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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 Algebraic Numerical Range of the Basic Elementary Operator and Norm of a Generalized Derivation
(Maseno University, 2020)An elementary operator is a bounded linear map defined on the set of bounded linear operators acting on an infinite dimensional complex Hilbert space H. Various forms of elementary operators have been studied in the past ... -
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 design and functionality of a solar chimney, Solar pressure-staged wind tunnel electric power Generating plant and an integrating sphere Calorimeter. I . I \
(Maseno University, 2009)The design and application of solar chimney and solar pressure-staged wind tunnel electric power generating plants involve the understanding of parameters which affect their operations and utilization. The size and ... -
On the Essential Numerical Range
(Maseno University, 2013)The convexity. closure and compactness of the numerical range among other properties constitute a considerable literature in operator theory. The properties of the essential numerical range and how they are related to ... -
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 ranges and Spectra of normal operators
(Maseno university, 2010)The study of numerical ranges and spectra has been of great interest to many mathematicians in the past decades. In this study, we have continued to look at the numerical ranges and spectra of operators .on a Hilbert space. ... -
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 Solution of Confined Aquifer Flow Equations: Finite Difference Approximations
(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)
(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
(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
(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
(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
(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 ... -
Online Assessment and Examinations practices at the eCampus of Maseno University in Response to COVID 19 lockdown
(EasyChair, 2022)The COVID-19 pandemic resulted in an increasing demand for online learning and led to the demand for the offer of online assessment at Maseno university. Prior to the COVID19 pandemic the institution had put in place measures ... -
OPEN EDUCATIONAL RESOURCES FOR STATISTICS TEACHING
(ISI/IASE, 2017)A series of papers at this conference have built on the African Data Initiative (ADI) which was started to improve statistical literacy and understanding. One immediate deliverables of this initiative has been new ...