Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Kurzweil - Henstock Integral in Topological Spaces

View through CrossRef
We deal with the Kurzweil-Henstock integral for functions defined in an abstract compact topological space and taking values in Riesz spaces. We introduce the theory and the fundamental properties, and in particular we prove the monotone convergence theorem.
Title: Kurzweil - Henstock Integral in Topological Spaces
Description:
We deal with the Kurzweil-Henstock integral for functions defined in an abstract compact topological space and taking values in Riesz spaces.
We introduce the theory and the fundamental properties, and in particular we prove the monotone convergence theorem.

Related Results

Inclusion Properties of Henstock-Orlicz Spaces
Inclusion Properties of Henstock-Orlicz Spaces
Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-K...
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
On Henstock‐Dunford and Henstock‐Pettis integrals
On Henstock‐Dunford and Henstock‐Pettis integrals
We give the Riemann‐type extensions of Dunford integral and Pettis integral, Henstock‐Dunford integral and Henstock‐Pettis integral. We discuss the relationships between the Hensto...
SIFAT-SIFAT DASAR INTEGRAL HENSTOCK
SIFAT-SIFAT DASAR INTEGRAL HENSTOCK
This paper was a review about theory of Henstock integral. Riemann gave a definition of integral based on the sum of the partitions in Integration area (interval [a, b]). Thosepart...
Traumatic Mapping and Generational Topographies in Amy Kurzweil’s Flying Couch
Traumatic Mapping and Generational Topographies in Amy Kurzweil’s Flying Couch
Abstract Amy Kurzweil’s graphic memoir Flying Couch demonstrates the lingering struggles the third generation of Holocaust survivors face in trying to understand the...
Kurzweil - Henstock Integral with Values in Riesz Spaces
Kurzweil - Henstock Integral with Values in Riesz Spaces
In this chapter we present the basic properties and results on the Kurzweil-Henstock integral for Riesz spacevalued functions, defined on a bounded subinterval of the real line. We...
Elementary Introduction to Kurzweil-Henstock Integral
Elementary Introduction to Kurzweil-Henstock Integral
In this chapter we introduce the theory of the Kurzweil-Henstock integral for real-valued functions, defined on a bounded interval of the real line. The main properties are illust...
Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions
Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions
In this paper, we give sufficient conditions for the existence and uniqueness of the solution of Sturm–Liouville equations subject to Dirichlet boundary value conditions and involv...

Back to Top