Globally Small Riemann Sums and the Henstock Integral

1990 ◽  
Vol 16 (2) ◽  
pp. 537 ◽  
Author(s):  
Shi-Pan ◽  
Peng-Yee
Keyword(s):  
Henstock Integral ◽  
Riemann Sums

scholarly journals A Fubini Theorem in Riesz spaces for the Kurzweil-Henstock Integral

2011 ◽  
Vol 9 (3) ◽  
pp. 283-304 ◽  
Author(s):  
A. Boccuto ◽  
D. Candeloro ◽  
A. R. Sambucini
Keyword(s):  
Type Theorem ◽  
Riesz Space ◽  
Fubini Theorem ◽  
Real Plane ◽  
Henstock Integral ◽  
Riesz Spaces

A Fubini-type theorem is proved, for the Kurzweil-Henstock integral of Riesz-space-valued functions defined on (not necessarily bounded) subrectangles of the “extended” real plane.

A decomposition theorem for the fuzzy Henstock integral

2012 ◽  
Vol 200 ◽  
pp. 36-47 ◽  
Author(s):  
B. Bongiorno ◽  
L. Di Piazza ◽  
K. Musiał
Keyword(s):  
Decomposition Theorem ◽  
Henstock Integral

scholarly journals A variational Henstock integral characterization of the Radon–Nikodým property

2009 ◽  
Vol 53 (1) ◽  
pp. 87-99 ◽  
Author(s):  
B. Bongiorno ◽  
L. Di Piazza ◽  
K. Musiał
Keyword(s):  
Henstock Integral ◽  
Nikodym Property

Definite Integrals and Riemann Sums

1939 ◽  
Vol 46 (9) ◽  
pp. 538
Author(s):  
J. A. Shohat
Keyword(s):  
Riemann Sums ◽  
Definite Integrals

Convergence Theorems in the Sense of Vitali and Lusin for the Itô–Henstock Integral

2021 ◽  
Vol 15 (01) ◽  
pp. 23-34
Author(s):  
Mhelmar A. Labendia ◽  
Jayrold P. Arcede
Keyword(s):  
Stochastic Process ◽  
Wiener Process ◽  
Convergence Theorem ◽  
Convergence Theorems ◽  
Henstock Integral

In this paper, we formulate a version of convergence theorem using double Lusin condition and a version of Vitali convergence theorem for the Itô–Henstock integral of an operator-valued stochastic process with respect to a [Formula: see text]-Wiener process.

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