@article{
author = {Abbasi, Naser},
title = {Generalized Mappings Related to Hermite-Hadamard Inequality},
abstract ={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. },
Keywords = {Hermite-Hadamard inequality, invex sets, preinvex functions},
volume = {3},
Number = {1},
pages = {1-13},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.1},
url = {http://maco.lu.ac.ir/article-1-95-en.html},
eprint = {http://maco.lu.ac.ir/article-1-95-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Nazari, Abdollah and HeidariTavani, Mohammad Reza and Mombeini, Esmaeil},
title = {Existence of at least one non-trivial periodic solution for a class of ordinary p-Hamiltonian systems},
abstract ={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.},
Keywords = {Multiple periodic solutions, Hamiltonian systems, Critical point theory, Variational methods.},
volume = {3},
Number = {1},
pages = {15-22},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.2},
url = {http://maco.lu.ac.ir/article-1-102-en.html},
eprint = {http://maco.lu.ac.ir/article-1-102-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Babayar-Razlighi, Bahman and Soltanalizadeh, Babak},
title = {Application of Differential Transformation Method to the Dullin-Gottwald-Holm equation},
abstract ={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.},
Keywords = {Dullin-Gottwald-Holm equation, Differential Transformation method, Spectral method.},
volume = {3},
Number = {1},
pages = {23-35},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.3},
url = {http://maco.lu.ac.ir/article-1-99-en.html},
eprint = {http://maco.lu.ac.ir/article-1-99-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Farhadi, Hami},
title = {Characterizing Left or right centralizers on $ star $-algebras through orthogonal elements},
abstract ={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.},
Keywords = {Left centralizer, right centralizer, $ star $-algebra, orthogonal element, zero product determined, standard operator algebra},
volume = {3},
Number = {1},
pages = {37-41},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.4},
url = {http://maco.lu.ac.ir/article-1-98-en.html},
eprint = {http://maco.lu.ac.ir/article-1-98-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {MOORTHY, C. GANESA and SIVA, GURUSAMY},
title = {Automatic Continuity of Surjective Almost Derivations on Frechet Q-Algebras},
abstract ={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.},
Keywords = {Almost derivation, Automatic continuity, Frechet Q-algebras.},
volume = {3},
Number = {1},
pages = {43-48},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.5},
url = {http://maco.lu.ac.ir/article-1-96-en.html},
eprint = {http://maco.lu.ac.ir/article-1-96-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Parvinianzadeh, Rohollah and Pazhman, Jumakh},
title = {A Collection of Local Spectra Preserving Maps},
abstract ={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. },
Keywords = {Local spectrum, Local spectral radius, Local spectral subspace, Nonlinear preservers, Matrices.},
volume = {3},
Number = {1},
pages = {49-60},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.6},
url = {http://maco.lu.ac.ir/article-1-104-en.html},
eprint = {http://maco.lu.ac.ir/article-1-104-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {JabbariNooghabi, Mehdi and Soori, Ali and Nasiri, Parviz and Hormozinejad, Farshin and Ghalani, Mohammadrez},
title = {Objective Bayesian Analysis For a Two-parameters Exponential Distribution},
abstract ={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.},
Keywords = {Jeffreys' prior, two-parameters exponential distribution, objective Bayesian analysis, posterior distribution, MSE},
volume = {3},
Number = {1},
pages = {61-71},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.7},
url = {http://maco.lu.ac.ir/article-1-103-en.html},
eprint = {http://maco.lu.ac.ir/article-1-103-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Ghaneai, Hossein and Mirabi, Mohammad and Rashidi, Rez},
title = {Numerical Investigation of Wave Equations in Large Domains via a Novel Variational Iteration Method},
abstract ={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.},
Keywords = {Wave equations, Unbounded domaines, Variational iteration method, Optimal variational iteration method, Auxiliary parameter, Hermite-Gauss quadrature.},
volume = {3},
Number = {1},
pages = {73-83},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.8},
url = {http://maco.lu.ac.ir/article-1-105-en.html},
eprint = {http://maco.lu.ac.ir/article-1-105-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Nazari, Alimohammad and Sherafat, Fahimeh},
title = {Construction of Nonnegative Matrix for Special Spectrum},
abstract ={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.},
Keywords = {Nonnegative matrix, Spectrum of matrix, Perron},
volume = {3},
Number = {1},
pages = {85-95},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.9},
url = {http://maco.lu.ac.ir/article-1-97-en.html},
eprint = {http://maco.lu.ac.ir/article-1-97-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {BagheriSalec, Alirez},
title = {Convolution Weighted Orlicz Algebras in Context of σ-Compact Groups},
abstract ={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.},
Keywords = {locally compact group, σ-compact group, convolution algebra, weighted Orlicz space, Orlicz spaces},
volume = {3},
Number = {1},
pages = {97-103},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.10},
url = {http://maco.lu.ac.ir/article-1-107-en.html},
eprint = {http://maco.lu.ac.ir/article-1-107-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {MaysamiSadr, Maysam},
title = {A Note on The Best Approximation in Spaces of Affine Functions},
abstract ={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. },
Keywords = {Best approximation, convex set, affine function, sandwich theorem.},
volume = {3},
Number = {1},
pages = {105-107},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.11},
url = {http://maco.lu.ac.ir/article-1-106-en.html},
eprint = {http://maco.lu.ac.ir/article-1-106-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}
@article{
author = {Dadsetadi, Somayyeh and Torkzadeh, Leila and Nouri, Kazem},
title = {Existence and uniqueness solution of the Hammerstein type fractional equations via the fixed point theorems},
abstract ={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.},
Keywords = {Fractional Hammerstein integro-differential equations, Existence and uniqueness, Schauder's fixed point theorem, Banach fixed point theorem.},
volume = {3},
Number = {1},
pages = {109-115},
publisher = {Lorestan University},
doi = {10.52547/maco.3.1.12},
url = {http://maco.lu.ac.ir/article-1-110-en.html},
eprint = {http://maco.lu.ac.ir/article-1-110-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
issn = {2717-0624},
eissn = {2717-0624},
year = {2022}
}