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| 1 | ON NEWMAN-TYPE RATIONAL INTERPOLATION TO |x| AT THE CHEBYSHEV NODES OF THE SECOND KIND显示文摘最近, Brutman 和 Passow 认为 Newman 类型合理插值是 to|x |由对称的节点的任意的集合导致了在[-1,1] 并且给了近似错误的一般评价。由他们的方法,一个人能为一些特殊节点建立近似的准确顺序。在我们考虑插值节点是第二种类型的零个 Chebyshev 多项式并且在这种情况中证明那的特殊情况的现在的纸,近似的准确顺序是 O (1/(n ln n )) 。 | Laiyi Zhu Zhaolin Dong | 2006 | Analysis in Theory and Applications2006，22，3： | 10 |
| 2 | 银额盆地哈日凹陷巴音戈壁组流体包裹体特征与油气成藏期次显示文摘前人对银额盆地中生界油气成藏期次和时间的认识存在很大分歧,造成这种分歧的可能原因是复杂的地质条件及其所引起的盆地内不同凹陷、甚至是同一凹陷不同构造部位油气成藏时间存在差异性,而前人的研究仅基于有限的样品点,研究结论不能有效指导勘探.以哈日凹陷为研究对象,对不同构造部位钻井的主要含油层段(巴音戈壁组)进行针对性取样,对样品开展流体包裹体相关研究,发现所有样品均存在大量的流体包裹体,包裹体的类别主要有烃包裹体和盐水包裹体.其中油包裹体的荧光颜色有淡蓝色和淡黄色两种,其荧光光谱特征也指示研究区至少存在两期不同成熟度的烃类充注过程.对取样井进行沉积埋藏史和热演化史数值模拟,结合与烃包裹体共生盐水包裹体的均一温度,确定了油气成藏期次和时间.洼漕带YHC1井巴音戈壁组存在两期油气充注,时间分别为107-104Ma和99Ma,对应苏红图组沉积中期和银根组沉积早期;斜坡带H3井也存在两期油气充注,时间分别为99Ma和72-71Ma,对应银根组沉积早期和乌兰苏海组沉积晚期;边缘带的H2井也存在两期油气充注,时间分别为85Ma和75-71Ma,对应乌兰苏海组沉积中期和晚期.凹陷不同构造部位油气成藏时间的差异表明研究区巴音戈壁组烃源岩所生成的油气二次运移距离极为有限,油藏以近源成藏为主. | 任来义 贺永红 陈治军 刘护创 白晓寅 王小多 韩长春 Ren Laiyi | 2019 | 中国石油勘探2019，24，6： | 5 |
| 3 | On the modifying Lagrange interpolation polynomial 显示文摘 | Zhu Laiyi | 1993 | AcTa Mathematica Sinica1993，1，： | 2 |
| 4 | Synthesis and biological relationships of 3',6-substituted-2-phenyl-4-quinolone3-carboxylic acid derivatives as antimitotic agents显示文摘 | LAIYY HUANG LJ LEE KH | 2005 | Bioorg Med Chem2005，131，： | 1 |
| 5 | Feasi-bility study of mental fatigue grade based on komlogoroventropy显示文摘 | ZHANG LAIYI ZHENG CHONGXUN LI XIAOPING | 2005 | Space Med Med Engineering2005，18，5： | 1 |
| 6 | THE NORM OF BERNSTEIN 21-ADJUSTEDINTERPOLATION POLYNOMIAL OPERATORS显示文摘In this paper we estimated the norm of Bernstein 21-adjusted interpolation polynomial operators, and proved that the estimation is | Peng Wuan (1) Zhu Laiyi (2) | 1999 | Analysis in Theory and Applications1999，15，1： | 1 |
| 7 | ON LAGRANGE INTERPOLATION FOR |X|~α (0 < α < 1)显示文摘We study the optimal order of approximation for |x|α (0 < α < 1) by Lagrange interpolation polynomials based on Chebyshev nodes of the first kind. It is proved that the Jackson order of approximation is attained. | Laiyi Zhu and Zhiyong Huang School of Information People’s University of China Beijing, 100872P. R. China | 2009 | Analysis in Theory and Applications2009，25，1： | 1 |
| 8 | Zinc finger pro- teins: new insights into structural and functional di- versity显示文摘 | Laiyy J H Lee B M Wright P E | 2001 | Curr Opin Struct Biol2001，11，1： | 1 |
| 9 | On the modifying Lagrange interpolation polynomial显示文摘 | Zhu Laiyi | 1993 | AcTa Mathematica Sinica1993，，1： | 1 |
| 10 | SATURATION THEOREMS FOR GENERALIZED BERNSTEIN POLYNOMIALS显示文摘In the present paper, we give the explicit formula of the principal part of n ∑ k=0 ([k]q -[n]qx)sxk n-k-1 ∏ m=0 (1-qmx) with respect to [n]q for any integer s and q ∈ (0,1]. And, using the expressions, we obtain saturation theorems for Bn(f,qn;x) approximating to f(x) ∈ C[0,1], 0 < qn ≤ 1, qn → 1. | Laiyi Zhu Qiu Lin | 2009 | Analysis in Theory and Applications2009，25，3： | 1 |
| 11 | On Revised Lagrange interpolation polynomial显示文摘 | Zhu Laiyi | 1993 | Journal of Math1993，1，： | 1 |
