Toshiharu Kawasaki, College of Engineering, Nihon University, Fukushima 963-8642, Japan, and Department of Information Systems, Tokyo University of Information Sciences, Chiba 265-8501, Japan, e-mail: toshiharu.kawasaki@nifty.ne.jp
Abstract: 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.
Keywords: derivative, Denjoy integral, Henstock-Kurzweil integral, fundamental theorem of calculus, vector lattice, Riesz space
Classification (MSC 2000): 46G05, 46G12
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