Browsing Department of Mathematics by Title

Now showing items 38-57 of 69

    • 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 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 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( ...

    • Operators with slowly growing resolvents towards the spectrum 

      Paul O Oleche, N Omolo-Ongati, John O Agure (International Journal of Pure and Applied Mathematics, 2009-03)
      A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies

    • Orthogonality of elementary operators in normed spaces and their applications 

      NB Okelo, JO Agure (SAMSA 2012 mathematics conference proceedings, 2012-11)
      Malaria is a major public health concern, especially among pregnant women and children under the age of five. It is a leading cause of morbidity and mortality in Malawi, accounting for fourty percent of out-patient ...

    • Parameter Driven Dynamics of Trypanosomiasis in a Cattle Population 

      J Otieno, JYT Mugisha, BK Nannyonga, P Oleche (HIKARI Ltd, 2014)
      In this paper we study the disease dynamics of trypanosomiasis in a cattle population. The compartmental model presented includes the wild animal population which provides an alternative feeding source for the tsetse ...

    • A Probabilistic Estimation of the Basic Reproduction Number: A Case of Control Strategy of Pneumonia 

      Ong’ala Jacob Otieno, Mugisha Joseph,Oleche Paul, (cience Publishing Group, 2014)
      Deterministic models have been used in the past to understand the epidemiology of infectious diseases, most importantly to estimate the basic reproduction number, Ro by using disease parameters. However, the approach ...

    • Provable, Secure & Democratic Election Model 

      Ochieng’ Daniel Achola1 , Oleche Paul2 and Oluoch Nyamwala2 (INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY SCIENCES AND ENGINEERING, 2017)
      Democracy is founded on the principle of elections and opinion expression capabilities. Bimber & Leggewie foresaw e-democracy. Voting is an information transfer model. Trust is essential to communication channel but ...

    • Reachability in complete t-ary trees 

      Abayo, Sylvester Arthur; Okoth, Isaac Owino; Kasyoki, Donnie Munyao (Annals of Mathematics and Computer Science, 2023-10-01)
      Mathematical trees such as Cayley trees, plane trees, binary trees, noncrossing trees, t-ary trees among others have been studied extensively. Reachability of vertices as a statistic has been studied in Cayley trees, plane ...

    • Reachability results in labelled t-ary trees 

      Isaac Owino Okoth, Albert Oloo Nyariaro (Open Journal of Mathematical Sciences, 2021)
      In this paper, we prove some new formulas in the enumeration of labelled t-ary trees by path lengths. We treat trees having their edges oriented from a vertex of lower label towards a vertex of higher label. Among other ...