Journal of Mathematical Analysis and Modeling

Journal of Mathematical Analysis and Modeling

On Equivalence of the ap-Sequential Henstock and ap-Sequential Topological Henstock Integrals

Yazarlar: ["Victor Odalochi Iluebe", "Adesanmi Alao Mogbademu"]

Cilt - , Sayı Cilt 3 Sayı 1 , 2022 , Sayfalar -

Konular:-

DOI:10.48185/jmam.v3i1.332

Anahtar Kelimeler:Ap-Sequential Henstock Integrals,Ap-Sequential Topological Henstock Integral,Topological Space,Guages,Equi-integrability,Absolutely Continuous (AC)

Özet: Let $X$ be a topological space and $\Omega \subset X$. Suppose $f:\Omega\rightarrow X$ is a function defined in a complete space $ \Omega $ and $ \tau $ is a vector in $ \mathbb{R} $ taking values in $X$. Suppose $ f $ is ap-Sequential Henstock integrable with respect to $\tau$, is $ f $ ap-Sequential Topological Henstock integrable with respect to $\tau$? It is the purpose of this paper to proffer affirmative answer to this question.


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