Mathematical Sciences Classification System

26Axx - Functions of one variable

  • 3
    26A03
    Foundations: limits and generalizations, elementary topology of the line
  • 3
    26A06
    One-variable calculus
  • 1
    26A09
    Elementary functions
  • 2
    26A12
    Rate of growth of functions, orders of infinity, slowly varying functions [See also 26A48]
  • 2
    26A15
    Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27}
  • 6
    26A16
    Lipschitz (Hölder) classes
  • 3
    26A18
    Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25]
  • 26A21
    Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]
  • 5
    26A24
    Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]
  • 2
    26A27
    Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
  • 1
    26A30
    Singular functions, Cantor functions, functions with other special properties
  • 45
    26A33
    Fractional derivatives and integrals
  • 3
    26A36
    Antidifferentiation
  • 26
    26A39
    Denjoy and Perron integrals, other special integrals
  • 18
    26A42
    Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX]
  • 7
    26A45
    Functions of bounded variation, generalizations
  • 4
    26A46
    Absolutely continuous functions
  • 2
    26A48
    Monotonic functions, generalizations
  • 11
    26A51
    Convexity, generalizations
  • 26A99
    None of the above, but in this section

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