scholarly journals A VITALI-LIKE CONVERGENCE THEOREM FOR THE HENSTOCK INTEGRAL

1996 ◽  
Vol 22 (1) ◽  
pp. 174 ◽  
Author(s):  
Fleischer
Keyword(s):  
Convergence Theorem ◽  
Henstock Integral

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.

scholarly journals Fuzzy Integral Equations and Strong Fuzzy Henstock Integrals

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Yabin Shao ◽  
Huanhuan Zhang
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Convergence Theorem ◽  
Existence Theorems ◽  
Fuzzy Integral ◽  
Henstock Integral

By using the strong fuzzy Henstock integral and its controlled convergence theorem, we generalized the existence theorems of solution for initial problems of fuzzy discontinuous integral equation.

scholarly journals The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yabin Shao ◽  
Huanhuan Zhang
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Convergence Theorem ◽  
Continuous Dependence ◽  
Existence Theorems ◽  
Henstock Integral

We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.

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
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