Now showing items 161-180 of 337

    • Sequence in the range of a vector- value measure 

      Aywa, Shem. (Journal of school of computer, statistical and mathematical sciences, 1999)
      Liapounoff, in 1940, proved that the range of a countably additive bounded measure with values in a finite dimensional vector space is compact and, in the nonatomic case, is convex. Later, in 1945, Liapounoff showed, ...
    • Measurable feller semigroups on rn 

      Oduor, Maurice.; Owino; Aywa, Shem. (2007)
      Fractional derivatives are used to model anomalous diffusion, which occurs when the particles spread in a different manner than the prediction of the classical diffusion equation ∂ ∂tu(x, t) = D ∂ 2 ∂x2 u(x, t), ...
    • Aspects of (p.q) summing multipliers 

      Aywa, Shem.; Agure, J.O.; Rao, W. (Vdm verlag Dr. Muller aktiengeselischaft & co. kg., 2010)
      A sequence (uj )j∈N of operators in L(X, Y ) is a (p, q)-summing multiplier (or (p, q)-summing sequence of operators), in short (uj ) ∈ `πp,q (X, Y ), if there exists a constant C > 0 such that, for any finite collection ...
    • On characterization of u-ideals determined by sequences 

      Matuya, Wanyonyi John.; Makila, Patrick.; Achiles, Simiyu.; Aywa, Shem.; Sammy, Musundi. (2012)
      The area of ideals is important in the study of Analysis, algebra, Geometry and Computer science. The various types of ideals have been studied, for example m ideals and h ideals. The m ideals defined on real Banach ...
    • Unconditional banach space ideal property 

      Musundi, S.; Aywa, Shem.; Fourie, Jan.; Matuya, W.J.; Godefroy, G. (Journal of mathematical sciences advances and applications, 2012)
      A Banach X is an M-ideal in its bidual if the relation \\y^t\\ = \\y\\ + 11^1 1 holds for every y € X* and every t e X1 £ j^***. The spaces Co(J) — / any set-equipped with their canonical norm belong to this class, ...
    • Equivalent banach operator ideal norms 

      Musundi, S.; Aywa, Shem.; Fourie, J. (International journal of mathematical analysis, 2012)
      We continue the investigation of coorbit spaces which can be attached to every integrable, irreducible, unitary representation of a locally compact groupG and every reasonable function space onG. Whereas Part I was devoted ...
    • On redemacher boundedness in operator – norm 

      Wanyonyi, W.; Simiyu, J.A.; Aywa, Shem.; Kirui, C.S. (Journal of agriculture, pure and applied science and technology, 2012)
      In these lecture notes we report on recent breakthroughs in the functional analytic approach to maximal regularity for parabolic evolution equations, which set off a wave of activity in the last years and allowed to establish ...
    • Conecture of banach space operator ideals in nuclear spaces 

      Musundi, W.; Ombaka, S.O.; Njogu, C.M.; Muthengi, S.F.; Mugambi, D.; Aywa, Shem. (Asian journal of current engineering and maths, 2013)
      We apply the notion of Banach space operator ideals in nuclear spaces through topological vector spaces. The motivation for this study came from attempts to generalize the structure of nuclear spaces as a result of nuclear ...
    • The effect of climate change on loss of lake volume: case of sedimentation in central rift valley basin, Ethiopia 

      Gadissa, Takele; Nyadawa, Maurice; Behulu, Fiseha; Mutua, Benedict M. (Multidisciplinary Digital Publishing Institute, 2018-12-11)
      Evaluating the impact of climate change on sediment yield has become one of the major topics in climate research. The purpose of this study was to investigate sediment yield contribution to lake volume change under ...
    • Soil erosion management at a large catchment scale using the RUSLE-GIS: the case of Masinga catchment, Kenya 

