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標題: Titlebook: Mathematics of Approximation; Johan Villiers Textbook 2012 Atlantis Press 2012 Best approximation.Fourier series.Polynomial approximation. [打印本頁]

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書目名稱Mathematics of Approximation讀者反饋學科排名





作者: 誰在削木頭    時間: 2025-3-21 23:09
Johan de Villiersphysically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers con978-3-528-08098-3978-3-322-87869-4Series ISSN 1612-2909 Series E-ISSN 1860-0824
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Polynomial Interpolation Formulas,e sample set of distinct points inthe domain of f , if P is obtained to satisfy the condition that P agrees with f on the sampleset. The objective of this chapter is to establish a fundamental existence and uniquenessresult for polynomial interpolation as well as to derive explicit formulations of t
作者: 誘騙    時間: 2025-3-22 08:59
Polynomial Uniform Convergence,rors converges uniformly to zero on .. In this chapter, we first show that such convergence is not guaranteed in the case that the polynomials are constructed to interpolate . on some sequence of equally-spaced sample point sets with cardinalities increasing to infinity.
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Spline Approximation,esirable approximation accuracy by increasing the polynomial degrees, at the expense of increasing computational complexity and undesirable features, such as increase in oscillation of the polynomial approximant. To avoid the increase of polynomial degrees, this chapter is devoted to the study of ap
作者: Delude    時間: 2025-3-22 22:46
Johan de Villiers two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the w
作者: LUT    時間: 2025-3-23 04:23
Spline Approximation,such as increase in oscillation of the polynomial approximant. To avoid the increase of polynomial degrees, this chapter is devoted to the study of approximation by piecewise polynomials with fixed degrees, while achieving arbitrarily desirable approximation accuracy by allowing the decrease in spacing of the break-points of the polynomial pieces.
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2213-0853 ults,in particular those on local spline interpolation, and The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an intr
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Approximation Operators,In this chapter, we proceed to consider a more general point of view by introducing the concept of approximation operators . defined on a normed linear space and study various properties of . and the norm of the error function ..
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Best Uniform Polynomial Approximation,This chapter is a continuation of Chapter 4, in that the best uniform polynomial approximation . with existence of . guaranteed by Theorem 4.1.2, will be characterized in terms of the alternation properties of the error function . As an application, the uniqueness of . as the only best uniform polynomial approximant of . is assured
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Johan VilliersPrerequisites of only calculus and linear algebra.Self-contained and rigorous treatment of the mathematics of approximation.Includes new results,in particular those on local spline interpolation, and
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Mathematics Textbooks for Science and Engineeringhttp://image.papertrans.cn/m/image/626926.jpg
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Polynomial Uniform Convergence,rors converges uniformly to zero on .. In this chapter, we first show that such convergence is not guaranteed in the case that the polynomials are constructed to interpolate . on some sequence of equally-spaced sample point sets with cardinalities increasing to infinity.
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作者: prosperity    時間: 2025-3-26 03:03
Reproduction of reef fishery species,developed to produce the composite structure which include integrally stiffened, cocured and elastomeric molding cocured (EMC) techniques. The results of the payoff assessment show that the composite structure weighs 17–46 percent less than the baseline aluminum design. Design development tests on a
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Sebastian Brand,Gregory J. Duck,Jakob Puchinger,Peter J. Stuckeyovering an area of about 7.5 million hectares. The recent diffusion of olive outside its traditional area of cultivation, the Mediterranean basin, together with a continuous trend in the modernisation of its industry, has greatly increased in recent years the demand for improved cultivars by olive g
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作者: 種植,培養(yǎng)    時間: 2025-3-27 03:40
A Local Graph Partitioning Algorithm Using Heat Kernel Pagerankductance) ., we show that there are at least a quarter of the vertices in . that can serve as seeds for heat kernel pagerank which lead to local cuts with Cheeger ratio at most ., improving the previously bound by a factor of ..
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Competition Assessment in the USe impact on competition through appropriate regulatory design at the earlier regulation-making stage because the impact of various regulations on the competitive landscape varies greatly depending on institutional design. We show the importance of this using several examples of competition analysis.
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1615-1844 ys and metallic compounds. The amount of information available in this field is so substantial that several subvolumes are needed to cover it all. The first subvolumes treat the intrinsic magnetic properties, i. e. those magnetic properties which depend only on the chemical composition and the cryst
作者: Supplement    時間: 2025-3-28 03:24
Introduction,ses, and particular assemblages of actors, make it more or less likely that public decision-making will create public value? This Introduction provides a conceptual framework for the volume and briefly summarizes how the chapter authors approach one or more of the volume’s animating questions.
作者: 媒介    時間: 2025-3-28 10:01
Nonlinear Optics with Photonic-Crystal Fibrescal cycles (several femtoseconds) within a broad range of peak powers from hundreds of watts to several gigawatts. In new fibre lasers, microstructure fibres provide a precise balance of dispersion within a broad spectral range, allowing the creation of compact all-fibre sources of high-power ultrashort light pulses.
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Die zwei H?lften des Lebensassermassen über das kleine Schiff. Da fragte der Mullah den Schulmeister: ?Hast du jemals in diesem Leben Schwimmen gelernt?“ Der Schulmeister antwortete: ?Nein, warum sollte ich denn Schwimmen lernen?“ Breit grinsend gab ihm der Mullah zur Antwort: ?Damit ist jetzt dein ganzes Leben vergeudet, den
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