About: Approximations and expansions

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Approximation in the complex domain Trigonometric interpolation Numerical approximation and computational geometry (primarily algorithms)
skos:inScheme	MSC 2010
broader concept	Approximations and expansions
narrower concept	Interpolation Approximation by polynomials Spline approximation Inequalities in approximation (Bernstein, Jackson, Nikol'skiÄ-type inequalities) Approximation by rational functions PadÃ© approximation Rate of convergence, degree of approximation Inverse theorems Simultaneous approximation Approximation with constraints Approximation by other special function classes Approximation by operators (in particular, by integral operators) Approximation by positive operators Saturation Best constants Approximation by arbitrary linear expressions Approximation by arbitrary nonlinear expressions; widths and entropy Best approximation, Chebyshev systems Uniqueness of best approximation Approximate quadratures Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) Multidimensional problems (should also be assigned at least one other classification number in this section) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Remainders in approximation formulas None of the above, but in MSC2010 section 41Axx
skos:prefLabel	Approximations and expansions 逼近与展开(所有复域中的逼近论, 见30E05和30E10; 所有三角逼近与插值, 见42A10和42A15; 数值逼近, 见65Dxx)
skos:altLabel	Approximations and expansions {For all approximation theory in the complex domain see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx}
http://msc2010.org...#seeConditionally	Approximation in the complex domain Trigonometric interpolation Numerical approximation and computational geometry (primarily algorithms)
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/41Axx-to-30E10-seeFor http://msc2010.org/resources/MSC/2010/41Axx-to-42A15-seeFor http://msc2010.org/resources/MSC/2010/41Axx-to-65Dxx-seeFor
skos:notation	41Axx
skos:note	For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx.
skos:relatedMatch	http://msc2010.org/resources/MSC/2000/41-XX
skos:semanticRelation	Approximation in the complex domain Trigonometric interpolation Numerical approximation and computational geometry (primarily algorithms)
is broader concept of	Interpolation Approximation by polynomials Spline approximation Inequalities in approximation (Bernstein, Jackson, Nikol'skiÄ-type inequalities) Approximation by rational functions PadÃ© approximation Rate of convergence, degree of approximation Inverse theorems Simultaneous approximation Approximation with constraints Approximation by other special function classes Approximation by operators (in particular, by integral operators) Approximation by positive operators Saturation Best constants Approximation by arbitrary linear expressions Approximation by arbitrary nonlinear expressions; widths and entropy Best approximation, Chebyshev systems Uniqueness of best approximation Approximate quadratures Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) Multidimensional problems (should also be assigned at least one other classification number in this section) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Remainders in approximation formulas None of the above, but in MSC2010 section 41Axx
is narrower concept of	Approximations and expansions
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/41Axx-to-30E10-seeFor http://msc2010.org/resources/MSC/2010/41Axx-to-42A15-seeFor http://msc2010.org/resources/MSC/2010/41Axx-to-65Dxx-seeFor

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