Two Characterizations of Riemann Integral Based on Metrics

2020 ◽  
Author(s):  
Ray-Ming Chen
Keyword(s):  
Riemann Integral

scholarly journals On the generalized riemann integral and stochastic integral

1976 ◽  
Vol 21 (1) ◽  
pp. 64-71 ◽  
Author(s):  
Tack-Wang Lee
Keyword(s):  
Stochastic Integral ◽  
Wiener Measure ◽  
Riemann Integral ◽  
Set Up

In Lee (submitted), the GW-integral (the generalized Riemann integral using Wiener measure) is defined. The object of this article is to define stochastic integral in the set up given in Lee (submitted). We also investigate the connection between the stochastic integral defined with the Legesgue counter part, the Paley-Wiener-Zygmund integral in Paley, Weiner and Zygmund (1933). Applications of the stochastic integral will be explained elsewhere.

A Note on the Riemann Integral

1943 ◽  
Vol 50 (10) ◽  
pp. 617 ◽  
Author(s):  
H. E. Robbins
Keyword(s):  
Riemann Integral

The Riemann Integral

2015 ◽  
pp. 333-398
Author(s):  
Charles H. C. Little ◽  
Kee L. Teo ◽  
Bruce van Brunt
Keyword(s):  
Riemann Integral
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