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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Vydáno v:Acta universitatis sapientiae. Mathematica Ročník 10; číslo 1; s. 101 - 111
Hlavní autoři: Lone, Nisar A., Chishti, T. A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cluj-Napoca Sciendo 01.08.2018
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Témata:
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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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2066-7752
1844-6094
2066-7752
DOI:10.2478/ausm-2018-0009