Browsing Journal Articles by Title

Now showing items 2614-2633 of 3929

    • On necessary Conditions for scalars 

      DO Adicka, W Mukuna, PO Oleche (Hikari Ltd, 2014)
      In this paper, we give a characterization of scalar operators. In particular we show that a densely defined closed linear operator H acting on a reflexive Banach space X is scalar if it is of (0, 1) type R and f (H)≤ f∞ ...

    • On Noncrossing and Plane Tree-Like Structures 

      Isaac Owino Okoth (Communications in Advanced Mathematical Sciences, 2021)
      Mathematical trees are connected graphs without cycles, loops and multiple edges. Various trees such as Cayley trees, plane trees, binary trees, d-ary trees, noncrossing trees among others have been studied extensively. ...

    • On Numerical and Centre Values Range 

      John O Agure, Paul O Oleche (Int. Journal of Math, 2010)
      This paper follows [1] in the quantitative study of Numerical Ranges introduced by Stampfli [9]. In particular, we consider a family of mutually orthogonal projections and investigate how a numerical range can be related ...

    • On Numerical Range of Multiplication Operator 

      Odero Adhiambo Beatrice, JO Agure, FO Nyamwala (International Journal of Mathematical Analysis, 2019)
      Let H be an in nite dimensional complex Hilbert space and A;B 2 B(H) where B(H) is the C -algebra of all bounded linear operators on H. Let MAB : B(H) ! B(H) be a multiplication operator induced by A and B de- ned ...

    • On Regular Prime Graphs of Solvable Groups 

      Donnie Munyao Kasyoki, Paul Odhiambo Oleche (Hikari Ltd, 2016)
      Let G be a finite solvable group and∆(G) be the prime vertex graph on cd (G). We show that if∆(G) is noncomplete and regular, then G is the direct product of groups with disconnected graphs of 2 vertices.

    • ON SINGULAR CAUCHY PROBLEM OF EULER-POISSON DARBOUX EQUATION 

      CC Wanjala Iyaya, WA Manyonge, Joseph Esekon (2012)
      We solve the singular Cauchy problem of Euler-Poisson-Darboux equation. The Riemann function, a solution corresponding to the adjoint equation is calculated and it enables us to evaluate any solution at a point by the ...

    • On some properties of generalized Fibonacci polynomials 

      Fidel Oduol (Open Journal of Discrete Applied Mathematics, 2020)
      Fibonacci polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions and by varying the recurrence relation and maintaining the initial conditions. In ...

    • On the convexity of Stampfli's numerical range 

      JO Agure (Cambridge University Press, 1996-02)
      This paper investigates a certain type of numerical range introduced by Stampfli. In particular, we investigate the convexity of this set of elements of operators on Hilbert spaces and its relationship to the algebra ...

    • On the Generalized Reid Inequality and the Numerical Radii 

      JO Bonyo, DO Adicka, JO Agure (Applied Mathematical Sciences, 2011)
      In this paper, we extend the generalized Reid inequality to include the numerical radii for the product of two Hilbert space operators. Mathematics Subject Classification: 47A12, 47A30, 47A63

    • On the maximal numerical range of elementary operators 

      Flora Mati Runji, John Ogonji Agure, Fredrick Oluoch Nyamwala (Academic Publications, Ltd., 2017-02)
      The notion of the numerical range has been generalized in different directions. One such direction, is the maximal numerical range introduced by Stampfli (1970) to derive an identity for the norm of a derivation on L(H). ...

    • On the Norm of a Generalized Derivation 

      Odero Adhiambo Beatrice, J. O. Agure,F. O. Nyamwala (HIKARI Ltd, 2019)
      Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized inner derivation operator ...

    • On the norm of elementary operator 

      Denis Njue Kingangi, John Ogoji Agure, Fredrick Oluoch Nyamwala (Scientific Research Publishing, 2014-07-07)
      The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators.

    • On the Numerical Range of a Generalized Derivation 

      FM Runji, JO Agure, FO Nyamwala (HIKARI Ltd,, 2017)
      We examine the relationship between the numerical range of the restriction of a generalized derivation to a norm ideal J and that of its implementing elements. Mathematics Subject Classi cation: 47A12; 47B47

    • On the Numerical Solution of Boundary Value Problem (BVP) of the Ordinary Differential Equation (ODE) - The Case of Steady-State Bio-Heat Equation with Combined Heat Transfer Coefficient by Pseudo-Spectral Collocation Method 

      Odongo, Benard A; Manyonge, Alfred W; Owego, Dancun O; Opiyo, Richard O (European Journal of Engineering and Technology Research, 2023-09-15)
      Spectral methods for the solution of a boundary value problem of an ordinary differential equation are reviewed with particular emphasis laid on pseudo-spectral collocation method. The pseudo-collocation method is then ...

    • On the Solution of Confined Aquifer Flow Equations: Finite Difference Approximations 

      JO Okiro, AW Manyonge, NO Ongati, JM Shichikha, JK Kimaiyo (Hikari Ltd, 2013)
      In general, groundwater flow in porous media on a microscopic level is three-dimensional. However, when considering regional flow problems ie groundwater flow on a macroscopic level, it is noted that because of the low ...

    • On the Solution of n-Dimensional Regular Cauchy Problem of Euler-Poisson-Darboux Equation (EPD) 

      Manyonge, A.W; Kweyu, David (2017)
      A general exact solution to the n-dimensional regular Cauchy prob- lem of Euler-Poisson-Darboux (EPD) equation has been studied. Firstly, the general exact solution for the one dimensional regular Cauchy prob- lem of ...

    • On the steady MHD couette flow between two infinite parallel plates in an uniform transverse magnetic field 

      DW Kiema, WA Manyonge, JK Bitok, RK Adenyah, JS Barasa (2015)
      In this paper we consider laminar viscous incompressible fluid between two infinite parallel plates when the upper plate is moving with constant velocity Uo and the lower plate is held stationary under the influence of ...

    • On the Theory of Random Search 

      FREDRICK BERNARD ODHIAMBO ORYARGO (University of Nairobi,, 1994)
      The problem of identifying one or more unknown elements belonging to a finite set So' containing n distinguishable elements is well known in literature. Designs used in this kind of investigation are known as search designs. ...

    • On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring 

      Walwenda Shadrack Adero, Ingado Daisy, Owino Maurice Oduor (Journal of Mathematics and Statistical Science, 2016)
      Let r be a positive integer and 2 ≤ ∈k . Let ( ) kr k GR p p, be a Galois ring of order kr p and characteristic k p . Consider, ( ) kr k R GR p p U = ,⊕ where U is a finitely generated ( ) kr k GR p p, module. If Z R( ...

    • One Step Forward, Two Backward—Every Five Years: Electoral Violence and Peacebuilding in Kenya 

      Omondi, Owiso ,Michael (Springer International Publishing, 2022-10-27)
      Over the past twenty years or so, the peacebuilding enterprise has witnessed the development of many frameworks, models, strategies, fundamental assumptions and principles designed to achieve sustainable peace. Peacebuilding ...