Browsing by Author "Otanga, Levis Olwamba"

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    On generation of measurable covers for measurable sets using multiple integral of functions
    (Science Signpost Publishing:Journal of Mathematics and Statistical Science,, 2015-06-01) Otanga, Levis Olwamba; Aywa, Shem; Owino, Maurice Oduor
    In this article, we formulate an n-dimensional structure of measurable covers for measurable sets. Properties such as monotonocity, countable additivity and σ-finiteness of the projective tensor product of vector measure duality are largely applied.
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    Partition of measurable sets
    (council for Innovative Research, 2015-06-18) Owino, Maurice Oduor; Otanga, Levis Olwamba; Aywa, Shem
    The theory of vector measure has attracted much interest among researchers in the recent past. Available results show that measurability concepts of the Lebesgue measure have been used to partition subsets of the real line into disjoint sets of finite measure. In this paper we partition measurable sets in Rn for n ≥ 3 into disjoint sets of finite dimension.