Now showing items 21-36 of 36

  • Tensor Integral: A new comprehensive approach to the integration theory 

    Robdera, Mangatiana (SCIENCEDOMAIN International,, 2014-09-15)
    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 ...
  • A concise approach to real analysis 

    Robdera, Mangatiana A. (Lulu,, 2014-10-07)
  • Some relations between admissible monomials for the polynomial algebra 

    Mothebe, Mbakiso Fix; Uys, Lafras (Hindawi Publishing Corporation,, 2015)
    Let P(𝑛) = F2[𝑥1, . . . , 𝑥𝑛] be the polynomial algebra in 𝑛 variables 𝑥𝑖, of degree one, over the field F2 of two elements. The mod-2 Steenrod algebra A acts on P(𝑛) according to well known rules. A major problem ...
  • On non-metric covering lemmas and extended Lebesgue-differentiation theorem 

    Robdera, Mangatiana A. (Science Domain International;, 2015-03-28)
    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.
  • On natural characterizations of tensor integrability 

    Robdera, Mangatiana A. (Science Domain International,, 2015-05-04)
    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 ...
  • On the Riesz representation theorem and integral operators 

    Robdera, Mangatiana A. (NISC (Pty) Ltd,, 2015-12-14)
    We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...
  • Hydromagnetic free convective radiating flow of chemically reacting fluid through porous medium over a vertical surface in the presence of heat absorption 

    Sarala, Muni G.; Varma, S.V.K.; Chaturvedi, N. (Associated Asia Research Foundation (AARF),, 2016)
    This paper discusses the analysis of first order homogeneous chemical reaction and heat source on MHD flow with heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Newtonian ...
  • Chemical reaction and Hall effects on visco-elastic fluid flow past an inclined moving plate in the presence of heat generation/absorption 

    Latitha, P.; Chaturvedi, N.; Varma, S.V.K. (ESRSA Publications Pvt. Ltd.,, 2016)
    The present work analyzes the Hall and Chemical reaction effects on two dimensional MHD flow of a Visco-elastic fluid past an inclined moving plate by taking double diffusive convection in the presence of Heat generation. ...
  • Diffusion thermo effects on MHD convective flow past a semi-infinite vertical moving plate embedded in a porous medium in the presence of chemical reaction, radiation and heat source 

    Jyothi, P.; Chaturvedi, N.; Reddy, Viswanatha G.; Lalitha, P. (Scholarlink Research Institute,, 2016)
    The study of MHD flow in a porous medium is receiving worldwide attention because of its numerous applications in cooling of electronic systems, chemical catalytic reactors and thermal insulating engineering etc. The ...
  • On the subspace problem for Quasi-normed spaces 

    Robdera, Mangatiana A. (ScienceDomain International;, 2016-07-02)
    A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional ...
  • Extensions of the Lusin's Theorem, the Severini-Egorov's Theorem and the Riesz Subsequence Theorems 

    Robdera, Mangatiana A. (ScienceDomain International;, 2016-10-14)
    We give extensions of the Lusin’s Theorem, the Severini-Egorov’s Theorem, and the Riesz Subsequence Theorems to the setting of a non-additive vector valued set functions and sequences of functions taking values in general ...
  • On cartesian nets and fubini-tonelli type theorem 

    Robdera, Mangatiana A. (International Journal of Applied Physics and Mathematics,, 2017-04)
    The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions ...
  • On size function topology and fixed point theorems 

    Robdera, Mangatiana A. (International Scientific Publications and Consulting Services,, 2017-06)
    In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general ...
  • Unconditional integrability with application to ergodic theorem 

    Unknown author (ScienceDomain International,, 2017-08-07)
    We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued ...
  • Fundamental Theorem of Calculus in Topological Vector Spaces 

    Robdera, M. A.; Kagiso, D. N. (Journal of Mathematics Extension, 2017-10)
    We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the Lebesgue-Nikodym Theorem and the Fundamental Theorem of Calculus ...
  • A unified approach to integration theory 

    Robdera, Mangatiana A. (International Journal of Applied Physics and Mathematics,, 2019-01)
    We investigate the common features and the resemblance of the central parts of the different existing integration theories to obtain a more unified approach to the notion of integral. Our approach gives a presentation of ...