European Journal of Pure and Applied Mathematics
https://www.ejpam.com/index.php/ejpam
<h3>Welcome</h3><p align="justify"><strong></strong></p><p align="justify"><em>European Journal of Pure and Applied Mathematics</em> is an international electronic journal which is devoted to original research in the field of pure and applied mathematics and their teaching and learning. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering, natural sciences or social sciences. This journal publishes high quality researches in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, topology, number theory, approximation theory, mathematical methods in operational research, theoretical statistics and econometrics, and theoretical computer science.</p><p align="justify">Another feature of the journal is to publish papers on mathematics education which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level. Although the journal focuses on the original research articles, it also welcomes reviews and short notes. All submitted papers are peer-reviewed.</p><p align="justify"><strong>Editorial Board</strong></p><p align="justify">The<strong> </strong>Editorial Board consists of prominent scientists as some are Nobel Laureates.</p><p align="justify">See<strong></strong> <a href="/index.php/ejpam/about/editorialTeam">editorial board</a> details.</p><p align="justify"><strong>Readership</strong></p><p>The journal is a rostrum for the audience of mathematicians, operational researchers, statisticians, econometricians, computer scientists, mathematics educators and all scientists using mathematics.</p><p><strong>Journal Impact </strong></p><p class="MsoNormal">Papers: 439, Citations: 2,132, <strong>Cites/paper (Impact Factor): 4.86</strong>. </p><p>The current EJPAM Journal impact is calculated using Harzing's Publish or Perish software that employs Google Scholar on 22.01.2018.</p><p><strong>Abstracted/Indexed in:</strong></p><p align="justify">Thomson Reuters (Clarivate Analytics) Emerging Sources Citation Index (ESCI), Web of Science, Mathematical Reviews, Zentralblatt MATH, EBSCO, Chambridge Scientific Abstracts, IndexCopernicus™, International Abstracts in Operations Research, Ulrich's Periodicals Directory, <a title="Arastirmax Bilimsel Yayın İndeksi" href="http://www.arastirmax.com/dergi/european-journal-pure-and-applied-mathematics" target="_blank" rel="noopener">Arastirmax</a>, CrossRef</p> <p align="justify">ISSN:1307-5543 <br />Inaugural publication: January 2008 <br />The journal is quarterly</p><p align="justify"><strong>Publisher</strong></p><p align="justify">European Journal of Pure and Applied Mathematics is published by<strong> New York Business Global</strong>, USA.</p>Arrayen-USEuropean Journal of Pure and Applied Mathematics1307-5543<p align="justify">Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to <em>European Journal of Pure and Applied Mathematics. </em></p><p align="justify"><em>European Journal of Pure and Applied Mathematics will be Copyrihgt Holder.</em></p><p align="justify">If necessary, authors are responsible for obtaining permissions to reprint previously published figures, tables, and other material.</p>Transmuted Modified Weibull distribution: Properties and Application
https://www.ejpam.com/index.php/ejpam/article/view/3208
This research investigates the potential usefulness of the transmuted<br />modified Weibull distribution for modelling lifetime data. We<br />attain the diagnostic shapes of the density and hazard functions. We<br />formulate the expressions for the moments,incomplete moments, Renyi<br />entropy and q- entropy. We estimate the mean, variance, coefficient<br />of variation, coefficient of skewness and coefficient of kurtosis based<br />on moment approach. The method of maximum likelihood is used for<br />estimating the model parameters. We illustrate the use of transmuted<br />modified Weibull distribution with an application to survival data.Muhammad Shuaib KhanRobert KingIrene L. Hudson
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112362374The Proofs of Product Inequalities in Vector Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3209
In this paper, we introduce the proofs of product inequalities:<br />u v ≤ u + v , for all u, v ∈ [0, 2], and u + v ≤ u v , for all<br />u, v ∈ [2, ∞). The first product inequality u v ≤ u + v holds for<br />any two vectors in the interval [0, 1] in Holder’s space and also valid any<br />two vectors in the interval [1, 2] in the Euclidean space. On the other<br />hand, the second product inequality u + v ≤ u v ∀u, v ∈ [2, ∞)<br />only in Euclidean space. By applying the first product inequality to the<br />L p spaces, we observed that if f : Ω → [0, 1], and g : Ω → R, then<br />f p g p ≤ f p + g p . Also, if f, g : Ω → R, then f p + g p ≤<br />f p g p .<br /><br />Benedict BarnesE.D.J. Owusu-AnsahS.K. AmponsahC. Sebil
