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 values in an infinite dimensional locally convex space. The result will also be dealt with weaker forms of primitives in a widespread setting o...

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Published in:Acta universitatis sapientiae. Mathematica Vol. 10; no. 1; pp. 101 - 111
Main Authors: Lone, Nisar A., Chishti, T. A.
Format: Journal Article
Language:English
Published: Cluj-Napoca Sciendo 01.08.2018
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:
Bochner integral
Frechet space
Fundamental theorem of calculus
Kurzweil - Henstock intgeral
Primary 46G10
Secondary 46G12
ISSN:2066-7752, 1844-6094, 2066-7752
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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.
AbstractList 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.
Author Chishti, T. A.
Lone, Nisar A.
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  fullname: Chishti, T. A.
  email: chishtita@uok.edu.in
  organization: Department of Mathematics, University of Kashmir, Srinagar, India
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Cites_doi 10.2307/44153170
10.1090/gsm/032
10.1080/00029890.1996.12004798
10.1007/BF02402869
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10.1090/surv/015
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Copyright 2018. This work is published under http://creativecommons.org/licenses/by-nc-nd/3.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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SubjectTerms Bochner integral
Frechet space
Fundamental theorem of calculus
Kurzweil - Henstock intgeral
Primary 46G10
Secondary 46G12
Title Fundamental theorem of calculus under weaker forms of primitive
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