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| 1 | The average errors for Hermite-Fejr interpolation on the Wiener space显示文摘For 1≤ p < ∞, firstly we prove that for an arbitrary set of distinct nodes in [-1, 1], it is impossible that the errors of the Hermite-Fejr interpolation approximation in L p -norm are weakly equivalent to the corresponding errors of the best polynomial approximation for all continuous functions on [-1, 1]. Secondly, on the ground of probability theory, we discuss the p-average errors of Hermite-Fejr interpolation sequence based on the extended Chebyshev nodes of the second kind on the Wiener space. By our results we know that for 1≤ p < ∞ and 2≤ q < ∞, the p-average errors of Hermite-Fejr interpolation approximation sequence based on the extended Chebyshev nodes of the second kind are weakly equivalent to the p-average errors of the corresponding best polynomial approximation sequence for L q -norm approximation. In comparison with these results, we discuss the p-average errors of Hermite-Fejr interpolation approximation sequence based on the Chebyshev nodes of the second kind and the p-average errors of the well-known Bernstein polynomial approximation sequence on the Wiener space. | XU GuiQiao 1,* & DU YingFang 21 School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China 2 College of Chemistry and Life Science, Tianjin Normal University, Tianjin 300387, China | 2010 | Science China Mathematics2010，53，7： | 13 |
| 2 | The Simultaneous Approximation Average Errors for Bernstein Operators on the r-Fold Integrated Wiener Space显示文摘For weighted approximation in Lp-norm,we determine strongly asymptotic orders for the average errors of both function approximation and derivative approximation by the Bernstein operators sequence on the r-fold integrated Wiener space. | Guiqiao Xu | 2012 | Numerical Mathematics(Theory,Methods and Applications)2012，5，3： | 5 |
| 3 | Corrosion of carbon steel influenced by anaerobic biofilm in natural seawater显示文摘 | Jizhou Duan Suru Wu Xiaojun Zhang Guiqiao Huang Min Du Baorong Hou | 2008 | Electrochimica Acta2008，，1： | 3 |
| 4 | Sample Numbers and Optimal Lagrange Interpolation of Sobolev Spaces W_(1)^(r)显示文摘This paper investigates the optimal recovery of Sobolev spaces W_(1)^(r)[-1,1],r∈N in the space L_(1)[-1,1].They obtain the values of the sampling numbers of W_(1)^(r)[-1,1]in L_(1)[-1,1]and show that the Lagrange interpolation algorithms based on the extreme points of Chebyshev polynomials are optimal algorithms.Meanwhile,they prove that the extreme points of Chebyshev polynomials are optimal Lagrange interpolation nodes. | Guiqiao XU Zehong LIU Hui WANG | 2021 | Chinese Annals of Mathematics,Series B2021，42，4： | 3 |
| 5 | The Average Errors for Hermite Interpolation on the 1-Fold Integrated Wiener Space显示文摘For the weighted approximation in Lp-norm,the authors determine the weakly asymptotic order for the p-average errors of the sequence of Hermite interpolation based on the Chebyshev nodes on the 1-fold integrated Wiener space.By this result,it is known that in the sense of information-based complexity,if permissible information functionals are Hermite data,then the p-average errors of this sequence are weakly equivalent to those of the corresponding sequence of the minimal p-average radius of nonadaptive information. | Guiqiao XU Jingrui NING | 2012 | Chinese Annals of Mathematics,Series B2012，33，5： | 2 |
| 6 | Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent显示文摘We study the problem of a weighted integral of infinitely differentiable mul-tivariate functions defined on the unit cube with the L∞-norm of partial derivative of all orders bounded by 1.We consider the algorithms that use finitely many function values as information(called standard information).On the one hand,we obtained that the interpolatory quadratures based on the extended Chebyshev nodes of the second kind have almost the same quadrature weights.On the other hand,by using the Smolyak al-gorithm with the above interpolatory quadratures,we proved that the weighted integral problem is of exponential convergence in the worst case setting. | Guiqiao Xu Yongping Liu Jie Zhang | 2019 | Numerical Mathematics(Theory,Methods and Applications)2019，12，1： | 2 |
| 7 | The Extremal Properities of Multivariate Polynomials Splines显示文摘 | LIU Yongping Xu Guiqiao | 2001 | 中国科学2001，32，4： | 1 |
| 8 | Some extremal properties of multivariate cardinal spline显示文摘 | Xu Guiqiao Liu Yongping | 2000 | J BJ Nor Univ(Nat Sci)2000，36，5： | 1 |
| 9 | Simultaneous Approximation of Sobolev Classes by Piecewise Cubic Hermite Interpolation显示文摘For the approximation in L_(p)-norm,we determine the weakly asymptotic orders for the simultaneous approximation errors of Sobolev classes by piecewise cubic Hermite interpolation with equidistant knots.For p=1,∞,we obtain its values.By these results we know that for the Sobolev classes,the approximation errors by piecewise cubic Hermite interpolation are weakly equivalent to the corresponding infinite-dimensional Kolmogorov widths.At the same time,the approximation errors of derivatives are weakly equivalent to the corresponding infinite-dimensional Kolmogorov widths. | Guiqiao Xu Zheng Zhang | 2014 | Numerical Mathematics(Theory,Methods and Applications)2014，7，3： | 1 |
