Fields / 41 / 41A MSC2020 · 41Axx
Approximations and expansions Approximations and expansions \{For approximation theory in the complex domain, see 30E05, 30E10; for trigonometric approximation and interpolation, see 42A10, 42A15; for numerical approximation, see 65Dxx\}
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Subcategories 41A05 Interpolation in approximation theory 0 41A10 Approximation by polynomials 0 41A15 Spline approximation 0 41A17 Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) 0 41A20 Approximation by rational functions 0 41A21 Padé approximation 0 41A25 Rate of convergence, degree of approximation 0 41A27 Inverse theorems in approximation theory 0 41A28 Simultaneous approximation 0 41A29 Approximation with constraints 0 41A30 Approximation by other special function classes 0 41A35 Approximation by operators (in particular, by integral operators) 0 41A36 Approximation by positive operators 0 41A40 Saturation in approximation theory 0 41A44 Best constants in approximation theory 0 41A45 Approximation by arbitrary linear expressions 0 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy 0 41A50 Best approximation, Chebyshev systems 0 41A52 Uniqueness of best approximation 0 41A55 Approximate quadratures 0 41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) 0 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 0 41A63 Multidimensional problems 0 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 0 41A80 Remainders in approximation formulas 0 41A81 Weighted approximation 0 41A99 Approximations and expansions 0 Mapped problems No published problems have been assigned to this subject yet. Related articles below are a starting point for review.
Journals & articles in MSC 41 These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
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