Titlebook: Mathematics of Approximation; Johan Villiers Textbook 2012 Atlantis Press 2012 Best approximation.Fourier series.Polynomial approximation.

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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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