26-XX
|
Real functions
[See also
54C30]
|
26-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
26-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
26-02
|
Research exposition (monographs, survey articles)
|
26-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
26-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
26-06
|
Proceedings, conferences, collections, etc.
|
26Axx
|
Functions of one variable
|
26A03
|
Foundations: limits and generalizations, elementary topology of the line
|
26A06
|
One-variable calculus
|
26A09
|
Elementary functions
|
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 (H\"older) 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]
|
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
|
26Bxx
|
Functions of several variables
|
26B05
|
Continuity and differentiation questions
|
26B10
|
Implicit function theorems, Jacobians, transformations with several variables
|
26B12
|
Calculus of vector functions
|
26B15
|
Integration: length, area, volume
[See also
28A75,
51M25]
|
26B20
|
Integral formulas (Stokes, Gauss, Green, etc.)
|
26B25
|
Convexity, generalizations
|
26B30
|
Absolutely continuous functions, functions of bounded variation
|
26B35
|
Special properties of functions of several variables, H\"older conditions, etc.
|
26B40
|
Representation and superposition of functions
|
26B99
|
None of the above, but in this section
|
26Cxx
|
Polynomials, rational functions
|
26C05
|
Polynomials: analytic properties, etc.
[See also
12Dxx,
12Exx]
|
26C10
|
Polynomials: location of zeros
[See also
12D10,
30C15,
65H05]
|
26C15
|
Rational functions
[See also
14Pxx]
|
26C99
|
None of the above, but in this section
|
26Dxx
|
Inequalities
{For maximal function inequalities, see
42B25;
for functional inequalities, see
39B72;
for probabilistic inequalities, see
60E15}
|
26D05
|
Inequalities for trigonometric functions and polynomials
|
26D07
|
Inequalities involving other types of functions
|
26D10
|
Inequalities involving derivatives and differential and integral operators
|
26D15
|
Inequalities for sums, series and integrals
|
26D20
|
Other analytical inequalities
|
26D99
|
None of the above, but in this section
|
26Exx
|
Miscellaneous topics
[See also
58Cxx]
|
26E05
|
Real-analytic functions
[See also
32B05,
32C05]
|
26E10
|
Cinfty-functions, quasi-analytic functions
[See also
58C25]
|
26E15
|
Calculus of functions on infinite-dimensional spaces
[See also
46G05,
58Cxx]
|
26E20
|
Calculus of functions taking values in infinite-dimensional spaces
[See also
46E40,
46G10,
58Cxx]
|
26E25
|
Set-valued functions
[See also
28B20,
54C60]
{For nonsmooth analysis, see
49J52,
58Cxx,
90Cxx}
|
26E30
|
Non-Archimedean analysis
[See also
12J25]
|
26E35
|
Nonstandard analysis
[See also
03H05,
28E05,
54J05]
|
26E40
|
Constructive real analysis
[See also
03F60]
|
26E50
|
Fuzzy real analysis
[See also
03E72,
28E10]
|
26E60
|
Means
[See also
47A64]
|
26E99
|
None of the above, but in this section
|