We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

給出了n維空間中s(1≤s≤n)個代數(shù)超曲面充分相交的概念禁看网站，證明了n元m次多項式空間Pm在充分相交的代數(shù)流形S=s(f1国内一级婬片A片免费看，…， fs)（f1=0′欧美日韓性愛視頻在線免費看，…av天堂中文无码， fs=0表示s個代數(shù)超曲面）上的維數(shù)，并利用倒差分算子給出一個方便計算的表達式欧美三级视频久久网；構(gòu)造了沿代數(shù)流形上插值適定結(jié)點組的疊加插值法狼友视频A级毛片；證明了在充分相交的代數(shù)流形上任意次插值適定結(jié)點組的存在性；給出代數(shù)流形上插值適定結(jié)點組的性質(zhì)和判定條件亚洲色视频A片。

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分別給出了基于第一類Chebyshev多項式零點的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重積分Wiener空間下的平均誤差的值国内外自拍偷拍视频。

In this paper ,on one hand ,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space),on the other hand,we discuss the asymptotically order for the average error of Lagrange interpolation sequence, Hermite-Fejer interpolation sequence and Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

本文一方面確定了經(jīng)典的Bernstein多項式算子列逼近函數(shù)時在Wiener空間(或1-重積分Wiener空間)下的平均誤差的弱漸近階插女人网站；另一方面確定了基于第一類Chebyshev多項式零點的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重積分Wiener空間下的平均誤差的弱漸近階碰人人人人人青草碱。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中AⅤ在线直接免费看，對于H_0~1中的有界線性算子，用微分算子插值樣條函數(shù)的方法給出了H_0~1空間中的再生核中文字幕第一页第二页第三，利用此再生核給出了H_0~1上的有界線性算子的最佳逼近的表達形式亚洲国产精品狼友，并證明了其收斂性。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

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Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次亚洲国产欧洲日本综合，應(yīng)用鞅變換和構(gòu)造凸或凹函數(shù)方法證明了標(biāo)量值可料樹鞅的α-方極大算子和α-條件方極大算子的擬范數(shù)不等式；然后99精品在线免费观看，在這些擬范數(shù)不等式的基礎(chǔ)上插的太舒服在线视频，應(yīng)用Hardy-Lorentz空間插值方法證明了當(dāng)樹鞅是可控或正規(guī)樹鞅時關(guān)于標(biāo)量值可料樹鞅α-方極大算子和α-條件方極大算子的Burkholder-Davis-Gundy's不等式成立。

In image processing, method as follows will be introduced in this paper: a method combining image threshold iterative segmentation with threshold interpolation, edge detection operator Sobel and LoG, edge linking method using delation operator based on mathematical morphology, using boundary tracking and projection method in edge distill process. Through this method, measurement of wheelset will be met precision demand.

本文闡明了圖像的分通道自動采集過程亚洲天天在线看视频，以及對采集到的原始圖像進行預(yù)處理過程国产在线小视频欧美看大片，達到圖像去噪聲的目標(biāo)，本課題采用了閾值分割中迭代閾值和閾值插值相結(jié)合的方法91性色在线观看www免费，Sobel算子国产一级a爱看片免费视频、LoG算子邊緣檢測算法，基于數(shù)學(xué)形態(tài)學(xué)的膨脹運算子進行邊緣斷點連接以及目標(biāo)提取中的投影法和邊緣跟蹤方法免费视频久久，使得提取輪對圖像邊緣達到測量精度的要求美女黄18以下禁止免费看。

As to how to avoid weaknesses of these two operators, scholars have made unremitting efforts. One of the most famous is the French mathematician Sablonniere P, who introduced and studied a kind of new quasi-Bernstein interpolation operators in 1992. This kind of operators have given dual attention to the Lagrange operator and the Bernstein operator merit, and have avoided the twos deficiency.

對于這兩種算子如何揚長避短，學(xué)者們做了不懈努力欧美特黄特级作爱大片亚洲性人人，其中最為著名的是法國數(shù)學(xué)家Sablonniere P国产性受XXXX白人性爽，他于1992年引入并研究了一種新的擬Bernstein插值算子B上標(biāo)(k 下標(biāo) n，亚洲黄片多人免费，這是一類介于Lagrange算子與Bernstein算子之間的擬插值算子偷拍偷窥第一页，這類算子兼顧了Lagrange算子與Bernstein算子的優(yōu)點，克服了二者的不足大陆强奸乱伦毛片。

Fourthly,in the UMD spaces,the tree martingale transforms and their maximaloperators are defined,and then based on the geometrical property of UMD spaces andcombining new interpolation techniques of Hardy-Lorentz spaces,the inequality ofUMD space valued tree martingale transform maximal operators is obtained.

然后先锋影音最新av资源网址，在UMD空間中，我們定義了樹鞅鞅變換及其極大算子视频黄页在线播放免费，并用UMD空間幾何性質(zhì)和Hardy-Lorentz空間的算子插值理論證明了UMD空間值樹鞅鞅變換的極大算子不等式av官方免费网站。

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通過我們的結(jié)果可以知道，基于第一類Chebyshev多項式零點的Lagrange插值算子列和Hermite插值算子列在1-重積分Wiener空間下的平均誤差弱等價于相應(yīng)的最佳逼近多項式在1-重積分Wiener空間下的平均誤差久草精品视频播放，并且作為形式簡單且恢復(fù)函數(shù)為多項式的一種信息基算法欧美aaaⅤ西西在线，其在1-重積分Wiener空間下的平均誤差弱等價于相應(yīng)的以函數(shù)值計算為可允許信息算子的最小平均信息半徑。

central difference notation：中心差分記法

central difference interpolation 中心差分插值法 | central difference notation 中心差分記法 | central difference operator 中心差分算子

interpolation method：插值法

interpolation function 插值函數(shù) | interpolation method 插值法 | interpolation of operators 算子插值

interpolation of operators：算子插值

插值公式 interpolation formula | 算子插值 interpolation of operators | 插值問題 interpolation problem

interpolation polynomial：插值多項式

interpolation of operators 算子插值 | interpolation polynomial 插值多項式 | interpolation problem 插值問題

interpolation problem：插值問題

算子插值 interpolation of operators | 插值問題 interpolation problem | 插值求積公式 interpolation quadrature formula