| 10 | The simultaneous approximation of quasi-Hermite interpolation on the weighted mean norm显示文摘 | Xu Guiqiao Cui Ren Wang Xin | 2009 | IJWMIP2009，7，6： | 1 |
| 11 | The Average Errors for Interpolation Polyno- mials on the 1-fold Integrated Wiener Space 显示文摘 | Xu Guiqiao | | Science0，，： | 1 |
| 12 | The Average Errors for Lagrange Interpolation on the Wiener space显示文摘 | Xu Guiqiao | | Science0，，： | 1 |
| 13 | Water Purification Capacity of Four Kinds of Aquatic Plants in the Upper Reaches of Luanhe River显示文摘Under artificially simulated conditions, the water purification effects of Lythrum salicaria, Typha minima, Scirpus validus, Iris wilsonii and their configurations were studied. The results showed that various aquatic plants and their configurations showed purification effects for total nitrogen(TN), nitrate nitrogen(NO_3^-), total phosphorus(TP), orthophosphate(PO_4^(3-)) and chemical oxygen demand(COD) in water body, and the purification effects of aquatic plant configurations were better than those of single ones. Regression analysis was conducted for dynamics of various water quality indicators. The removal rates of TN and COD within 50 d by the combination of L. salicaria and I. wilsonii were 73.83% and 77.4%, respectively, with the best purification effect; the removal rate of NO_3^- within 20 d by the combination of S. validus and I. wilsonii was 89.41%; and the combination of S. validus and I. wilsonii showed the best removal effect for TP and PO43-, of which the 50-d removal rates were 88.98% and 92.39%, respectively. Reasonable choice of local aquatic plants and their optimal combinations can be applied in the improvement of water quality of rivers. | YUAN Wenge ZHENG Jianwei GU Jiancai LU Guiqiao YU Xinxiao | 2018 | Journal of Landscape Research2018，10，6： | 0 |
| 14 | Evaluation and Selection of Introduced Tree Species in the Beijing-Tianjin Corridor显示文摘Based on the extensive analysis of natural and social conditions,regional development,and characteristics of tree species in the Beijing-Tianjin corridor,a comprehensive evaluation index system that consists of A,B,C,D layers was established for introduced tree species.Nine local representative introduced tree species were evaluated using the analytic hierarchy process(AHP).The results showed that Platanus orientalis,Quercus mongolicus,and Zizyphusjujube performed better comprehensively and were recommended as the dominant introduced tree species in the Beijing-Tianjin corridor.Other representative introduced tree species should be appropriately developed in the region.Main factors that should be taken into account for introduced tree species including drought tolerance,wintering habit,growth rate,leanness tolerance,pollution tolerance,saline tolerance,and disease resistance. | YUAN Wenge ZHENG Jianwei GU Jiancai LU Guiqiao GAO Qiuhua | 2018 | Journal of Landscape Research2018，10，5： | 0 |
| 15 | Analysis of the Dynamic System of Wave Glider with a Towed Body显示文摘Mobile observation platforms are widely used in oceanographic and marine resource exploration and other applications. Wave Glider is a mobile platform that can transform wave energy into locomotion power and overcome the bottleneck of low energy supply. Wave Glider has recently been applied to tow underwater sensors fulfilling observation tasks. In this paper, the dynamic system of Wave Glider with a towed body is studied by applying multibody mechanics, and the relevant motion conditions of the system are investigated. Dynamic models of Wave Glider with a towed body and tether are first developed individually and then integrated into a whole model. The numerical method is used to obtain the dynamic responses and assess performance of the towed body pulled by the submerged glider of Wave Glider. The effects of sea state, mass of the towed body, and length of the towed cable are investigated on the basis of simulation results. This work can be used for the design and analysis of Wave Glider-towed body systems. | ZHANG Jiakun CHANG Zongyu LU Guiqiao ZHENG Zhongqiang ZHANG Zhonglin | 2020 | Journal of Ocean University of China2020，19，3： | 0 |
| 16 | Research on depositing Ni45 alloy on titanium alloy surface by electrospark deposition显示文摘Taking Ni45 bar as electrode,a strengthened layer of thickness up to 50μm was built up on BT20 titanium alloy matrix by means of electrospark deposition.Results of phase analysis by using of X-ray diffraction confirmed that the deposition layer was composed mostly of three phases,NiTi,NiTi2 and Ti.The surface microhardness of the deposition layer was up to 910 HV0.05,about 2.7 times as high as that of the matrix.The hardness at the cross-section of the entire deposition layer showed a gradient distribution.The effects of capacitance and deposition time on thickness of deposition layer were also studied,and results showed that with relatively low capacity and short deposition time the deposition layer without cracks can be obtained. | You Tao Zhang Chunhui Su Guiqiao Yan Ping | 2008 | China Foundry2008，5，4： | 0 |
