Journal Articles: Recent submissions

Now showing items 1-20 of 29

    • 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 ...

    • ON THE NORM OF JORDAN ELEMENTARY OPERATOR IN TENSOR PRODUCT OF C*-ALGEBRAS 

      Muiruri, Peter Guchu; King'ang'i, Denis Njue; Musundi, Sammy Wabomba (|INT Journal of Mathematics, 2024-06)
      The norm property of different types of Elementary operators has attracted a lot of researchers due to its wide range applications in functional analysis. From available literature the norm of Jordan elementary operator ...

    • On The Norm of Finite Length Elementary Operator in Tensor Product of C*-Algebras 

      Muiruri, Peter Guchu; King’ang’i, Denis Njue; Wabomba, Sammy Musundi (International Journal of Mathematics and Computer Research, 2024-01)
      Many properties of Elementary operators, including spectrum, numerical ranges, compactness, rank, and norm have been studied in depth and some results have been obtained. However, little has been done in determining the ...

    • On almost similarity results on partial isometrics, 𝛉- operators and posinormal operators 

      Kiprop, Sammy Karani; King'ang'i, Denis Njue; Mutekhele, Jairus (International Journal of Statistics and Applied Mathematics, 2021-06)
      It is pre-eminent that equality of spectra is realized when the two given operators are unitarily equivalent or similar but not when they are almost similar. Also, projections which are 𝛼-almost similar, demonstrate ...

    • 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 ...

    • 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 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 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 ...

    • 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

    • EFFECT OF VACCINATION ON MATHEMATICAL MODELING OF COVID-19 

      Jerop, Rael; Julius, Maremwa S.; Kandie, Joseph K. (International Journal of Science Academic Research, 2023-02)
      Corona virus 2019 (Covid-19) have been endemic both in Africa and the whole world. In this paper we have formulated and analyze mathematical model of covid-19 that monitors the temporal dynamics of the disease in the ...

    • Detecting Remote Access Network Attacks Using Supervised Machine Learning Method 

      Wekesa, Cyrus; et. al... (MECS Press, 2023)
      Remote access technologies encrypt data to enforce policies and ensure protection. Attackers leverage such techniques to launch carefully crafted evasion attacks introducing malware and other unwanted traffic to the ...

    • Application of ARIMA, and hybrid ARIMA Models in predicting and forecasting tuberculosis incidences among children in Homa Bay and Turkana Counties, Kenya 

      Siamba, Stephen; Otieno, Argwings; Koech, Julius (PLOS DIGITAL HEALTH, 2023-02)
      Tuberculosis (TB) infections among children (below 15 years) is a growing concern, particularly in resource-limited settings. However, the TB burden among children is relatively unknown in Kenya where two-thirds of ...

    • 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 ...

    • 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 ...

    • Optimization of Split-Plot Design in the Context of Mixture Process Variable Settings 

      Wanyonyi, Samson W.; et al. (Asian Journal of Probability and Statistics, 2021-04)
      In the presence of process variables, a mixture design has become well-known in statistical modeling due to its utility in modeling the blending surface, which empirically predicts any mixture's response and serves as the ...

    • Exploration of D-, A-, I- and G- Optimality Criteria in Mixture Modeling 

      Wanyonyi, Samson W.; Okango, Ayubu A.; Koech, Julius K. (Asian Journal of Probability and Statistics, 2021-05)
      A design optimality criterion, such as D-, A-, I-, and G- optimality criteria, is often used to analyze, evaluate and compare different designs options in mixture modeling test. A mixture test is an experiment where ...

    • The effect of a difference in angle in two lateral inflow channels on the main channel's velocity 

      Chirchir, A. C.; Kandie, J. K.; Maremwa, J. S. (International Journal of Statistics and Applied Mathematics, 2021-04)
      In this study, we examined the flow from two lateral inflow channels in a man-made open rectangular channel of an incompressible Newtonian fluid. The influences of the angles as it varies directly proportional to each ...

    • 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. ...

    • 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 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. ...