| 12 | 驾控升级——测试凯迪拉克CTS Coupe显示文摘原本我想使用一个表示CTS Coupe如何如何“亮骚”的词作为标题,但是转念一想关于CTS Coupe的美一眼便知,但它大大优于普通CTS的操控才是我真正应该直接告诉你们的。 | LAIYI LAIWI(摄影) | 2011 | 车时代2011，，10： | 0 |
| 13 | WEIGHTED APPROXIMATION OF r-MONOTONE FUNCTIONS ON THE REAL LINE BY BERNSTEIN OPERATORS显示文摘In this paper, we give error estimates for the weighted approximation of r- monotone functions on the real line with Freud weights by Bernstein-type operators. | Laiyi Zhu Xiaojie Zhu Xing Liu | 2011 | Analysis in Theory and Applications2011，27，3： | 0 |
| 14 | A Note on a Theorem of J. Szabados显示文摘In this note, we establish a companion result to the theorem of J. Szabados on the maximum of fundamental functions of Lagrange interpolation based on Chebyshev nodes. | Laiyi Zhu Yang Tan | 2013 | Analysis in Theory and Applications2013，29，3： | 0 |
| 15 | Erdös Type Inequality for Lorentz Polynomials显示文摘An elementary, but very useful tool for proving inequalities for polynomials with restricted zeros is the Bernstein or Lorentz representation of polynomials. In the present paper, we give two classes of Lorentz polynomials, for which the Erd?s-type inequality holds. | Laiyi Zhu Dapeng Zhou Zhiyong Huang | 2018 | Analysis in Theory and Applications2018，34，3： | 0 |
| 16 | THE ASYMPTOTIC FORMULA OF THE ORTHOGONAL RATIONAL FUNCTION ON THE UNIT CIRCLE显示文摘In this paper we obtained the asymptotic formula of the orthogonal rational function on the unit circlewith respect to the weight function μ(z) with preasigned poles, which are in the exterior of the unit disk. | Zhu Laiyi People’s Universityy of China, China | 1993 | Analysis in Theory and Applications1993，9，2： | 0 |
| 17 | 新境界——测试福特锐界2011款3.5L尊锐型显示文摘全新锐界较老款在每一个细节都进行了全面的升级,新外观、新内饰、新的动力总成以及传动系统,这些改进让锐界进入了一个新的境界。 | LaiYi | 2011 | 车时代2011，，12： | 0 |
| 18 | APPROXIMATION PROPERTIES OF LAGRANGE INTERPOLATION POLYNOMIAL BASED ON THE ZEROS OF (1-x^2)cosnarccosx显示文摘We study some approximation properties of Lagrange interpolation polynomial based on the ze- ros of (1 ? x2) cos n arccos x. By using a decomposition for f(x) ∈ CrCr+1 we obtain an estimate of f(x)?Ln+2(f, x) which re?ects the in?uence of the position of the x’s and ω(f(r+1), δ)j, j = 0, 1, ··· , s, on the error of approximation. | Laiyi Zhu | 2006 | Analysis in Theory and Applications2006，22，2： | 0 |
| 19 | CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS显示文摘In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn (f, qn ; x) approximating to f ′ (x) asn →∞, which is a generalization of that relating the classical case qn = 1. On the other hand, we study the convergence properties of derivatives of the limit q-Bernstein operators B ∞ (f, q; x) as q → 1- . | Laiyi Zhu Lin Qiu | 2012 | Analysis in Theory and Applications2012，28，2： | 0 |
| 20 | On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes显示文摘In this paper,we investigate the negative extremums of fundamental functions of Lagrange interpolation based on Chebyshev nodes.Moreover,we establish some companion results to the theorem of J.Szabados on the positive extremum. | Laiyi Zhu Xu Xu | 2013 | Analysis in Theory and Applications2013，29，4： | 0 |
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