mcshane integral Latest Research Papers

A New fuzzy McShane integrability

Mathematica Slovaca ◽

10.1515/ms-2021-0009 ◽

2021 ◽

Vol 71 (3) ◽

pp. 631-648

Author(s):

Redouane Sayyad

Keyword(s):

Banach Spaces ◽

Pettis Integral ◽

Linear Topology ◽

Mcshane Integral

Abstract We introduce the notion of the fuzzy McShane integral in the linear topology sense and we discuse its relation with the fuzzy Pettis integral introduced recently by Chun-Kee Park in [On the Pettis integral of fuzzy mappings in Banach spaces, Commun. Korean Math. Soc. 22 (2007), 535–545].

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Double Lusin condition and Vitali convergence theorem for the Itô–McShane Integral

Advances in Operator Theory ◽

10.1007/s43036-019-00038-5 ◽

2020 ◽

Vol 5 (2) ◽

pp. 453-473

Author(s):

Mhelmar A. Labendia ◽

Jeffer Dave A. Cagubcob

Keyword(s):

Convergence Theorem ◽

Mcshane Integral

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A Version of Fundamental Theorem for the Ito-McShane Integral of an Operator-Valued Stochastic Process

European Journal of Pure and Applied Mathematics ◽

10.29020/nybg.ejpam.v12i1.3363 ◽

2019 ◽

Vol 12 (1) ◽

pp. 101-117

Author(s):

Jeffer Dave Cagubcob ◽

Mhelmar Avila Labendia

Keyword(s):

Stochastic Process ◽

Hilbert Space ◽

Wiener Process ◽

Absolute Continuity ◽

Fundamental Theorem ◽

Mcshane Integral ◽

Descriptive Definition

In this paper, we formulate a descriptive definition or a version of fundamental theorem for the Ito-McShane integral of an operator-valued stochastic process with respect to a Hilbert space-valued Wiener process. For this reason, we introduce the concept of belated Mcshane dierentiability and a version of absolute continuity of a Hilbert space-valued stochastic process.

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