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排序方式: 共有110条查询结果,搜索用时 15 毫秒
1.
2.
We prove a direct theorem for shape preservingL
p
-approximation, 0p, in terms of the classical modulus of smoothnessw
2(f, t
p
1
). This theorem may be regarded as an extension toL
p
of the well-known pointwise estimates of the Timan type and their shape-preserving variants of R. DeVore, D. Leviatan, and X. M. Yu. It leads to a characterization of monotone and convex functions in Lipschitz classes (and more general Besov spaces) in terms of their approximation by algebraic polynomials.Communicated by Ron DeVore. 相似文献
3.
We prove that a convex functionf C[–1, 1] can be approximated by convex polynomialsp
n
of degreen at the rate of 3(f, 1/n). We show this by proving that the error in approximatingf by C2 convex cubic splines withn knots is bounded by 3(f, 1/n) and that such a spline approximant has anL
third derivative which is bounded by n33(f, 1/n). Also we prove that iff C2[–1, 1], then it is approximable at the rate ofn
–2 (f, 1/n) and the two estimates yield the desired result.Communicated by Ronald A. DeVore. 相似文献
4.
We prove that forf∈L p , 0<p<1, andk a positive integer, there exists an algebraic polynomialP n of degree ≤n such that $$\left\| {f - P_n } \right\|_p \leqslant C\omega _k^\varphi \left( {f,\frac{1}{n}} \right)_p $$ whereω k ? (f,t)p is the Ditzian-Totik modulus of smoothness off inL p , andC is a constant depending only onk andp. Moreover, iff is nondecreasing andk≤2, then the polynomialP n can also be taken to be nondecreasing. 相似文献
5.
6.
Shane M. Hickey Shani K. Tripcony Rui Li Richard J. Williams 《Supramolecular chemistry》2015,27(5-6):425-435
Using the rigid norbornane scaffold, a series of low-molecular-weight organogelators has been synthesised and evaluated. Three separate compounds (16, 19 and 20) were identified as organogelators in three aromatic organic solvents (PhMe, anisole and o-xylene). The formation of fibrillar assemblies at nanometre level was confirmed using atomic force microscopy and transmission electron microscopy. 相似文献
7.
8.
Prof. Dany Leviatan 《Mathematische Zeitschrift》1972,124(3):208-212
9.
The chemical behavior and some physical properties (dipole moment, IR. vs. Raman spectra) of the titled compound are not fully consistent with a strictly centrosymmetric structure which might be expected for the anti configuration. The carbonyl groups are less reactive toward nucleophilic reagents and sp2 → sp3 transformations as compared to cyclopentanone systems. 相似文献
10.
Sigal Leviatan 《International Journal of Game Theory》2003,31(3):383-410
The consistent value is an extension of the Shapley value to the class of games with non-transferable utility.? In this paper,
the consistent value will be characterized for market games with a continuum of players of two types. We will show that for
such games the consistent value need not belong to the core, and provide conditions under which there is equivalence between
the two concepts.
Received: October 1998
RID="*"
ID="*" This thesis was completed under the supervision of Professor Sergiu Hart, The Center for Rationality and Interactive
Decision Theory, Department of Mathematics, Department of Economics, The Hebrew University of Jerusalem. I would like to thank
Professor Hart for introducing me to this area of research, for his help and guidance, and, especially, for all his patience.? I
would also like to thank Michael Borns for improving the style, and an anonymous referee for helpful comments. 相似文献