| 17 | Optimal Lagrange Interpolation of a Class of Infinitely Differentiable Functions显示文摘This paper investigates the optimal Lagrange interpolation of a class F∞of infinitely differentiable functions on[-1,1]in L_(∞)[-1,1]and weighted spaces L_(p,ω)[-1,1],1≤p<∞withωa continuous integrable weight function in(-1,1).We proved that the Lagrange interpolation polynomials based on the zeros of polynomials with the leading coefficient 1 of the least deviation from zero in L_(p,ω)[-1,1]are optimal for 1≤p<∞.We also give the optimal Lagrange interpolation nodes when the endpoints are included in the nodes. | Mengjin MA Hui WANG Guiqiao XU | 2021 | Journal of Mathematical Research with Applications2021，41，6： | 0 |
| 18 | Categorized Analysis of Forest Ecological Values in the China’s Conversion Cropland to Forest Program显示文摘The China’s Conversion Cropland to Forest Program(CCFP)is one of the largest national ecological construction programs,which has effectively improved ecological environment and produced large ecological benefi t.To provide references for further improving ecological benefi t of CCFP,we analyzed the features,differences and relationships of the categorized forest ecological“benefi t value”(B-V)s in 3 kinds of forest restoration ways in different regions in CCFP,using the data of Chinese Forest Ecosystem Research Network(CFERN)from 1999 to 2013 and the methods of the national standards of(LY/T1606-2003),(LY/T1721-2008)and(LY/T1952-2011).The result showed that annual B-Vs of unit area varied in the range of 3.5-10.0 e4 RMBs/hm2·a.Water conservation B-Vs and species conservation B-Vs are the 2 largest constituents,nutrient accumulation B-V was the least in total B-Vs.The B-Vs performed inconsistently among the forest restoration ways and different regions.The rank of average annual total B-Vs of unit area from high to low was“hillside forest conservation”,“returning cropland to forest”,“afforestation on suitable barren hills and wasteland”.Species conservation B-Vs and water conservation B-Vs in southern regions were higher than that of northern and northwestern regions in China.The hot and rainy regions could produce higher species conservation B-Vs.The regression analysis indicated that water conservation B-Vs had signifi cantly positive correlation with the relevant total B-Vs and positive correlation with the relevant atmosphere purification B-Vs whether in regional or in unit area scale.Unit area species conservation B-V was negatively correlated with the relevant nutrient accumulation B-Vs except the way of“afforestation on suitable barren hills and wasteland”.Regional total species conservation B-Vs had signifi cantly negative correlation with its relevant nutrient accumulation B-Vs except“hillside forest conservation”way.We suggest that suitable forest restoration ways must be selective according to the regional specifi c,B-V features and local ecological goals. | RONG Yanju YUAN Wenge GU Jiancai LU Guiqiao ZHENG Jianwei WEN Zhehua | 2020 | Journal of Landscape Research2020，12，6： | 0 |
| 19 | Removal of kathon by UV-C activated hydrogen peroxide:Kinetics,mechanisms,and enhanced biodegradability assessment显示文摘Kathon(CMI-MI),a mixture of 5-chloro-2-methyl-4-isothiazolin-3-one(CMI)and 2-methyl-4-isothiazolin-3-one(MI),was extensively used in industry as a nonoxidizing biocide or disinfectant.However,it would show adverse effects on aquatic life when it is discharged into surface water.In this study,the removal performance,parameter influence,degradation products and enhancement of subsequent biodegradation of CMI-MI in UV/H_(2)O_(2)system were systematically investigated.The degradation rate of CMI-MI could reach 90%under UV irradiation for 20 min when the dosage of H_(2)O_(2)was 0.3 mmol·L^(–1).The DOC(dissolved organic carbon)mineralization rate of CMI-MI could reach 35%under certain conditions([H_(2)O_(2)]=0.3 mmol·L^(–1),UV irradiation for 40 min).kobs was inversely proportional to the concentration of CMI-MI and proportional to the concentration of H_(2)O_(2).The degradation rate of CMIMI was almost unchanged in the pH range from 4 to 10.Except the presence of CO_(3)^(2-)inhibited the removal rate of CMI-MI,SO_(4)^(2-),Cl^(-),NO_(3)^(-),and NH_(4)^(+) did not interfere with the degradation of CMI-MI in the system.It was found that UV/H_(2)O_(2)system had lower energy consumption and more economic advantage compared with UV/PS system by comparing the EEO(electric energy per order)values under the same conditions.Two main organic products were identified,namely HCOOH and CH_(3)NH_(2).There’s also the formation of Cl^(-)and SO_(4)^(2-).After UV and UV/H_(2)O_(2)photolysis,the biochemical properties of CMI-MI solution were obviously improved,especially the UV/H_(2)O_(2)treatment effect was better,indicating that UV/H_(2)O_(2)technology is expected to combine with biotechnology to remove CMI-MI effectively and environmentally friendly from wastewater. | Jinzhi Cui Guiqiao Wang Xing Rong Wensu Gao Yaxin Lu Yawen Luo Lichao Zhang Zhongfa Cheng Canzhu Gao | 2024 | Chinese Journal of Chemical Engineering2024，65，1： | 0 |
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