Abstract This paper is concerned with the thermoelastic plate equations in a domain ฮฉ: subject to the boundary condition: __u__|=__D__~ฮฝ~__u__|=ฮธ|=0 and initial condition: (__u, u__~__t__~, ฮธ)|~__t__=0~=(__u__~0~, __v__~0~, ฮธ~0~). Here, ฮฉ is a bounded domain in โ^__n__^(__n__โง2). We assume tha