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Mathematical Sciences Classification System

26-06 26-XX 26Bxx

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