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112375389On the Elementary Solution for the Partial Differential Operator $\circledcirc_c^{k}$ Related to the Wave Equation
https://www.ejpam.com/index.php/ejpam/article/view/3223
<p>In this article, we defined the operator $\diamondsuit _{m,c}^{k}$ which is iterated $k$-times and is defined by<br />$$\diamondsuit _{m,c}^{k}=\left[\left(\frac{1}{c^2}\sum_{i=1}^{p}\frac{\partial ^{2}}{\partial x_{i}^{2}} +\frac{m^{2}}{2}\right)^{2} - \left(\sum_{j=p+1}^{p+q}\frac{\partial ^{2}}{\partial x_{j}^{2}} - \frac{m^{2}}{2}\right)^{2}\right]^{k},$$<br />where $m$ is a nonnegative real number, $c$ is a positive real number and $p+q=n$ is the dimension of the $n$-dimensional Euclidean space $\mathbb{R}^{n}$, $x=(x_{1},\ldots x_{n})\in\mathbb{R}^{n}$ <br />and $k$ is a nonnegative integer. We obtain a causal and anticausal solution<br />of the operator $\diamondsuit _{m,c}^{k}$, iterated $k$-times.</p>Sudprathai Bupasiri
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112390399Local Approximation Results for Stancu Variant of Modified Szasz-Mirakjan Operators
https://www.ejpam.com/index.php/ejpam/article/view/3214
The aim of this paper is to obtain local approximation results for Stancu type generalization of modified Sz$\acute{a}$sz-Mirakjan operators. First, we calculate moments of the operators. Some direct results of the operators are investigated. The rate of convergence of the operators is evaluated. In last section of the paper, the Voronovskaya result is obtained.Ankita R. DevdharaVishnu Narayan Mishra
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112400409Secret Sharing Schemes Based on Extension Fields
https://www.ejpam.com/index.php/ejpam/article/view/3226
A (t, n)−secret sharing scheme is a method of distribution of information among n participants such that t > 1 can reconstruct the secret but t − 1 cannot. There is numerous research about secret sharing schemes. However there is little research on secret sharing schemes based on extension fields. In this paper, we study secret sharing schemes based on extension fields over finite fields. We use two methods to recover the secret. We define the access structure and the accessibility degree for these secret sharing schemes. We also describe our theorems, definitions and a corollarySelda Çalkavur
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112410416Subalgebras and Ideals in BCK/BCI-algebras Based on Uni-hesitant Fuzzy Set Theory
https://www.ejpam.com/index.php/ejpam/article/view/3246
<p>In the present paper, the notions of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals in BCK-algebras and BCI-algebras are introduced, and several related properties are investigated. Characterizations of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are considered, and a new uni-hesitant fuzzy algebra (resp. uni-hesitant fuzzy (closed) ideal) from old one is established. Relations between uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are discussed, and conditions for a uni-hesitant fuzzy ideal to be hesitant closed are provided.</p>G. MuhiuddinShuaa Aldhafeeri
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112417430On M-Principally Injective and Projective S-acts
https://www.ejpam.com/index.php/ejpam/article/view/3229
In this paper, we have introduced the notions of M-cyclic S-acts,<br />M-principally projective and injective S-acts, semi-projective S-acts and co-<br />cyclic S-acts, whereMis a right S-act. Several interesting properties, charac-<br />terizations relations between newly dened structures have been investigated.Javed HussainMuhammad Shabir
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112431443Lie Algebras with BCL Algebras
https://www.ejpam.com/index.php/ejpam/article/view/3219
The subject matter of this work is hoping for a new relationship between the Lie algebras and the algebra of logic, which will constitute an important part of our study of "pure'' algebra theory. $BCL$ algebras as a class of logical algebras is can be generated by a Lie algebra. The opposite is also true that when special conditions occur. The aim of this paper is to prove several theorems on Lie algebras with $BCL$ algebras. I introduce the notion of a "pseudo-association'' which I propose as the adjoint notion of $BCL$ algebra in the abelian group.Yonghong Liu
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112444448Almost Prime Ideal in Gamma Near Ring
https://www.ejpam.com/index.php/ejpam/article/view/3193
