Mathematics Subject Classification 1991

40-XX Sequences, series, summability ( 0 Dok.)

• 40-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 40-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 40-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 40-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 40-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 40-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 40Axx Convergence and divergence of infinite limiting processes ( 0 Dok. )
• 40A05 Convergence and divergence of series and sequences ( 0 Dok.)
• 40A10 Convergence and divergence of integrals ( 0 Dok.)
• 40A15 Convergence and divergence of continued fractions, See also {30B70} ( 0 Dok.)
• 40A20 Convergence and divergence of infinite products ( 0 Dok.)
• 40A25 Approximation to limiting values (summation of series, etc.), {For the Euler-Maclaurin summation formula, See 65B15} ( 0 Dok.)
• 40A30 Convergence and divergence of series and sequences of functions ( 0 Dok.)
• 40A99 None of the above but in this section ( 0 Dok.)
• 40B05 Multiple sequences and series {(should also be assigned at least one other classification number in this section)} ( 0 Dok.)
• 40Cxx General summability methods ( 0 Dok. )
• 40C05 Matrix methods ( 0 Dok.)
• 40C10 Integral methods ( 0 Dok.)
• 40C15 Function-theoretic methods (including power series methods and semicontinuous methods) ( 0 Dok.)
• 40C99 None of the above but in this section ( 0 Dok.)
• 40Dxx Direct theorems on summability ( 0 Dok. )
• 40D05 General theorems ( 0 Dok.)
• 40D09 Structure of summability fields ( 0 Dok.)
• 40D10 Tauberian constants and oscillation limits ( 0 Dok.)
• 40D15 Convergence factors and summability factors ( 0 Dok.)
• 40D20 Summability and bounded fields of methods ( 0 Dok.)
• 40D25 Inclusion and equivalence theorems ( 0 Dok.)
• 40D99 None of the above but in this section ( 0 Dok.)
• 40Exx Inversion theorems ( 0 Dok. )
• 40E05 Tauberian theorems, general ( 0 Dok.)
• 40E10 Growth estimates ( 0 Dok.)
• 40E15 Lacunary inversion theorems ( 0 Dok.)
• 40E20 Tauberian constants ( 0 Dok.)
• 40E99 None of the above but in this section ( 0 Dok.)
• 40F05 Absolute and strong summability ( 0 Dok.)
• 40Gxx Special methods of summability ( 0 Dok. )
• 40G05 Cesaro, Euler, Norlund and Hausdorff methods ( 0 Dok.)
• 40G10 Abel, Borel and power series methods ( 0 Dok.)
• 40G99 None of the above but in this section ( 0 Dok.)
• 40H05 Functional analytic methods in summability ( 0 Dok.)
• 40J05 Summability in abstract structures, See also {43A55, 46A35, 46B15} ( 0 Dok.)