2024-03-29T12:39:17+04:30
http://maco.lu.ac.ir/browse.php?mag_id=3&slc_lang=en&sid=1
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Some Multiplicative Inequalities for Heinz Operator Mean
Silvestru Sever
Dragomir
sever.dragomir@vu.edu.au
In this paper we obtain some new multiplicative inequalities for Heinz operator mean.
Young's Inequality
Real functions
Arithmetic mean-Geometric mean inequality
Heinz means
2021
6
01
1
10
http://maco.lu.ac.ir/article-1-62-en.pdf
10.52547/maco.2.1.1
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials
Najmeh
Ghaderi
najmeh_ghaderi@yahoo.com
Mohammad Hadi
Farahi
farahi@math.um.ac.ir
A numerical approach based on Bernstein polynomials is presented to unravel optimal control of nonlinear systems. The operational matrices of differentiation, integration and product are introduced. Then, these matrices are implemented to decrease the solution of nonlinear optimal control problem to the solution of the quadratic programming problem which can be solved with many algorithms and softwares. This method is easy to implement it with an accurate solution. Some examples are included to demonstrate the validity and applicability of the technique.
Optimal control of nonlinear systems
Operational matrix of Bernstein polynomials
Quadratic programming problem.
2021
6
01
11
27
http://maco.lu.ac.ir/article-1-69-en.pdf
10.52547/maco.2.1.2
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Characterization of Aluthge Transform of Composition Operators
Morteza
Sohrabi
sohrabi.mo@lu.ac.ir
Let $widetilde{{C}_{varphi}}$ be the Aluthge transform of composition operator on $L^{2}(Sigma)$. The main result of this paper is characterizations of Aluthge transform of composition operators in some operator classes that are weaker than hyponormal, such as hyponormal, quasihyponormal, paranormal, $*$-paranormal on $L^{2}(Sigma)$. Moreover, to explain the results, we provide several useful related examples to show that $widetilde{{C}_{varphi}}$ lie between these classes.
Aluthge transform
polar decomposition
conditional expectation
hyponormal
paranormal
2021
6
01
29
38
http://maco.lu.ac.ir/article-1-68-en.pdf
10.52547/maco.2.1.3
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Bipolar Multiplicative Metric Spaces and Fixed Point Theorems of Covariant and Contravariant Mappings
Ganesa
C Moorthy
ganesamoorthyc@gmail.com
Gurusamy
Siva
gsivamaths2012@gmail.com
The definition of bipolar multiplicative metric space is introduced in this article, and in this space some properties are derived. Multiplicative contractions for covariant and contravariant maps are defined and fixed points are obtained. Also, some fixed point results of covariant and contravariant maps satisfying multiplicative contraction conditions are proved for bipolar multiplicative metric spaces. Moreover, Banach contraction principle and Kannan fixed point theorem are generalized.
Bipolar multiplicative metric space
multiplicative contraction
Fixed point.
2021
6
01
39
49
http://maco.lu.ac.ir/article-1-70-en.pdf
10.52547/maco.2.1.4
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
A Comparison of Six Methods Used to Evaluate Apparent Thermal Diffusivity for Soils (Iğdır Region, Eastern Turkey)
Resat
Mikail
elman.hazar@igdir.edu.tr
Elman
HAZAR
elman.hazar@igdir.edu.tr
Ali
Farajzadeh
farajzadehali@gmail.com
Erhan
Erdel
erhan.erdel@igdir.edu.tr
Fariz
Mikailsoy
fariz.m@igdir.edu.tr
The objective of this work is to investigate the infl uence of boundary conditions at depth soil on the development of methods to determine the soil′s apparent thermal diffusivity based on solution of inverse problems of a heat-transfer equation. Experimental investigations were carried out to establish the influence of boundary conditions at depth in soil on the solution of inverse problems of modeling of heat transfer in soils. For this purpose, 1 soil profile in the land at different depths (x=0, 5, 10, 15, 20, 40, 60 cm) thermal sensors (Temperature recorder Elitech RC-4) have been installed to measure soil temperatures depending on time and depths. Based on these data, the apparent thermal diffusivity in soils was calculated using the classical (layered) and proposed (point) methods developed for the case with one and two harmonics, and they were compared and the calculated characteristics were compared with the experimental results. It was found that the proposed point methods best reflect the movement of heat in the soil profile.
soil thermal properties
heat conduction model
apparent thermal diffusivity
boundary conditions
comparison of methods
2021
6
01
51
61
http://maco.lu.ac.ir/article-1-63-en.pdf
10.52547/maco.2.1.5
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
An Extension of the Interpolation Theorem
Seyyed Mohammad
Tabatabaie
sm.tabatabaie@qom.ac.ir
Alireza
Bagheri Salec
r-bagheri@qom.ac.ir
In this paper we prove the Riesz-Thorian interpolation theo-rem for weighted Orlicz and weighted Morrey Spaces.
Interpolation Theorem
Weighted Orlicz space
Young function
Weighted Morrey space.
