Mizar Web>MathematicsSubjectClassification>26>26A (2010-08-17, BorisSchminke)EditAttach

26A Functions of one variable

Section			P
26A03	Foundations: limits and generalizations, elementary topology of the line		6
26A06?	One-variable calculus
26A09	Elementary functions		2
26A12?	Rate of growth of functions, orders of infinity, slowly varying functions	See also 26A48
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
26A16?	Lipschitz (Hölder) classes
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
26A24	Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems	See also 28A15	11
26A27?	Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A30?	Singular functions, Cantor functions, functions with other special properties
26A33?	Fractional derivatives and integrals
26A36?	Antidifferentiation
26A39?	Denjoy and Perron integrals, other special integrals
26A42?	Integrals of Riemann, Stieltjes and Lebesgue type	See also 28-xx
26A45?	Functions of bounded variation, generalizations
26A46?	Absolutely continuous functions
26A48?	Monotonic functions, generalizations
26A51?	Convexity, generalizations
26A99	None of the above, but in this section		10

P = Primary classification

S = Secondary classification

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Topic revision: r5 - 2010-08-17 - 12:14:19 - BorisSchminke

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