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    • On the Norm of Elementary Operator 

      Kingangi, Denis Njue; Agure, John Ogoji; Nyamwala, Fredrick Oluoch (Advances in Pure Mathematics, 2014)
      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 Norm of Elementary Operator 

      Kingangi, Denis Njue; Agure, John Ogoji; Nyamwala, Fredrick Oluoch (Advances in Pure Mathematics, 2014-07)
      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 Ranges 

      Kingangi, Denis Njue (International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2015-08)
      Properties of operators in a C*-algebra B(H) have been studied by many researchers in operator theory. This paper is an investigation of the numerical ranges of operators in B(H) . We show that zero is in the algebraic ...

    • On Norm of Elementary Operator of Length Two 

      King’ang’i, Denis Njue (International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2017-06)
      Norms of elementary operators have been studied by many mathematicians. Varied results have been gotten using different approaches. In this paper we use maximal numerical range to express the norm of an elementary operator ...

    • Parametric Interval Estimation of the Geeta Distribution 

      Kinyanjui, Josphat; Korir, Betty (International Journal of Statistics and Probability, 2018)
      t is well known that the sample mean is the estimator of a population mean in mathematical statistics from a given population of interest as a point estimator which assume a single number that is obtained ...

    • Parametric Point Estimation of the Geeta Distribution 

      Korir, Betty (International Journal of Statistical Distributions and Applications, 2018)
      Geeta distribution is a new discrete random variable distribution defined over all the positive integers with two parameters. This distribution belongs to the family of Location-parameter (LDPD) system and is of the form ...

    • ON THE NORM OF AN ELEMENTARY OPERATOR OF FINITE LENGTH IN A 𝑪∗ALGEBRA 

      Kawira, Esther; King'ang'i, Dennis, N.; Musundi, Sammy, W. (Journal of Progressive Research in Mathematics(JPRM), 2018)
      Properties of elementary operators have been studied over the past years especially the norm aspect. Various results have been obtained on elementary operatorsof different lengths using different approaches. ...

    • On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range 

      Kingangi, Denis Njue (Pure and Applied Mathematics Journal, 2018-03)
      Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length and the norms of its coefficient operators. Various results have been obtained ...

    • Optimal Kiefer Ordering of Simplex Designs for Third-Degree Mixture Kronecker-Models with three ingredients. 

      Korir, Betty (Mathematical Theory and Modeling, 2019)
      This paper investigates the Kiefer optimality in the third-degree Kronecker model for mixture experiments. For mixture models on the simplex, a better design is obtained, by matrix majorization that yields a larger ...

    • Analysis and Modelling of Extreme Rainfall: A Case Study for Dodoma, Tanzania 

      Iyamuremye, Emmanuel; Wanyonyi, Samson, W.; Mbete, Drinold, A. (Asian Journal of Probability and Statistics, 2019)
      The analysis of climate change, climate variability and their extremes has become more important as they clearly affect the human society and ecology. The impact of climate change is reflected by the change of frequency, ...

    • Central Limit Theorem and Its Applications in Determining Shoe Sizes of University Students 

      Mwiti, Mbuba, M.; Wanyonyi, Samson, W.; Marangu, Davis, M. (Asian Journal of Probability and Statistics, 2019)
      The Central limit theorem is a very powerful tool in statistical inference and Mathematics in general, since it has numerous applications such as in topology and many other areas. For the case of probability theory, it ...

    • Application of Principal Component Analysis to Crime Data, Case Study: Mathare Slums, Nairobi County in Kenya 

      Wafula, Mike. E.; Wanyonyi, Samson. W.; Muchwanju, Chris (AmericanJournalofTheoreticalandAppliedStatistics, 2019)
      The study focuses on statistical analysis of causes of crimes in Mathare slums, Nairobi county using data collected via questionnaires in April 2018.The Correlation analysis was carried out to explain the ...

    • Need to make people believe science-science is reliable and means truth 

      Wangui, Patrick (Open Journal of Social Science,, 2019)
      Science is the engine that drives the wheel of development. Consequently, there is a need for people to have faith in science and believe its facts and truths. This paper has looked into ...

    • The Acoustic Wave Propagation Equation: Discontinuous Galerkin Time Domain Solution Approach 

      Koech, P. C.; Manyonge, A. W.; Bitok, J. K. (Applied Mathematical Sciences Vol. 13, 2019, no. 16, 753 - 767, 2019)
      This paper discusses a finite element method, discontinuous Galerkintime domain approach that solves the 2-D acoustic wave equation incylindrical coordinates. The method is based on discretization of thewave ...

    • Construction of a Five-Level V-Dimensional Modified Third Order Rotatable Designs using a Pair of Pairwise Balanced Designs 

      Kimaiyo, J. P.; Mutiso, J.; Kosgey, M. (African Journal of Education, Science and Technology, 2019)
      Rotatable designs are devised for use of response surfaces. Rotatability is evidently a greatly popular property for Response Surface Methodology (RSM). RSM is a group of statistical and mathematical ...

    • On the Norm of Basic Elementary Operator in a Tensor Product 

      Muiruri, Peter; King'ang'i, Denis; Musundi, Sammy (International Journal of Scientific and Innovative Mathematical Research., 2019)
      In this paper, we determine the norm of an elementary operator in a tensor product. More precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor product. We employ the techniques of ...

    • On Unitary Invariance of Some Classes of Operators in Hilbert Spaces 

      Muhati, Linety N.; Khalagai, J. M. (Pure Mathematical Sciences, 2020)
      It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators. However, under the stronger relation of unitary equivalence ...

    • ON CLASSIFICATION OF PERMUTATIONS 

      Nyabate, Fancy; King’ang’i, Denis N.; Musundi, Sammy W. (Asia Pac Journal, 2020-03)
      Some researchers in combinatorics have developed permutation algorithms using different approaches. We contribute to this area by developing a formula for generating permutations whereby, starting with an identity ...

    • Mathematical modeling of flow of fertilizer-water mixture through soil and its effect on concentration and plant growth 

      Rutto, Kipkorir Timothy; Maremwa, Julius Shichikha; Kandie, Joseph Kipchirchir (International Journal of Statistics and Applied Mathematics, 2021)
      In this research we aim to demonstrate and explore how mathematical modeling can be used to aid people gain knowledge and understanding of plants and, in particular, interactions between plants, fertilizers, soil, and ...

    • Modeling Key Drivers of Under-Five Child Malnutrition in Marsabit County, Kenya: Application of the Logit Model 

      Rop, Benjamin Kiptoo; Koech, J.; Otieno, A. (Asian Journal of Probability and Statistics, 2021-04)
      Malnutrition remains one of the major problems in developing countries affecting both adults and children under 5 years. The use of binary logistic regression model was employed, and parameters of interest estimated. ...