Browsing Research articles (Dept of Mathematics) by Title

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  • Robdera, Mangatiana A. (Science Domain International, http://www.sciencedomain.org/, May 4, 2015)
    We revisit the definition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ...
  • Robdera, Mangatiana A. (Science Domain International;http://www.sciencedomain.org, March 28, 2015)
    We give a non-metric version of the Besicovitch Covering Lemma and an extension of the Lebesgue-Differentiation Theorem into the setting of the integration theory of vector valued functions.
  • Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/107580/?p=1930c3cc1de944feae211b785b3b42a4&pi=0, 2009)
    We study semi-parallel lightlike hypersurfaces of an indefinite Kenmotsu manifold, tangent to the structure vector field. Some Theorems on parallel and semi-parallel vector field, geodesibility of lightlike hypersurfaces ...
  • Robdera, Mangatiana A. (Science Domian International, www.sciencedomain.org, June 24, 2014)
    We introduce the notion of summable bases that naturally generalizes the notion of unconditional sequence bases for Banach spaces. We shall be particularly interested in some classical results on sequences and series in ...
  • Robdera, Mangatiana A.; Kagiso, Dintle (Scientific Research, http://www.scirp.org, November, 2013)
    The Lebesgue-Nikodým Theorem states that for a Lebesgue measure λ:Σ〖⊂2〗^Ω→[0,∞) an additive set function F:Σ→R which is λ-absolutely continuous is the integral of a Lebegsue integrable a measurable function ...
  • Robdera, Mangatiana A. (Pushpa Publishing House, www.pphmj.com, October, 2010)
    In this note, we propose a more efficient approach to the definition of the integral of Banach-valued functions that enables us to give an improved version of the Orlicz-Pettis theorem for integrals.
  • Jain, P.K.; Lungu, E.M.; Mogotsi, B. (Elsevier Science Ltd. http://www.sciencedirect.com/science/journal/09601481, January, 2002)
    Lack of trained manpower for repair and maintenance of solar energy devices in Botswana has resulted in failure of devices, loss of revenue, and dwindling of consumer faith in solar technologies. The government of Botswana ...
  • Massamba, F. (Birkhäuser Basel. http://www.springerlink.com/content/110963/?p=c42ba01ff0bd482b81a3ebdf3b649c9a&pi=0, 2009)
    We investigate lightlike hypersurfaces of indefinite Sasakian manifolds, tangent to the structure vector field and whose screen distribution is integrable. We prove some results on parallel vector fields and on a leaf ...
  • Jain, P.K.; Lungu, E.M. (Elsevier Science Ltd: http://www.elsevier.com/wps/find/journaldescription.cws_home/969/description#description, 2002)
    Abstract Harmonic analysis of sunshine duration and solar irradiation measured at Sebele, Botswana is carried out. The data used consists of the monthly averages and the Julian-days averages of sunshine duration and solar ...
  • Gatsinzi, J-B.; Kwashira, R. (Nova Science Publishers, Inc.; www.novapublishers.com; reprinted with permission from Nova Science Publishers, Inc., 2007)
    Let X be a finite product of even dimensional spheres, we show that the string homology of X contains a finite product of copies of the Witt Lie algebra.
  • Prakash, J.; Ogulu, A. (Elsevier; www.elsevier.com/locate/ichmt, July, 2007)
    A mathematical model for the pulsatile blood flow in a small vessel in a cardiovascular system with a mild stenosis is analyzed. Blood is modeled as a power low fluid and the differential approximation for the heat flux ...
  • Koosimile, A.T. (Elsevier, www.elsevier.com/locate/ijedudev, 2005)
    This paper focuses on teachers’ experiences with implementing a modified International General Certificate of Secondary Education (IGCSE) physics syllabus in Botswana. The syllabus, characterised by a new organisational ...
  • Robdera, Mangatiana (SCIENCEDOMAIN International, www.sciencedomain.org, September 15, 2014)
    We use tensor product to introduce a new approach to the theory of integration. Such an approach will strengthen the existing various classical concepts of integral and will provide a continuous thread tying the subject ...
  • Kumar, P.; Thangaraj, R.; Sathiaraj, T.S. (Springer Netherlands, 2008)
    The melt-quenched Sn10Sb20Se70 sample in the bulk form was used to prepare films on well-cleaned glass substrates by thermal evaporation method. The activation energy for glass transition (apparent) and crystallization has ...
  • Robdera, Mangatiana A. (Pushpa Publishing House, www.pphmj.com, June, 2013)
    We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of ...
  • Saab, P.; Robdera, M.A. (Glasgow Mathematical Journal Trust, http://journals.cambridge.org/action/displayJournal?jid=GMJ, 2011)
    Let G be a compact metrizable abelian group, and let X be a Banach space. We characterize convolution operators associated with a regular Borel X-valued measure of bounded semivariation that are compact (resp; weakly ...

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