<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Fundamental theorem of calculus under weaker forms of primitive

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Fundamental theorem of calculus under weaker forms of primitive"}

In this paper we will present abstract versions of fundamental theorem of calculus (FTC) in the setting of Kurzweil - Henstock integral for functions taking...

Fundamental theorem of calculus under weaker forms of primitive

Published Online: Sep 10, 2018

Page range: 101 - 111

Received: Mar 20, 2018

DOI: https://doi.org/10.2478/ausm-2018-0009

Keywords
Fundamental theorem of calculus, Kurzweil - Henstock intgeral, Bochner integral, Frechet space

© 2018 Nisar A. Lone et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fundamental theorem of calculus under weaker forms of primitive

Published Online: Sep 10, 2018

Page range: 101 - 111

Received: Mar 20, 2018

DOI: https://doi.org/10.2478/ausm-2018-0009

KeywordsFundamental theorem of calculus, Kurzweil - Henstock intgeral, Bochner integral, Frechet space

© 2018 Nisar A. Lone et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fundamental theorem of calculus, Kurzweil - Henstock intgeral, Bochner integral, Frechet space