Browsing Department of Mathematics by Issue Date
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A STUDY OF ATTITUDES OF TEACHERS AND PUPILS TOWARD THE TEACHING AND LEARNING Of M~THEMATICS RESPECTIVELY IN UPPER PRIMARY SCHOOLS IN MASIMBA EDUCATIONAL ZONE, IRIANYI DIVISION, KISII DISTRICT (KENYA) •
(University of Kenyatta., 1986)The purpose of the study was to identify the attitudes held by the primary school teachers and pupils toward the teaching and learning of Mathematics respectively. The study was done at Masimba Educational zone, Irianyi ... 
On the convexity of Stampfli's numerical range
(Cambridge University Press, 199602)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 ... 
The algebra of smooth functions of rapid descent
(JOOUST, 2009)A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞(V ) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is selfadjoint. So ... 
Operators with slowly growing resolvents towards the spectrum
(International Journal of Pure and Applied Mathematics, 200903)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies 
On Numerical and Centre Values Range
(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 ... 
A Functional Calculus for (α, α+ 1)− type R Operators
(Int. Journal of Math. Analysis,, 2010)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z − H)−1 ≤ c z α  zβ ∀ z ∈ R with z α := z2 + 1 (1) for some α , β ≥ 0; c > 0, is said to ... 
Aspects of (pq) summing multipliers
(Vdm verlag Dr. Muller aktiengeselischaft & co. kg., 2010)A sequence (uj)j2N of operators in L(X; Y ) is a (p; q)summing multi plier (or (p; q)summing sequence of operators), in short (uj) 2 `¼p;q (X; Y ), if there exists a constant C > 0 such that, for any ¯nite collection ... 
Norms of Inner Derivations on Norm ideals
(Int. Journal of Math. Analysis, 2010)Let B(H) be the algebra of bounded linear operators on a Hilbert space H and J be a norm ideal in B(H). We investigate the relationship between the diameter of the numerical range of an operator A ∈ B(H) and the norm ... 
Norm of a derivation and hyponormal operators
(Int J Math Anal, 2010)We characterize when the norm of inner derivation on a norm ideal equals that on the quotient algebra. We further investigate norms of inner derivations implemented by normal and hyponormal operators on norm ... 
BLOCK QUIVERS AND THEIR MUTATIONS
(Maseno University, 2010) 
Incremental Modernization of Statistics Teaching and Curriculum at Maseno University, Kenya
(International Association of Statistical Education, 2010)Modernisation of statistics teaching is a continual problem the world over. The advances in statistical methods and tools along with the growing demand of applied practitioners creates a dual need of people with the ... 
Norms of Derivations Implemented by SUniversal Operators
(International Journal of Mathematical Analysis, 2011)Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For A, B ∈ B(H), we define inner derivations implemented by A,B respectively on B(H) by ΔA(X) = AX−XA, ΔB(X) = BX−XB and a ... 
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 
A cost  benefit analysis of substituting bamboo for tobacco: a case study of smallholder tobacco farmers in south Nyanza, Kenya
(Science Journal Publication, 2012)This study examined the economic and financial benefits and costs of farming bamboo as a crop substitute of tobacco in four (4) districts in South Nyanza, Kenya. The World Health Organization Framework Convention on ... 
Orthogonality of elementary operators in normed spaces and their applications
(SAMSA 2012 mathematics conference proceedings, 201211)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 outpatient ... 
Mathematical Model for Pneumonia Dynamics with Carriers
(2013)There are major advances which have been made to understand the epidemiology of infectious diseases. However, more than 2 million children in the developing countries still die from pneumonia each year. The efforts to ... 
Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients
(WILEY‐VCH Verlag, 201303)Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In ... 
Finite Solvable Groups with 4Regular Prime Graphs
(African Institute for Mathematical Sciences, Master Thesis, 20130523)In this research project, we seek to address the problem of deciding which nite simple graph is a prime graph of a nite group. In particular, we only focus on showing which 4regular graphs can be prime graphs of some ... 
Various notions of orthogonality in normed spaces
(Elsevier, 20130901)In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also considered. Results on orthogonality of the range and the kernel of ... 
On necessary Conditions for scalars
(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∞ ...