Sahand Communications in Mathematical AnalysisSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Tue, 18 Jun 2019 07:31:39 +0100FeedCreatorSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Feed provided by Sahand Communications in Mathematical Analysis. Click to visit.Certain Inequalities for a General Class of Analytic and Bi-univalent Functions
http://scma.maragheh.ac.ir/article_34894_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of ...
http://scma.maragheh.ac.ir/article_34954_0.html
In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of this extension, we analyze the existence of solution for a system of nonlinear functional integral equations of Volterra type. Finally, we present an example to show the effectiveness of our results. We use the technique of measure of noncompactness to obtain our results.Mon, 22 Apr 2019 19:30:00 +0100Common Fixed Point in Cone Metric Space for $\mathbf{s}-\mathbf{\varphi}$-contractive
http://scma.maragheh.ac.ir/article_34861_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces
http://scma.maragheh.ac.ir/article_34963_0.html
In this paper, we introduce $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel families and their multipliers in Hilbert spaces and investigate some of their properties. We show that under some conditions sum of two $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frames is a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frame. Also, we investigate when a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel multiplier is a p-Schatten class operator.Tue, 23 Apr 2019 19:30:00 +0100Functors Induced by Cauchy Extension of C$^\ast$-algebras
http://scma.maragheh.ac.ir/article_34860_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Application of Convolution of Daubechies Wavelet in Solving 3D Microscale DPL Problem
http://scma.maragheh.ac.ir/article_34964_0.html
In this work, the triple convolution of Daubechies wavelet is used to solve the three dimensional (3D) microscale Dual Phase Lag (DPL) problem. Also, numerical solution of 3D time-dependent initial-boundary value problems of a microscopic heat equation is presented. To generate a 3D wavelet we used the triple convolution of a one dimensional wavelet. Using convolution we get a scaling function and a sevenfold 3D wavelet and all of our computations are based on this new set to approximate in 3D spatial. Moreover, approximation in time domain is based on finite difference method. By substitution in the 3D DPL model, the differential equation converts to a linear system of equations and related system is solved directly. We use the Lax-Richtmyer theorem to investigate the consistency, stability and convergence analysis of our method. Numerical results are presented and compared with the analytical solution to show the efficiency of the method.Tue, 23 Apr 2019 19:30:00 +0100Admissible Vectors of a Covariant Representation of a Dynamical System
http://scma.maragheh.ac.ir/article_34859_5570.html
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 $G$.Sun, 31 Mar 2019 19:30:00 +0100$p$-adic Dual Shearlet Frames
http://scma.maragheh.ac.ir/article_34965_0.html
We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case. Using the group $G_p$ consist of all $p$-adic numbers that all of its elements have a square root, we defined the continuous $p$-adic shearlet system associated with $L^2left(Q_p^{2}right)$. The discrete $p$-adic shearlet frames for $L^2left(Q_p^{2}right)$ is discussed. Also we prove that the frame operator $S$ associated with the group $G_p$ of all with the shearlet frame $SHleft( psi; Lambdaright)$ is a Fourier multiplier with a function in terms of $widehat{psi}$. For a measurable subset $H subset Q_p^{2}$, we considered a subspace $L^2left(Hright)^{vee}$ of $L^2left(Q_p^{2}right)$. Finally we give a necessary condition for two functions in $L^2left(Q_p^{2}right)$ to generate a p-adic dual shearlet tight frame via admissibility.Tue, 23 Apr 2019 19:30:00 +0100On Periodic Shadowing Property
http://scma.maragheh.ac.ir/article_34858_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Theory of Hybrid Fractional Differential Equations with Complex Order
http://scma.maragheh.ac.ir/article_34967_0.html
We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0<mleq 1$, $alphain mathbb{R}$, in Caputo sense. Using Dhage's type fixed point theorem for the product of abstract nonlinear operators in Banach algebra; one of the operators is $mathfrak{D}$- Lipschitzian and the other one is completely continuous, we prove the existence of mild solutions of initial value problems for hybrid fractional differential equations. Finally, an application to solve one-variable linear fractional Schr"odinger equation with complex order is given.Tue, 23 Apr 2019 19:30:00 +0100Fekete-SzegĂ¶ Problem of Functions Associated with Hyperbolic Domains
http://scma.maragheh.ac.ir/article_34490_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules
http://scma.maragheh.ac.ir/article_34968_0.html
In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective operator is replaced by unitary and invertible operators, respectively. Moreover, we show that new multi-frames (resp. multi-Riesz bases) can be obtained as linear combinations of known ones using coefficients which are operators in a certain class.Tue, 23 Apr 2019 19:30:00 +0100On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
http://scma.maragheh.ac.ir/article_34489_5570.html
‎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.Sun, 31 Mar 2019 19:30:00 +0100$\sigma$-Connes Amenability and Pseudo-(Connes) Amenability of Beurling Algebras
http://scma.maragheh.ac.ir/article_34969_0.html
In this paper, pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.Tue, 23 Apr 2019 19:30:00 +0100Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions
http://scma.maragheh.ac.ir/article_34488_5570.html
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ 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.Sun, 31 Mar 2019 19:30:00 +0100Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
http://scma.maragheh.ac.ir/article_35070_0.html
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions. The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach contraction principle is that it also gives the convergence of an iterative scheme to a unique fixed point. In this paper, we consider $(X, M, *)$ to be fuzzy metric spaces in Park's sense and we show our results for fixed points of contractive and nonexpansive multifunctions on Hausdorff fuzzy metric space.Tue, 30 Apr 2019 19:30:00 +0100A Class of Hereditarily $\ell_p(c_0)$ Banach spaces
http://scma.maragheh.ac.ir/article_34486_5570.html
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 $1leq p<infty$. Some other properties of this spaces are studied.Sun, 31 Mar 2019 19:30:00 +0100Bounded Approximate Character Amenability of Banach Algebras
http://scma.maragheh.ac.ir/article_35435_0.html
The bounded approximate version of $varphi$-amenability and character amenability are introduced and studied. These new notions are characterized in several different ways, and some hereditary properties of them are established. The general theory for these concepts is also developed. Moreover, some examples are given to show that these notions are different from the others. Finally, bounded approximate character amenability of some Banach algebras related to locally compact groups are investigated.Fri, 31 May 2019 19:30:00 +0100Some Observations on Dirac Measure-Preserving Transformations and their Results
http://scma.maragheh.ac.ir/article_34485_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100A Full-NT Step Infeasible Interior-Point Algorithm for Mixed Symmetric Cone LCPs
http://scma.maragheh.ac.ir/article_34483_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Some Results on Polynomial Numerical Hulls of Perturbed Matrices
http://scma.maragheh.ac.ir/article_34868_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100On the Structure of Metric-like Spaces
http://scma.maragheh.ac.ir/article_34895_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100A New Model for the Secondary Goal in DEA
http://scma.maragheh.ac.ir/article_34893_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions
http://scma.maragheh.ac.ir/article_32917_5570.html
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.Sun, 31 Mar 2019 19:30:00 +0100A Subclass of Analytic Functions Associated with Hypergeometric Functions
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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.Sun, 31 Mar 2019 19:30:00 +0100