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- W2130852445 abstract "Thirty years ago, in a paper on continued fractions, Stieltjes published a definition of the integral which bears his name. His replacement of the variable of integration x by a more general “base function” φ( x )—a change which throws so much light upon other theories of integration—received at first little attention, but has later sprung into greater prominence; so much so that Professor Hildebrandt, in summarizing these various theories in a paper to the American Mathematical Society, makes the statement that “it [the Stieltjes Integral] seems destined to play the central rôle in the integrational and summational processes of the future.” Yet even now the integral and the allied theory of differentiation with respect to a function have been subjected to little detailed analysis, and the possibilities of extension have been only touched upon. It is the object of this present paper to establish certain results which are of some value in themselves and which prepare the way for an attack upon the integral." @default.
- W2130852445 created "2016-06-24" @default.
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- W2130852445 date "1925-11-01" @default.
- W2130852445 modified "2023-09-28" @default.
- W2130852445 title "On Differentiation with respect to a Function" @default.
- W2130852445 cites W570420633 @default.
- W2130852445 doi "https://doi.org/10.1017/s0305004100014523" @default.
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