Browsing Department of Mathematics by Title
Now showing items 42-61 of 69
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On some properties of generalized Fibonacci polynomials
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ... -
Recursive Relation for Zero In ated Poisson Mixture Distributions
(2017)The paper extends the work of Sarguta who derived recursive re- lations for univariate distributions by considering the ZIP continuous mixtures. The paper gives a recursive formular which can be used to evaluate the mixed ... -
Refined enumeration of 2-noncrossing trees
(Academic Publishing House, 2021)A 2-noncrossing tree is a connected graph without cycles that can be drawn in the plane with its vertices on the boundary of circle such that the edges are straight line segments that do not cross and all the vertices ... -
Refined enumeration of k-plane trees and k-noncrossing trees
(2022)A k-plane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than k+1. These trees are known to be related to (k+1)-ary trees, and ... -
Some Properties of the Essential Numerical Range on Banach Spaces
(HIKARI Ltd,, 2017)We study the properties of the essential algebraic numerical range as well as the essential spatial numerical range for Banach space operators. Mathematics Subject Classi cation: 47A10; 47A05; 47A53