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  • 41-XX Approximations and expansions
  • 41Axx Approximations and expansions
  • 41A28 Simultaneous approximation

41Axx Approximations and expansions

  • 41A05 Interpolation
  • 41A10 Approximation by polynomials
  • 41A15 Spline approximation
  • 41A17 Inequalities in approximation (Bernstein, Jackson, Nikolʹskiĭ-type inequalities)
  • 41A20 Approximation by rational functions
  • 41A21 Padé approximation
  • 41A25 Rate of convergence, degree of approximation
  • 41A27 Inverse theorems
  • 41A28 Simultaneous approximation
  • 41A29 Approximation with constraints
  • 41A30 Approximation by other special function classes
  • 41A35 Approximation by operators (in particular, by integral operators)
  • 41A36 Approximation by positive operators
  • 41A40 Saturation
  • 41A44 Best constants
  • 41A45 Approximation by arbitrary linear expressions
  • 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
  • 41A50 Best approximation, Chebyshev systems
  • 41A52 Uniqueness of best approximation
  • 41A55 Approximate quadratures
  • 41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
  • 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
  • 41A63 Multidimensional problems (should also be assigned at least one other classification number in this section)
  • 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
  • 41A80 Remainders in approximation formulas
  • 41A99 None of the above, but in this section
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Voronovskaja's theorem and the exact degree of approximation for the derivatives of complex Riesz–Zygmund means.

Gal, Sorin G. (2008)

General Mathematics

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