Bulletin of the Malaysian Mathematical Sciences Society

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Normal Families and Shared Values of Meromorphic Functions
Bulletin of the Malaysian Mathematical Sciences Society - Tập 39 - Trang 155-171 - 2015
Xiaoyi Liu
Let a and b be two given meromorphic functions on a domain D. We study normality of the family $$\mathcal {F}$$ of meromorphic functions that satisfy $$f(z)f ^{(k)}(z) ...... hiện toàn bộ
A Review of the Rayleigh Distribution: Properties, Estimation & Application to COVID-19 Data
Bulletin of the Malaysian Mathematical Sciences Society - Tập 47 - Trang 1-35 - 2023
M. Z. Anis, I. E. Okorie, M. Ahsanullah
We study the different properties of the Rayleigh distribution. These include the descriptive properties, reliability properties and stochastic orders. Next, we consider seven different estimation methods for estimating the parameter, namely: maximum likelihood estimation, matching moments estimation, maximum product of spacing estimation, ordinary least squares estimation, Cramér-von Mises estima...... hiện toàn bộ
Fractional Variational Problems Depending on Indefinite Integrals and with Delay
Bulletin of the Malaysian Mathematical Sciences Society - Tập 39 - Trang 1515-1528 - 2015
Ricardo Almeida
The aim of this paper is to exhibit a necessary and sufficient condition of optimality for functionals depending on fractional integrals and derivatives, on indefinite integrals and on the presence of time delay. We exemplify with one example, where we find analytically the minimizer.
Local Law for Eigenvalues of Random Regular Bipartite Graphs
Bulletin of the Malaysian Mathematical Sciences Society - Tập 43 - Trang 1517-1526 - 2019
Linh V. Tran
In this paper, we study the local law for eigenvalues of large random regular bipartite graphs with degree growing moderately fast. We prove that the empirical spectral distribution of the adjacency matrix converges in probability to a scaled down copy of the Marchenko–Pastur distribution on intervals of short length.
A Proof of Girsanov’s Theorem: The Henstock–Kurzweil Approach
Bulletin of the Malaysian Mathematical Sciences Society - Tập 42 - Trang 781-792 - 2017
Varayu Boonpogkrong
In this paper, we will give a proof of Girsanov’s theorem for Wiener integrals using the Henstock–Kurzweil approach. The approach is by Riemann sums.
Novel Diamond Alpha Bennett–Leindler Type Dynamic Inequalities and Their Applications
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 - Trang 1027-1054 - 2022
Zeynep Kayar, Billur Kaymakçalan
For the exponent $$\zeta >1$$ , the diamond alpha Bennett–Leindler type inequalities are established by developing two methods, one of which is based on the convex linear combinations of the related delta and nabla inequalities, while the other one is new and is implemented by using time scale calc...... hiện toàn bộ
Some Applications of $$L^1$$ -Estimates of Fractional Integral Operators in Lorentz Spaces
Bulletin of the Malaysian Mathematical Sciences Society - Tập 46 - Trang 1-8 - 2023
Muhamad Jamaludin, Daniel Salim, Denny Ivanal Hakim
In this paper, we establish some application of $$L^1$$ -estimates for the Riesz potentials of order $$\alpha $$ in some Lorentz spaces. We use this estimate to improve certain Olsen-type inequalit...... hiện toàn bộ
Weak Stability of Centred Quadratic Stochastic Operators
Bulletin of the Malaysian Mathematical Sciences Society - Tập 42 - Trang 1813-1830 - 2017
Krzysztof Bartoszek, Joachim Domsta, Małgorzata Pułka
We consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic mean of the parents’ traits. It is shown that for th...... hiện toàn bộ
A Conjecture of Zhi-Wei Sun on Determinants Over Finite Fields
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 Số 5 - Trang 2405-2412 - 2022
Hai-Liang Wu, Yue-Feng She, He-Xia Ni
Positive Solutions for an Iterative System of Nonlinear Elliptic Equations
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 - Trang 245-272 - 2021
Mahammad Khuddush, K. Rajendra Prasad
This paper deals with the existence of positive radial solutions to the iterative system of nonlinear elliptic equations of the form $$\begin{aligned} \begin{aligned} \triangle {\mathtt {z}_{\mathtt {j}}}+\frac{(\mathtt {N}-2)^2r_0^{2\mathtt {N}-2}}{\vert x\vert ^{2\mathtt {N}-2}}\mathtt {z}_\mathtt {j}+\varphi (\vert x\vert )\m...... hiện toàn bộ
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