26Axx

 22 | 26 | 26B

Functions of one variable

26A03Foundations: limits and generalizations, elementary topology of the line
26A06One-variable calculus
26A09Elementary functions
26A12Rate of growth of functions, orders of infinity, slowly varying functions
[See also 26A48]
26A15Continuity 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}
26A16Lipschitz (Hölder) classes
26A18Iteration
[See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25]
26A21Classification of real functions; Baire classification of sets and functions
[See also 03E15, 28A05, 54C50]
26A24Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems
[See also 28A15]
26A27Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A30Singular functions, Cantor functions, functions with other special properties
26A33Fractional derivatives and integrals
26A36Antidifferentiation
26A39Denjoy and Perron integrals, other special integrals
26A42Integrals of Riemann, Stieltjes and Lebesgue type
[See also 28-XX]
26A45Functions of bounded variation, generalizations
26A46Absolutely continuous functions
26A48Monotonic functions, generalizations
26A51Convexity, generalizations
26A99None of the above, but in this section