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991.
By the explicit representation for the divided differences with repetitions involving cycle index of symmetric groups, this paper deals with the asymptotic behavior of the intermediate point of the mean value theorem of divided differences with repetitions. Our results generalize some recent interesting results such as the asymptotic expansions of the immediate points of the Taylor formula and the differential mean value theorem of divided differences with distinct points. 相似文献
992.
Support-type properties of generalized convex functions 总被引:1,自引:0,他引:1
Szymon W?sowicz 《Journal of Mathematical Analysis and Applications》2010,365(1):415-747
Chebyshev systems induce in a natural way a concept of convexity. The functions convex in this sense behave in many aspects similarly to ordinary convex functions. In this paper support-type properties are investigated. Using osculatory interpolation, the existence of support-like functions is established for functions convex with respect to Chebyshev systems. Unique supports are determined. A characterization of the generalized convexity via support properties is presented. 相似文献
993.
Rafa? Filipów 《Journal of Combinatorial Theory, Series A》2010,117(7):943-956
We characterize ideals of subsets of natural numbers for which some versions of Schur's theorem hold. These are similar to generalizations shown by Bergelson (1986) in [1] and Frankl, Graham and Rödl (1990) in [7]. Additionally, we prove a generalization of an iterated version of Ramsey's theorem. 相似文献
994.
Hempel and McMillan showed that a closed 3-manifold that can be covered by three open balls is a connected sum of S3- and S2-bundles over S1. In this paper we obtain a classification of all closed 3-manifolds that can be covered by two open balls and one open solid torus or by one open ball and two open solid tori. 相似文献
995.
Ljubomir ?iri? Vladimir Rako?evi? 《Journal of Computational and Applied Mathematics》2010,233(11):2966-5789
In this paper, the concept of a pair of non-linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non-linear contractions are established. Presented results generalize and improve some of the known results. An example is constructed to show that our theorems are genuine generalizations of the main theorems of Assad, ?iri?, Khan et al., Rhoades and Imdad and Kumar. One of the possible applications of our results is also presented. 相似文献
996.
997.
Martin Gugat 《Mathematical Programming》1999,85(3):643-653
The growth of the multipliers, when the parameter approaches such a critical parameter, is characterized by a parametric constraint
qualification which is introduced here. It is equivalent to a bound on the growth of the multipliers.
Received May 8, 1995 / Revised version received February 12, 1998
Published online February 25, 1999 相似文献
998.
张石生 《应用数学和力学(英文版)》2001,22(1):25-34
IntroductionThroughoutthispaperweassumethatEisarealBanachspace ,E isthedualspaceofE ,DisanonemptysubsetofEandJ:E → 2 E isthenormalizeddualitymappingdefinedbyJ(x) =f∈E :〈x ,f〉 =‖x‖·‖f‖ , ‖f‖ =‖x‖ (x∈E) . Ddfinition 1 1 LetT :D →Dbeamapping1 )Tissaidtobeasymptoticallyno… 相似文献
999.
Let X1, …, Xn be independent random variables and define for each finite subset I {1, …, n} the σ-algebra
= σ{Xi : i ε I}. In this paper
-measurable random variables WI are considered, subject to the centering condition E(WI
) = 0 a.s. unless I J. A central limit theorem is proven for d-homogeneous sums W(n) = ΣI = dWI, with var W(n) = 1, where the summation extends over all (nd) subsets I {1, …, n} of size I = d, under the condition that the normed fourth moment of W(n) tends to 3. Under some extra conditions the condition is also necessary. 相似文献
1000.