Tensor Integral: A New Comprehensive Approach to the Integration Theory
Journal of Advances in Mathematics and Computer Science · pp. 3236–3244 · Published 15 Sep 2014
10.9734/BJMCS/2014/12274Abstract
We use tensor product to introduce a new approach to the theory of integration. Such an approach will strengthen the existing various classical concepts of integral and will provide a continuous thread tying the subject matter together. The integral of vector-valued functions with respect to vector-valued additive measures will be covered without any assumption of measurability. As applications, we state and prove extensions of the Lebesgue fundamental theorems of convergence in a more general setting.
Cited by 3
Private Bag 0022, Department of Mathematics, University of Botswana, Gaborone, Mangatiana A. Robdera · International Journal of Applied Physics and Mathematics · 2019
Mangatiana A. Robdera · Quaestiones Mathematicae · 2015
Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana, Mangatiana A. Robdera · International Journal of Applied Physics and Mathematics · 2017
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