26-XX 
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Real functions
[See also
54C30 ]
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26-00
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General reference works (handbooks, dictionaries, bibliographies, etc.)
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26-01
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Instructional exposition (textbooks, tutorial papers, etc.)
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26-02
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Research exposition (monographs, survey articles)
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26-03
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Historical {!must also be assigned at least one classification number from section 01}
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26-04
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Explicit machine computation and programs (not the theory of computation or programming)
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26-06
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Proceedings, conferences, collections, etc.
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26Axx
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Functions of one variable
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26A03
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Foundations: limits and generalizations, elementary topology of the line
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26A06
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One-variable calculus
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26A09
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Elementary functions
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26A12
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Rate of growth of functions, orders of infinity, slowly varying functions
[See also
26A48 ]
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26A15
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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 }
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26A16
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Lipschitz (H\"older) classes
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26A18
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Iteration
[See also
37Bxx ,
37Cxx ,
37Exx ,
39B12 ,
47H10 ,
54H25 ]
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26A21
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Classification of real functions; Baire classification of sets and functions
[See also
03E15 ,
28A05 ,
54C50 ]
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26A24
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Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems
[See also
28A15 ]
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26A27
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Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
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26A30
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Singular functions, Cantor functions, functions with other special properties
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26A33
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Fractional derivatives and integrals
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26A36
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Antidifferentiation
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26A39
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Denjoy and Perron integrals, other special integrals
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26A42
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Integrals of Riemann, Stieltjes and Lebesgue type
[See also
28-XX ]
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26A45
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Functions of bounded variation, generalizations
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26A46
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Absolutely continuous functions
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26A48
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Monotonic functions, generalizations
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26A51
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Convexity, generalizations
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26A99
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None of the above, but in this section
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26Bxx
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Functions of several variables
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26B05
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Continuity and differentiation questions
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26B10
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Implicit function theorems, Jacobians, transformations with several variables
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26B12
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Calculus of vector functions
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26B15
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Integration: length, area, volume
[See also
28A75 ,
51M25 ]
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26B20
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Integral formulas (Stokes, Gauss, Green, etc.)
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26B25
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Convexity, generalizations
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26B30
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Absolutely continuous functions, functions of bounded variation
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26B35
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Special properties of functions of several variables, H\"older conditions, etc.
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26B40
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Representation and superposition of functions
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26B99
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None of the above, but in this section
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26Cxx
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Polynomials, rational functions
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26C05
|
Polynomials: analytic properties, etc.
[See also
12Dxx ,
12Exx ]
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26C10
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Polynomials: location of zeros
[See also
12D10 ,
30C15 ,
65H05 ]
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26C15
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Rational functions
[See also
14Pxx ]
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|
26C99
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None of the above, but in this section
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26Dxx
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Inequalities
{For maximal function inequalities, see
42B25 ;
for functional inequalities, see
39B72 ;
for probabilistic inequalities, see
60E15 }
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26D05
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Inequalities for trigonometric functions and polynomials
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26D07
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Inequalities involving other types of functions
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26D10
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Inequalities involving derivatives and differential and integral operators
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26D15
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Inequalities for sums, series and integrals
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26D20
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Other analytical inequalities
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26D99
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None of the above, but in this section
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26Exx
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Miscellaneous topics
[See also
58Cxx ]
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26E05
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Real-analytic functions
[See also
32B05 ,
32C05 ]
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26E10
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$C^\infty$-functions, quasi-analytic functions
[See also
58C25 ]
|
|
26E15
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Calculus of functions on infinite-dimensional spaces
[See also
46G05 ,
58Cxx ]
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26E20
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Calculus of functions taking values in infinite-dimensional spaces
[See also
46E40 ,
46G10 ,
58Cxx ]
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26E25
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Set-valued functions
[See also
28B20 ,
54C60 ]
{For nonsmooth analysis, see
49J52 ,
58Cxx ,
90Cxx }
|
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26E30
|
Non-Archimedean analysis
[See also
12J25 ]
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26E35
|
Nonstandard analysis
[See also
03H05 ,
28E05 ,
54J05 ]
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26E40
|
Constructive real analysis
[See also
03F60 ]
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26E50
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Fuzzy real analysis
[See also
03E72 ,
28E10 ]
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26E60
|
Means
[See also
47A64 ]
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26E99
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None of the above, but in this section
|