Certain Inequalities for a General Class of Analytic and Bi-univalent Functions
Arzu
Akgul
Department of Mathematics, Faculty of Arts and Science, Kocaeli University, Kocaeli, Turkey.
author
text
article
2019
eng
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analytic and biunivalent functions studied in the literature. Coclusions are given for all special parameters and the functions. And finally, some relevant classes which are well known before are recognized and connections to previus results are made.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
1
13
https://scma.maragheh.ac.ir/article_34894_80ec7483698ee2dbc4429d51d8c0fa68.pdf
dx.doi.org/10.22130/scma.2018.70945.277
Common Fixed Point in Cone Metric Space for $\mathbf{s}-\mathbf{\varphi}$-contractive
Hamid
Shojaei
Department of Mathematics, Afzale Kermani, Institute of Higher Education,, Kerman, Iran.
author
Neda
Shojaei
Department of Mathematics, Afzale Kermani, Institute of Higher Education, Kerman, Iran.
author
Razieh
Mortazaei
Department of Mathematics, Afzale Kermani Institute of Higher Education, Kerman, Iran.
author
text
article
2019
eng
Huang and Zhang \cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei \cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric space has been introduced. We have defined $s-\phi$-contractive and obtained common fixed point theorem for a mapping $f,s$ which satisfies $s-\phi$-contractive.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
15
26
https://scma.maragheh.ac.ir/article_34861_6fee3e3433a295e0a5b51cab751a1de8.pdf
dx.doi.org/10.22130/scma.2018.65773.251
Functors Induced by Cauchy Extension of C$^\ast$-algebras
Kourosh
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.
author
Ali
Reza
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran.
author
text
article
2019
eng
In this paper, we give three functors $\mathfrak{P}$, $[\cdot]_K$ and $\mathfrak{F}$ on the category of C$^\ast$-algebras. The functor $\mathfrak{P}$ assigns to each C$^\ast$-algebra $\mathcal{A}$ a pre-C$^\ast$-algebra $\mathfrak{P}(\mathcal{A})$ with completion $[\mathcal{A}]_K$. The functor $[\cdot]_K$ assigns to each C$^\ast$-algebra $\mathcal{A}$ the Cauchy extension $[\mathcal{A}]_K$ of $\mathcal{A}$ by a non-unital C$^\ast$-algebra $\mathfrak{F}(\mathcal{A})$. Some properties of these functors are also given. In particular, we show that the functors $[\cdot]_K$ and $\mathfrak{F}$ are exact and the functor $\mathfrak{P}$ is normal exact.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
27
53
https://scma.maragheh.ac.ir/article_34860_c2c1e251586528beca7c7380ec92af0c.pdf
dx.doi.org/10.22130/scma.2018.73698.306
Admissible Vectors of a Covariant Representation of a Dynamical System
Alireza
Bagheri Salec
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
author
Seyyed Mohammad
Tabatabaie
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
author
Javad
Saadatmandan
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
author
text
article
2019
eng
In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system. In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to a uniform lattice of $G$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
55
61
https://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf
dx.doi.org/10.22130/scma.2018.72232.291
On Periodic Shadowing Property
Ali
Darabi
Department of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University of Ahvaz, P.O. Box 61357-43135, Ahvaz, Iran.
author
text
article
2019
eng
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chaotic in the sense of Li-Yorke. Moreover, any distal homeomorphisms on a compact metric space with the periodic shadowing property do not have the asymptotic average shadowing property.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
63
72
https://scma.maragheh.ac.ir/article_34858_a4fd5aa56afc0bc5a20ffba49c31265a.pdf
dx.doi.org/10.22130/scma.2018.69088.270
Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains
Sarfraz Nawaz
Malik
COMSATS University Islamabad, Wah Campus, Pakistan.
author
Sidra
Riaz
COMSATS University Islamabad, Wah Campus, Pakistan.
author
Mohsan
Raza
Government College University, Faisalabad, Pakistan.
author
Saira
Zainab
University of Wah, Wah Cantt, Pakistan.
author
text
article
2019
eng
In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied and investigated functional inequality. Our main focus in this article is to investigate the Fekete-Szegö functional for the class of analytic functions associated with hyperbolic regions. Tofurther enhance the worth of our work, we include similar problems for the inverse functions of these discussed analytic functions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
73
88
https://scma.maragheh.ac.ir/article_34490_b059b4717016c0654fad659818185cc6.pdf
dx.doi.org/10.22130/scma.2018.75275.329
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
Ahmad
Zireh
Department of Mathematics, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran.
author
Mohammad Mehdi
Shabani
Department of Mathematics, Shahrood University of Technology, Shahrood, Iran.
author
text
article
2019
eng
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-\gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
89
96
https://scma.maragheh.ac.ir/article_34489_14c23d55bb74230f516822884890b8a6.pdf
dx.doi.org/10.22130/scma.2018.72574.293
Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions
Hossain
Alizadeh Nazarkandi
Department of Mathematics,Marand Branch, Islamic azad university, Marand, Iran.
author
text
article
2019
eng
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $C\left (X, Y \right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
97
106
https://scma.maragheh.ac.ir/article_34488_9c921f0195723c22bf32660b63754739.pdf
dx.doi.org/10.22130/scma.2018.65402.258
A Class of Hereditarily $\ell_p(c_0)$ Banach spaces
Somayeh
Shahraki
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
author
Alireza
Ahmadi Ledari
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
author
text
article
2019
eng
We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $\ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $\ell_p(c_0)$ Banach spaces for $1\leq p<\infty$. Some other properties of this spaces are studied.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
107
116
https://scma.maragheh.ac.ir/article_34486_c7a628098e9007a03b77a6ac583624f8.pdf
dx.doi.org/10.22130/scma.2018.63393.239
Some Observations on Dirac Measure-Preserving Transformations and their Results
Azadeh
Alijani
Vali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.