2021
6
01
63
69
http://maco.lu.ac.ir/article-1-71-en.pdf
10.52547/maco.2.1.6
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Some Remarks on The Paper "Global Optimization in Metric Spaces With Partial Orders"
Moosa
Gabeleh
gab.moo@gmail.com
Jack
Markin
jmarkin@newmexico.com
The aim of this note is to show that the main conclusion of a recent paper by Sadiq Basha [S. Sadiq Basha, Global optimization in metric spaces with partial orders, emph{Optimization, 63 (2014), 817-825}] can be obtained as a consequence of corresponding existing results in fixed point theory in the setting of partially ordered metric spaces. Moreover, by a similar approach, we prove that in the paper [V. Pragadeeswarar, M. Marudai, Best proximity points: approximation and optimization in partially ordered metric spaces, emph{Optim. Lett. 7 (2013), 1883–1892}] the results are not real generalizations but particular cases of existing fixed point theorems in the literature.
partially ordered set
proximally increasing mapping
ordered proximal contraction
best proximity point
2021
6
01
71
78
http://maco.lu.ac.ir/article-1-75-en.pdf
10.52547/maco.2.1.7
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Boundedness of Mikhlin Operator in Variable Exponent Morrey Space
Morteza
Koozehgar Kalleji
m-koozehgarkalleji@araku.ac.ir
S. G. Mikhlin proved the boundedness of the Fourier multiplier operator in the classical Lebesgue space if the multiplier function is a bounded function. In cite{MWW}, the authors obtained the same result of the classical Morrey space. In this paper, we prove that Mikhlin operator with bounded multiplier function is bounded operator on Morrey space with variable exponent which is containing the classical Lebesgue space with variable exponent and the classical Morrey space.
Fourier multiplier operator
variable exponent Morrey space
bounded operator.
2021
6
01
79
85
http://maco.lu.ac.ir/article-1-77-en.pdf
10.52547/maco.2.1.8
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
A Note on Local Entropy of Random Dynamical Systems
Mehdi
Rahimi
m10.rahimi@gmail.com
Ahmad
Shakouri
shakourisamad@gmail.com
Mohammad
Mohammadi
mm_math67@yahoo:.om
In this paper, we review some properties of the entropy of random dynamical systems. We define
a local entropy map for random dynamical systems and study some of its properties. We extract the
entropy of random dynamical systems from the introduced map.
Entropy
local entropy
Random Dynamical Systems.
2021
6
01
87
97
http://maco.lu.ac.ir/article-1-76-en.pdf
10.52547/maco.2.1.9
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Character amenability and character pseudo-amenability of certain Banach algebras
kobra
oustad
kobra.ostad@gmail.com
In this paper, we study character amenability of semigroup algebras `ell^{1}(S)` and weighted semigroup algebras $ ell^{1} (S,omega)$, for a certain semigroups such as right(left) zero semigroup, rectangular band semigroup, band semigroup and uniformly locally finite inverse semigroup. In particular, we show that for a right (left) zero semigroup or a rectangular band semigroup, character amenability, amenability, pseudo - amenability of $ ell^{1} (S,omega)$, for each weight $ omega $, are equivalent. We also show that for an archimedean semigroup $ S $, character pseudo - amenability, amenability, approximate amenability and pseudo-amenable of $ ell^{1}(S) $ are equivalent.
character amenability
character pseudo-amenable
rectangular band semigroup
archimedean semigroup.
2021
6
01
99
106
http://maco.lu.ac.ir/article-1-72-en.pdf
10.52547/maco.2.1.10
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Optimal inequalities for submanifolds in an $({varepsilon})$-almost para-contact manifolds
Mohammed
Danish Siddiqi
msiddiqi@jazanu.edu.sa
Ghodratallah
Fasihi-Ramandi
gh_fasihi@aut.ac.ir
Mohammed
Hasan
mhhusain@jazanu.edu.sa
The present research paper is concerned about a couple of optimal inequalities for the Casorati curvature of submanifolds in an $({varepsilon})$-almost para-contact manifolds precisely $(varepsilon)$-Kenmotsu manifolds endowed with semi-symmetric metric connection (briefly says $SSM$) by adopting the T. Opreachr('39')s optimization technique.
$({varepsilon})$-Kenmotsu manifold
semi-symmetric metric connection
Casorati curvatures
submanifolds
2021
6
01
107
118
http://maco.lu.ac.ir/article-1-82-en.pdf
10.52547/maco.2.1.11
Mathematical Analysis and Convex Optimization
MACO
2717-0624
2717-0624
10.22034
2021
2
1
Polynomial differential quadrature method for numerical solution of the generalized Black-Scholes equation
Zahra
sarvari
zsarvari8@gmail.com
Mojtaba
Ranjbar
ranjbar633@gmail.com
Shahram
Rezapour
rezapourshahram@yahoo.ca
In this paper, the polynomial differential quadrature method (PDQM) is implemented to find the numerical solution of the generalized Black-Scholes partial differential equation. The PDQM reduces the problem into a system of first order non-linear differential equations and then, the obtained system is solved by optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme. Numerical examples are given to illustrate the efficiency of the proposed method.
Option pricing
Generalized Black-Scholes equation
Numerical solutions
Polynomial differential quadrature method (PDQM)
Runge-Kutta method.
2021
6
01
119
130
http://maco.lu.ac.ir/article-1-80-en.pdf
10.52547/maco.2.1.12