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局部搜索算法是一种非常有效的求解组合优化问题的算法 ,它具有通用、灵活等特点 .但是 ,由于搜索空间和目标函数的复杂性 ,目标函数在搜索空间中有许多局部极小值点 ,使算法在这些局部极小值点处被“卡住”,大大影响算法的效果 .对于此问题 ,笔者查阅了大量文献资料 ,结合自己的研究实践 ,总结出几种跳出局部极小“陷井”的策略 .使用这些策略 ,有望使算法更加完善 ,在求解组合优化问题过程中更能发挥其作用 . 相似文献
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本文研究局部Hardy空间Hloc1(Ω)与局部Lorentz空间Lloc1,γ(Ω)(0<γ≤1)之间的关系.当0<γ≤1/2时,两者无不包含;当1/2<γ≤1时,Hloc1(Ω)中的非负函数必然属于Lloc1,γ(Ω). 相似文献
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本文研究局部Hardy空间H1 loc(Ω)与局部Lorentz空间L1,γ loc(Ω)(0<r≤1)之间的关系.当0<r ≤1/2时,两者无不包含;当1/2<r≤1时,H1 loc(Ω)中的非负函数必然属于L1 loc(Ω). 相似文献
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本文引入了代数的局部完备集,FS-局部dcpo,局部稳定映射等概念.主要结果是:以局部Scott连续映射为态射的代数的局部完备集范畴,以局部稳定映射为态射的代数的局部完备集范畴以及以局部Scott连续映射为态射的FS-局部dcpo范畴都是笛卡儿闭范畴. 相似文献
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关于总体分布的矩确定 总被引:1,自引:0,他引:1
邹新堤 《高校应用数学学报(A辑)》1994,(1):37-42
本文引进了局部分布、局部矩、局部矩法估计、样本局部矩和局部分布的矩确定等概念。从而为著名的经典矩量问题提供了新的研究途径与方法并获得了若干新结果。 相似文献
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得到了支撑在[O,∞)上的不同分布的卷积(包括卷积根)的局部封闭性及局部渐近性的充分条件和必要条件,它揭示了不同分布的卷积及两两卷积之间的内在关系.这一结果的充分性部分推广了Geluk等非局部的相应结果,并且两者使用的方法是不同的;而这一结果的必要性部分是Geluk等人的结果中所没有的.最后,讨论了(-∞,∞)上不同分布卷积的局部封闭性及局部渐近性. 相似文献
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本文首先给出了Baskakov-Durrmeyer算子在一致副近意义下的正定理,并把它推广到一类线性组合的情形,然后讨论了它的导数与光滑模的等价关系,最后给出了二元Baskakov-Durrmeyer算子逼近阶的特征刻画. 相似文献
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Li Bingzheng 《分析论及其应用》1993,9(3):61-72
We consider the linear combinations of Baskakov-Durrmeyer operators and give the characterization in terms of the classical
modulous of smoothness for ∞-norm by the means of the pointwise simultanrous approximation. An equivalence ralation between
the derivatives of these operators and smoothness of functions is also presented.
Supported by Zhejiang Provincial Foundation of China. 相似文献
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The present paper deals with the study of the rate of convergence of the integrated Baskakov-Durrmeyer type operators in simultaneous approximation. We also mention some of the improvements on the recent paper of Deo [N. Deo, Direct results on exponential type operators, Applied Mathematics and Computation 204(1) (2008) 109-115]. 相似文献
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Very recently Aral and Gupta [1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic formula. Also in the end we propose modified q-Baskakov-Durrmeyer operators, from which one can obtain better approximation results over compact interval. 相似文献
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Trapti Neer Ana Maria Acu P.N. Agrawal 《Mathematical Methods in the Applied Sciences》2020,43(6):2911-2923
In this paper, we define the Baskakov-Durrmeyer type operators based on generalized Appell polynomials. Here, we establish moment estimates, an estimate via weighted modulus of continuity and a Voronovoskaya type asymptotic result. Further, we study a quantitative-Voronovoskaya-type theorem and Grüss Voronovskaya-type theorem. Lastly, we give the approximation result for functions having derivatives of bounded variation. 相似文献
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本文给出一类Baskakov—Durrmeyer算子及其线性组合,利用Ditzian-Totik光滑模及相应的K-泛函,得到了这类算子L_p-逼近的特征刻划。 相似文献
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We consider the n- th. operators of Baskakov-Durrmeyer type, which result from the classical Baskakov-type operators with weights p nk, if the values f(k/n) are replaced by the integral terms \((n - c)\int_{I} p_{nk} (t) f(t) dt \) , where I denotes the corresponding interval which depends on the parameter c. For integrable functions the rate of weighted simultaneous approximation will be related to the Ditzian-Totik modulus of smoothness. 相似文献
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Direct and converse results for operators of Baskakov-Durrmeyer type 总被引:19,自引:0,他引:19
M. Heilmann 《分析论及其应用》1989,5(1):105-127
We consder the n-th so-called operators of Baskakov-Durrmeyer type, which result from the classical Baskakov-type operators
with weights pnk, if the discrete values f(k/n) are replaced by the integral terms (n-c∫
0
∞
p
n
k(t)f(t)dt. The main differences between these operators and their classical and Kantorovicvariants respectively is that they commute.
We prove direct and converse theorems also for linear combinations of the operators and results of Zamansky-Sunouchi type.
As an important tool for measuring the smootheness of a function we use the Ditzian-Totik modulus of smoothness and its equivalence
to appropriate K-functionals.
This paper is part of the author's dissertation. 相似文献
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本文应用Ditzian-Totik模得到Baskakov-Durrmeyer算子线性组合的点态逼近的等 价定理. 相似文献