Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Generalized Mappings Related to Hermite-Hadamard Inequality
1
13
EN
Naser
Abbasi
Lorestan University
In this paper we introduce two new mapping in connection to Hermite-Hadamard type inequality. Some results concerning these mappings associated to the celebrated Hermite-Hadamard integral inequality for preinvex functions are given.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Existence of at least one non-trivial periodic solution for a class of ordinary p-Hamiltonian systems
15
22
EN
Abdollah
Nazari
Department of Mathematics, Kazerun Branch, Islamic Azad University,Kazerun, Iran
Mohammad Reza
Heidari Tavani
Department of Mathematics, Ramhormoz Branch, Islamic Azad University,Ramhormoz, Iran
Esmaeil
Mombeini
Department of Mathematics, Ramhormoz Branch, Islamic Azad University,Ramhormoz, Iran
Based on recent variational methods for smooth functionals defined on reflexive Banach spaces, We prove the existence of at least one
non-trivial solution for a class of p-Hamiltonian systems. Employing one critical point theorem, existence of at least one weak solutions is ensured. This approach is based on variational methods and critical point theory. The technical approach is mainly based on the at least one non -trivial solution critical point theorem of G. Bonanno.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Application of Differential Transformation Method to the Dullin-Gottwald-Holm equation
23
35
EN
Bahman
Babayar-Razlighi
Department of Mathematics, Qom University of Technology, Qom, Iran
Babak
Soltanalizadeh
Department of Biostatistics and Data Science, UT Health Science Center at Houston, Houston, TX, USA
Nonlinear problems in partial differential equations are open problems in many field of mathematics and engineering. So associated with the structure of the problems, many analytical and numerical methods are obtained. We show that the differential transformation method is an appropriate method for the Dullin-Gottwald-Holm equation (DGH), which is a nonlinear partial differential equation arise in many physical phenomenon. Hence in this paper, the differential transform method (DTM) is applied to the Dullin-Gottwald-Holm equation. We obtain the exact solutions of Dullin-Gottwald-Holm equation by using the DTM. In addition, we give some examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equations. These results show that this technique is easy to apply and provide a suitable method for solving differential equations. To our best knowledge, the theorem presented in Section 2 has been not introduced previously. We presented and proved this new theorem which can be very effective for formulating the nonlinear forms of partial differential equations.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Characterizing Left or right centralizers on $ star $-algebras through orthogonal elements
37
41
EN
Hamid
Farhadi
University of Kurdistan
In this paper we consider the problem of characterizing linear maps on special $ star $-algebras behaving like left or right centralizers at orthogonal elements and obtain some results in this regard.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Automatic Continuity of Surjective Almost Derivations on Frechet Q-Algebras
43
48
EN
C. GANESA
MOORTHY
Alagappa University
GURUSAMY
SIVA
Alagappa University
In 1971 R. L. Carpenter proved that every derivation T on a semisimple commutative Frechet algebra A with identity is continuous. By relaxing the commutativity assumption on A and adding the surjectivity assumption on T, we derive a corresponding continuity result, for a new concept of almost derivations on Frechet algebras in this article. Also, it is further proved that every surjective almost derivation T on non commutative semisimple Frechet Q-algebras A with an additional condition on A, is continuous. Moreover, an example is provided to illustrate our main result.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
A Collection of Local Spectra Preserving Maps
49
60
EN
Rohollah
Parvinianzadeh
University of Yasouj
Jumakhan
Pazhman
Ghor Institute of higher education
We collection some results about maps on the algebra of all bounded operators that preserve the local spectrum and local spectral radius at nonzero vectors. Also, we described maps that preserve operators of local spectral radius zero at points and discuss several problems in this direction. Finally, we collection maps that preserve the local spectral subspace of operators associated with any singleton.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Objective Bayesian Analysis For a Two-parameters Exponential Distribution
61
71
EN
Mehdi
Jabbari Nooghabi
Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran.
Ali
Soori
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.
