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1. Denjoy integral and Henstock-Kurzweil integral in vector lattices. I

Creator:
Kawasaki, Toshiharu
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
derivative, Denjoy integral, Henstock-Kurzweil integral, fundamental theorem of calculus, vector lattice, and Riesz space
Language:
English
Description:
In this paper we define the derivative and the Denjoy integral of mappings from a vector lattice to a complete vector lattice and show the fundamental theorem of calculus.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Denjoy integral and Henstock-Kurzweil integral in vector lattices. II

Creator:
Kawasaki, Toshiharu
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
derivative, Denjoy integral, Henstock-Kurzweil integral, fundamental theorem of calculus, vector lattice, and Riesz space
Language:
English
Description:
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public