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Fundamental theorem of calculus under weaker forms of primitive

Open Access
|Sep 2018

Abstract

In this paper we will present abstract versions of fundamental theorem of calculus (FTC) in the setting of Kurzweil - Henstock integral for functions taking values in an infinite dimensional locally convex space. The result will also be dealt with weaker forms of primitives in a widespread setting of integration theories generalising Riemann integral.

Language: English
Page range: 101 - 111
Submitted on: Mar 20, 2018
Published on: Sep 10, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2018 Nisar A. Lone, T. A. Chishti, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.