Transactions of the American Mathematical Society · 1940 · 34 citations · 13 references
Natural SciencesMathematicsApplied MathematicsMathematical PhysicsProbability TheoryIntegral EquationsNumerical Integration
1. Introduction.There are several types of integration for numericallyvalued functions, one of which is associated with the ideas and methods of Cauchy, Riemann, and Lebesgue, another of which is connected with the method of Perron, and so on.This paper will be concerned with the integration of functions with values in a Banach space by methods in the Cauchy-Riemann-Lebesgue tradition.Numerous other studies of integration in abstract spaces have been made in recent times.Noteworthy among these are (a) papers by Graves [l],t
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Moore-Smith Convergence in General Topology
Garrett Birkhoff · Annals of Mathematics · 1937 · 122 citations