Parviz
Nasiri
Department of Statistics, University of Payam Noor, 19395-4697 Tehran, Iran.
Farshin
Hormozinejad
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.
Mohammadreza
Ghalani
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.
In any Bayesian inference problem, the posterior distribution is a product of the
likelihood and the prior: thus, it is a ected by both in cases where one possesses little or no
information about the target parameters in advance. In the case of an objective Bayesian
analysis, the resulting posterior should be expected to be universally agreed upon by ev-
eryone, whereas . subjective Bayesianism would argue that probability corresponds to the
degree of personal belief. In this paper, we consider Bayesian estimation of two-parameter
exponential distribution using the Bayes approach needs a prior distribution for parame-
ters. However, it is dicult to use the joint prior distributions. Sometimes, by using linear
transformation of reliability function of two-parameter exponential distribution in order to
get simple linear regression model to estimation of parameters. Here, we propose to make
Bayesian inferences for the parameters using non-informative priors, namely the (depen-
dent and independent) Je reys' prior and the reference prior. The Bayesian estimation was
assessed using the Monte Carlo method. The criteria mean square error was determined
evaluate the possible impact of prior speci cation on estimation. Finally, an application on
a real dataset illustrated the developed procedures.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Numerical Investigation of Wave Equations in Large Domains via a Novel Variational Iteration Method
73
83
EN
Hossein
Ghaneai
Department of Computer Engineering, Meybod University, Meybod, Iran
Mohammad
Mirabi
Department of Industrial Engineering, Meybod University, Meybod, Iran
Reza
Rashidi
Department of MechanicalEngineering, Meybod University, Meybod, Iran
The value of an auxiliary parameter incorporated into the well-known variational iteration method (VIM) to obtain solutions of wave equations in unbounded domains is discussed in this article. The suggested method, namely the optimal variational iteration method, is investigated for convergence. Furthermore, the proposed method is tested on one-dimensional and two-dimensional wave equations in unbounded domains in order to better understand the solution mechanism and choose the best auxiliary parameter.Comparisons with results from the standard variational iteration procedure demonstrate that the auxiliary parameter is very useful in tracking the convergence field of the approximate solution.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Construction of Nonnegative Matrix for Special Spectrum
85
95
EN
Alimohammad
Nazari
Arak university of Iran
Fahimeh
Sherafat
Arak university of Iran
The construction of a nonnegative matrix for a given set of eigenvalues is one of the objectives of this paper. The generalization of the cases discussed in the previous papers as well as finding a recursive solution for the Suleimanova spectrum are other points that are studied in this paper.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Convolution Weighted Orlicz Algebras in Context of σ-Compact Groups
97
103
EN
Alireza
Bagheri Salec
University of Qom
In this paper, the conditions are considered that a weighted Orlicz space, LΦw(G), is a Banach algebra with convolution as multiplication in context of a locally compact σ-compact groups. We also for a class of Orlicz spaces, obtain an equivalent condition, such that a weighted Orlicz space to be a convolution Banach algebra. This resultes generalized some known results in Lebesgue spaces.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
A Note on The Best Approximation in Spaces of Affine Functions
105
107
EN
Maysam
Maysami Sadr
Department of Mathematics
The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel's duality theory.
Lorestan University
Mathematical Analysis and Convex Optimization
2717-0624
3
1
2022
6
1
Existence and uniqueness solution of the Hammerstein type fractional equations via the fixed point theorems
109
115
EN
Somayyeh
Dadsetadi
Semnan University
Leila
Torkzadeh
Semnan University
Kazem
Nouri
Semnan University
The aim of this paper is to investigate the existence and uniqueness of solution for a class of nonlinear integro-differential equations known as Hammerstein type. We study fractional equations in the Banach space whose derivative is of the Caputo type. The existence of solution is studied by using the Schauder's fixed point theorem, and the uniqueness is established via a generalization of the Banach fixed point theorem. Finally, an example is given to illustrate the analytical findings.