Order moduli of convexity and smoothness
β Scribed by R. P. Maleev; S. L. Troyanski
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 230 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we study relations between moduli of smoothness with the step-weight function . and the best approximation by splines with knots uniformly distributed according to the measure with density 1Γ.(x). The direct and converse results are obtained for a class of step-weight functions, contai
Its inverse with any constants independent of f is not true in general. Hu and Yu proved that the inverse holds true for splines S with equally spaced knots, thus | m (S, t) p t t| m&1 (S$, t) p tt 2 | m&2 (S", t) p } } } . In this paper, we extend their results to splines with any given knot sequen