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  • 41-XX Approximations and expansions
  • 41Axx Approximations and expansions
  • 41A30 Approximation by other special function classes

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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Полигональная аппроксимация функций двух переменных

К.И. Осколков (1978)

Matematiceskij sbornik

Равномерная аппроксимация решения эллиптических систем

Н.Н. Тарханов (1987)

Matematiceskij sbornik

Точные неравенства для колебаний гармонических и бигармонических в круге функций

В.Н. Трофимов, А.С. Цыганков (1969)

Sibirskij matematiceskij zurnal

Точный порядок наилучшего равномерного приближения выпуклых функций рациональными функциями

В.А. Попов, П.П. Петрушев (1977)

Matematiceskij sbornik

Экспоненциальные полиномы, наименее уклоняющииеся от нуля, и оптимальные квадратурные формулы

М.А. Чахкиев (1983)

Matematiceskij sbornik

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