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Mathematical Sciences Classification System

26Axx - Functions of one variable

• 4
  26A03
  Foundations: limits and generalizations, elementary topology of the line
• 3
  26A06
  One-variable calculus
• 1
  26A09
  Elementary functions
• 3
  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}
• 7
  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]
• 6
  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
• 48
  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
• 3
  26A48
  Monotonic functions, generalizations
• 13
  26A51
  Convexity, generalizations
• 26A99
  None of the above, but in this section