      Mutua, Benedict M.; Klik, A. (WIT Press, 2004-08-23)
      Kenya is one country suffering heavily from land degradation due to increasing anthropogenic pressure on its natural resources. As is common to many tropical countries, Kenya suffers from a lack of financial resources ...
    • Evaluating performance of vertical flow constructed wetland under various hydraulic loading rates in effluent polishing 

      Oduor, S.O.; Maina, C.W.; Mutua, Benedict M. (IWA Publishing, 2011-06-01)
      The discharge of untreated wastewater or partially treated effluent and runoff from agricultural fields into water bodies is a major source of surface water pollution worldwide. To mitigate this problem, wastewater treatment ...
    • Ideals if polynomial ring got error control in computer applications 

      Olege, F.; Aywa, Shem.; Rao, R.D.K.; Wanambisi, A. (Mathematical theory and modelling, 2013)
      We generalize the classical Knuth-Schonhage algorithm computing GCD of two polynomials for solving arbitrary linear Diophantine systems over polynomials in time, quasi-linear in the maximal degree. As an application, we ...
    • Factorization of large composite integer 

      Wanambisi, Aldrin.; Aywa, Shem.; Maende, Cleophas.; Muketha, Geofrey Muchiri. (International journal of mathematics and studies, 2013)
      This paper is concerned with the problem of obtaining theoretical estimates for the number of arithmetical operations required to factorize a large integer n or test it for primality. One way of making these problems precise ...
    • Advances in composite integer factorization 

      Wanambisi, Aldrin.; Aywa, Shem.; Maende, Cleophas.; Muketha, Geoffrey Muchiri. (Mathematical theory and modelling, 2013)
      In this research we propose a new method of integer factorization. Prime numbers are the building blocks of arithmetic. At the moment there are no efficient methods (algorithms) known that will determine whether a ...
    • The relationship between students socio-economic status and access to public university education in Bungoma west district, Kenya 

      Manyonge, M.; Aywa, Shem.; Odebero, S.; Poipoi, M. (International journal of advanced research, 2013)
      The relationship between socio-economic status (SES) and student achievement is well documented and indicates that students from more advantaged backgrounds perform better at school. Numerous international and national ...
    • A probabilistic data encryption scheme (PDES) 

      Wanambisi, Aldrin W.; Maende, Cleophas.; Muketha, Geoffrey.; Aywa, Shem. (2013)
      A chaos-based cryptosystem has exhibited some unconventionally excellent properties. At the same time, it is of vital significance for its advancement to give a mathematically rigorous cryptanalysis. In this study, we ...
    • Finite difference solution othird order viscous wave equation 

      Oganga, Duncan.; Okoya, Michael O.; Aywa, Shem.; Lawi, George O.; Nthiiri, Joyce . (International journal of engineering, science and mathematics, 2014)
      A new numerical method for Nwogu’s (ASCE Journal of Waterway, Port, Coastal and Ocean En-gineering1993;119:618) two-dimensional extended Boussinesq equations is presented using a lineartriangular nite element spatial ...
    • Mixed galerkin inite element solution of the homogenous burgers equation 

      Adenya, K.; Okoya, RO.; Aywa, Shem.; Oganga, OD. (International journal of engineering & scientific research, 2015)
      Nonlinear partial differential equations arise in a large number of mathematical and engineering problems. Systems of nonlinear partial differential equations have attracted much attention in studying solid state physics, ...
    • Generation for measurable covers for measurable sets using multiple integral of functions 

      Otanga, o.; Levi, O.; Aywa, Shem.; Owino, M. (Science sign post publishing, 2015)
      The point-objective problem and the Weber problem are two well-known formulations for locating a new facility with respect to a set of fixed facilities. When locations are represented as points on a plane, the point-objective ...
    • On unconditional banach space ideal property 

      Muthengi, Frewdrick.; Musundi, Sammy.; Aywa, Shem. (Instytut matematyczny polskiej akademi nauk, 2015-03-18)
      We show that a Banach space with separable dual can be renormed to satisfy hereditarily an "almost" optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition X∗∗∗=X⊥⊕X∗ is ...