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
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 $$f(z)f
^{(k)}(z) = a(z) \Leftrightarrow f^{(k)}(z) = b(z)$$ for every $$f\in \mathcal
{F}$$ on D. Examples are also given to show the necessity of the conditions in
our results....
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
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...
Fractional Variational Problems Depending on Indefinite Integrals and with Delay
Bulletin of the Malaysian Mathematical Sciences Society - Tập 39 - Trang 1515-1528 - 2015
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
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
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
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 calculus
rather than algebra. These inequalities can be considered as the complementary
to the classical ...
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
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 inequalities in Lorentz spaces. In addition, some
endpoint vector-valued inequalities for the Riesz potentials in Lebesgue spaces
are obtained....
Weak Stability of Centred Quadratic Stochastic Operators
Bulletin of the Malaysian Mathematical Sciences Society - Tập 42 - Trang 1813-1830 - 2017
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...
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
Positive Solutions for an Iterative System of Nonlinear Elliptic Equations
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 - Trang 245-272 - 2021
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 )\mathtt {g}_{\mathtt {j}}(\mathtt {z}_{\mathtt
{j}+1})=0,~\mathtt {R}_1<...
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