Mathematics Subject Classification 1991

26-XX Real functions, See also {54C30} ( 0 Dok.)

• 26-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 26-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 26-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 26-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 26-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 26-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 26Axx Functions of one variable ( 0 Dok. )
• 26A03 Foundations: limits and generalizations, elementary topology of the line ( 0 Dok.)
• 26A06 One-variable calculus ( 0 Dok.)
• 26A09 Elementary functions ( 0 Dok.)
• 26A12 Rate of growth of functions, orders of infinity, slowly varying functions, See also {26A48} ( 0 Dok.)
• 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} ( 0 Dok.)
• 26A16 Lipschitz (Holder) classes ( 0 Dok.)
• 26A18 Iteration, See also {39B12, 47H10, 54H25, 58F08, 58F13} ( 0 Dok.)
• 26A21 Classification of real functions; Baire classification of sets and functions, See also {04A15, 28A05, 54C50} ( 0 Dok.)
• 26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems, See also {28A15} ( 0 Dok.)
• 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives ( 0 Dok.)
• 26A30 Singular functions, Cantor functions, functions with other special properties ( 0 Dok.)
• 26A33 Fractional derivatives and integrals ( 0 Dok.)
• 26A36 Antidifferentiation ( 0 Dok.)
• 26A39 Denjoy and Perron integrals, other special integrals ( 0 Dok.)
• 26A42 Integrals of Riemann, Stieltjes and Lebesgue type, See also {28-XX} ( 0 Dok.)
• 26A45 Functions of bounded variation, generalizations ( 0 Dok.)
• 26A46 Absolutely continuous functions ( 0 Dok.)
• 26A48 Monotonic functions, generalizations ( 0 Dok.)
• 26A51 Convexity, generalizations ( 0 Dok.)
• 26A99 None of the above but in this section ( 0 Dok.)
• 26Bxx Functions of several variables ( 0 Dok. )
• 26B05 Continuity and differentiation questions ( 0 Dok.)
• 26B10 Implicit function theorems, Jacobians, transformations with several variables ( 0 Dok.)
• 26B12 Calculus of vector functions ( 0 Dok.)
• 26B15 Integration: length, area, volume, See also {28A75, 51M25} ( 0 Dok.)
• 26B20 Integral formulas (Stokes, Gauss, Green, etc.) ( 0 Dok.)
• 26B25 Convexity, generalizations ( 0 Dok.)
• 26B30 Absolutely continuous functions, functions of bounded variation ( 0 Dok.)
• 26B35 Special properties of functions of several variables, Holder conditions, etc. ( 0 Dok.)
• 26B40 Representation and superposition of functions ( 0 Dok.)
• 26B99 None of the above but in this section ( 0 Dok.)
• 26Cxx Polynomials, rational functions ( 0 Dok. )
• 26C05 Polynomials: analytic properties, etc., See also {12Dxx, 12Exx} ( 0 Dok.)
• 26C10 Polynomials: location of zeros, See also {12D10, 30C15, 65H05} ( 0 Dok.)
• 26C15 Rational functions, See also {14Pxx} ( 0 Dok.)
• 26C99 None of the above but in this section ( 0 Dok.)
• 26Dxx Inequalities, {For maximal function inequalities, See 42B25; for functional inequalities, See 39B72; for probabilistic inequalities, See 60E15} ( 0 Dok. )
• 26D05 Inequalities for trigonometric functions and polynomials ( 0 Dok.)
• 26D07 Inequalities involving other types of functions ( 0 Dok.)
• 26D10 Inequalities involving derivatives and differential and integral operators ( 0 Dok.)
• 26D15 Inequalities for sums, series and integrals ( 0 Dok.)
• 26D20 Other analytical inequalities ( 0 Dok.)
• 26D99 None of the above but in this section ( 0 Dok.)
• 26Exx Miscellaneous topics, See also {58Cxx} ( 0 Dok. )
• 26E05 Real-analytic functions, See also {32B05, 32C05} ( 0 Dok.)
• 26E10 $C^infty$-functions, quasi-analytic functions, See also {58C25} ( 0 Dok.)
• 26E15 Calculus of functions on infinite-dimensional spaces, See also {46G05, 58Cxx} ( 0 Dok.)
• 26E20 Calculus of functions taking values in infinite-dimensiona spaces, See also {46E40, 46G10, 58Cxx} ( 0 Dok.)
• 26E25 Set-valued functions, See also {28B20, 54C60}, {For nonsmooth analysis, See 49J52, 58Cxx, 90Cxx} ( 0 Dok.)
• 26E30 Non-Archimedean analysis, See also {12J25} ( 0 Dok.)
• 26E35 Nonstandard analysis, See also {03H05, 28E05, 54J05} ( 0 Dok.)
• 26E40 Constructive real analysis, See also {03F60, 03F65} ( 0 Dok.)
• 26E50 Fuzzy real analysis, See also {04A72, 28E10} ( 0 Dok.)
• 26E99 None of the above but in this section ( 0 Dok.)