author
Zohreh
Nazari
Vali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.
author
text
article
2019
eng
Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac measure space and its measure algebras are presented. Then all of measure spaces that are isomorphic with a Dirac measure space are characterized and the concept of a Dirac measure class is introduced and its elements are characterized. More precisely, it is shown that every absolutely continuous measure with respect to a Dirac measure belongs to the Dirac measure class. Finally, the relation between Dirac measure preserving transformations and strong-mixing is studied.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
117
126
https://scma.maragheh.ac.ir/article_34485_8c88bf3e36a3286401cca14068f4ff4c.pdf
dx.doi.org/10.22130/scma.2018.61771.226
A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs
Ali
Nakhaei Amroudi
Department of Mathematics and Statistics, Imam Hossein Comprehensive University, Tehran, Iran.
author
Ali Reza
Shojaeifard
Department of Mathematics and Statistics, Imam Hossein Comprehensive University,
Tehran, Iran.
author
Mojtaba
Pirhaji
Department of Mathematics and Statistics, Imam Hossein Comprehensive University,
Tehran, Iran.
author
text
article
2019
eng
An infeasible interior-point algorithm for mixed symmetric cone linear complementarity problems is proposed. Using the machinery of Euclidean Jordan algebras and Nesterov-Todd search direction, the convergence analysis of the algorithm is shown and proved. Moreover, we obtain a polynomial time complexity bound which matches the currently best known iteration bound for infeasible interior-point methods.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
127
146
https://scma.maragheh.ac.ir/article_34483_318abecd2c5960bbb1dffc0fb04f4297.pdf
dx.doi.org/10.22130/scma.2018.67206.260
Some Results on Polynomial Numerical Hulls of Perturbed Matrices
Madjid
Khakshour
Department of Applied Mathematics, Faculty of New Science and Technology, Graduate University of Advanced Technology of Kerman, Kerman, Iran.
author
Gholamreza
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
author
text
article
2019
eng
In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
147
158
https://scma.maragheh.ac.ir/article_34868_8120ae5d784f7ec2e9a9ca542806d1f9.pdf
dx.doi.org/10.22130/scma.2018.80849.388
On the Structure of Metric-like Spaces
Amin
Hosseini
Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran.
author
Ajda
Fosner
University of Primorska, Cankarjeva 5, SI-6000 Koper, Slovenia.
author
text
article
2019
eng
The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points. Furthermore, this paper is an attempt to present compatibility definitions for the distance between a point and a subset of a metric-like space and also for the distance between two subsets of a metric-like space. In this study, we define the diameter of a subset of a metric-like space, and then we provide a definition for bounded subsets of a metric-like space. In line with the aforementioned issues, various examples are provided to better understand this space.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
159
171
https://scma.maragheh.ac.ir/article_34895_b50d85dc44f99ed205ebcea9caa64428.pdf
dx.doi.org/10.22130/scma.2018.74393.316
A New Model for the Secondary Goal in DEA
Harun
Kinaci
Erciyes University, Faculty of Economics and Administrative Sciences, Business Department, Kayseri, Turkey.
author
Vadoud
Najjari
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
author
text
article
2019
eng
The purpose of the current paper is to propose a new model for the secondary goal in DEA by introducing secondary objective function. The proposed new model minimizes the average of the absolute deviations of data points from their median. Similar problem is studied in a related model by Liang et al. (2008), which minimizes the average of the absolute deviations of data points from their mean. By using two well known data sets, which are also used by Liang et al.(2008), and Greene (1990) we compare the results of the proposed new model and several other models.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
173
183
https://scma.maragheh.ac.ir/article_34893_18ab438caead64a825e5d7d66eaa3a42.pdf
dx.doi.org/10.22130/scma.2018.74414.315
Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions
Mohammad
Shahriari
Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.
author
Reza
Akbari
Department of Mathematical Sciences, Payame Noor University, Iran.
author
Mostafa
Fallahi
Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran.
author
text
article
2019
eng
In this paper, we study the inverse problem for Dirac differential operators with discontinuity conditions in a compact interval. It is shown that the potential functions can be uniquely determined by the value of the potential on some interval and parts of two sets of eigenvalues. Also, it is shown that the potential function can be uniquely determined by a part of a set of values of eigenfunctions at an interior point and parts of one or two sets of eigenvalues.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
185
197
https://scma.maragheh.ac.ir/article_32917_c162c9b7b3659eb539aff061f231472b.pdf
dx.doi.org/10.22130/scma.2018.85988.457
A Subclass of Analytic Functions Associated with Hypergeometric Functions
Santosh B.
Joshi
Department of Mathematics, Walchand College of Engineering, Sangli 416415, India.
author
Haridas H.
Pawar
Department of Mathematics, Sveri's College of Engineering, Pandharpur 413304, India.
author
Teodor
Bulboaca
Faculty of Mathematics and Computer Science, Babe\c{s}-Bolyai University, 400084 Cluj-Napoca, Romania.
author
text
article
2019
eng
In the present paper, we have established sufficient conditions for Gaus\-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $\mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
14
v.
1
no.
2019
199
210
https://scma.maragheh.ac.ir/article_34484_8429722af9a5471af3bde6ec45a15f94.pdf
dx.doi.org/10.22130/scma.2018.72370.290