A chain rule involving vector functions of bounded variation
β Scribed by J.J Moreau; M Valadier
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 672 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
~t ~s i ## I l -i s n R arbitrary The function 11./1 is a norm on the set V , of all functions f wit,h f ( 0 ) = 0. supplied with this norm I ; , is a BAXACH space. For p=-1 set ct,(f) = Iim sup ( lf(ti) -/(ti -,) i p)i 'p
In the present paper, we estimate the rate of pointwise convergence of the BΓ©zier Variant of Chlodowsky operators C n, for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.
In the present paper we investigate the behavior of the operators L n (f , x), defined as and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval (0, β). We use analysis instead of probability methods t
We slightly improve the lower bound of B! a aez-Duarte, Balazard, Landreau and Saias in the Nyman-Beurling formulation of the Riemann Hypothesis as an approximation problem. We construct Hilbert space vectors which could prove useful in the context of the so-called ''Hilbert-P ! o olya idea''.