<p>In this manuscript we introduce the notion of almost prime ideals in -near-rings along with few of their characterizations. We also present the interesting relations among almost prime, prime and primary ideal in -nearrings.</p>Waheed Ahmad KhanAdnan MuhammadAbdelghani TaoutiJameel Maki
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112449456On Approximation Properties of (p,q)-Bernstein Operators
https://www.ejpam.com/index.php/ejpam/article/view/3213
<p>In this study, a (p,q)-analogue of Bernstein operators is introduced<br />and approximation properties of (p,q)-Bernstein operators are<br />investigated. Some basic theorems are proved. The rate of approximation<br />by modulus of continuity is estimated.</p>Döne KarahanAydın İzgi
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112457467A New Approach to Construct Secret Sharing Schemes Based on Field Extensions
https://www.ejpam.com/index.php/ejpam/article/view/3250
<p>Secret sharing has been a subject of study since 1979. It is important that a secret key, passwords, information of the map of a secret place or an important formula must be kept<br />secret. The main problem is to divide the secret into pieces instead of storing the whole for a secret sharing. A secret sharing scheme is a way of distributing a secret among a nite set of people such that only some distinguished subsets of these subsets can recover the secret. The collection of these special subsets is called the access structure of the scheme.<br />In this paper, we propose a new approach to construct secret sharing schemes based on field extensions.</p>Fatih MollaSelda Çalkavur
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112468475On Semilattice Congruences on Hypersemigroups and on Ordered Hypersemigroups
https://www.ejpam.com/index.php/ejpam/article/view/3266
We prove that if $H$ is an hypersemigroup (resp. ordered hypersemigroup) and $\sigma$ is a semilattice congruence (resp. complete semilattice congruence) on $H$, then there exists a family $\cal A$ of proper prime ideals of $H$ such that $\sigma$ is the intersection of the semilattice congruences $\sigma_I$, $I\in\cal A$ ($\sigma_I$ is the known relation defined by $a\sigma_I b$ $\Leftrightarrow$ $a,b\in I$ or $a,b\notin I$). Furthermore, we study the relation between the semilattices of an ordered semigroup and the ordered hypersemigroup derived by the hyperoperations $a\circ b=\{ab\}$ and $a\circ b:=\{t\in S \mid t\le ab\}$. We introduce the concept of a pseudocomplete semilattice congruence as a semilattice congruence $\sigma$ for which $\le\subseteq\sigma$ and we prove, among others, that if $(S,\cdot,\le)$ is an ordered semigroup, $(S,\circ,\le)$ the hypersemigroup defined by $t\in a\circ b$ if and only if $t\le ab$ and $\sigma$ is a pseudocomplete semilattice congruence on $(S,\cdot,\le)$, then it is a complete semilattice congruence on $(S,\circ,\le)$. Illustrative examples are given.Niovi Kehayopulu
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112476492On McShane-Stieltjes Integrals of Interval-valued Functions and Fuzzy-number-valued Functions on Time Scales
https://www.ejpam.com/index.php/ejpam/article/view/3200
<p>In this paper, we introduce the notion of the McShane-Stieltjes (MS) integrals of interval-valued functions and fuzzy-number-valued functions on time scales which are extensions of the McShane (M) integrals of interval-valued functions and fuzzy-number-valued functions on time scales [3] and investigate some of their<br />properties.</p>Muawya Elsheikh Hamid
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112493504Near Ideals in Near Semigroups
https://www.ejpam.com/index.php/ejpam/article/view/2674
<p align="LEFT">In this paper, we introduced the notion of near subsemigroups, near ideals, near biideals and homomorphisms of near semigroups on near approximation spaces. Then we give some properties of these near structures.</p>Nurettin Bağırmaz
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112505516Soft Uni-Abel-Grassmann's Groups
https://www.ejpam.com/index.php/ejpam/article/view/3228
<p>In this paper, we define soft union AG-group (abbreviated as soft uni-AG-group).<br />We also define e-set and a-inclusion of soft uni-AG-groups, normal soft uni-AG-subgroups, conjugate of soft uni-AG-groups and commutators of AG-groups. We investigate various properties of these notions and provide a variety of relevant examples that are produced by a computer package GAP to illustrate these notations completely.</p>Aman UllahFaruk KaraaslanImtiaz Ahmad
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112517536Modifications of the Multistep Optimal Homotopy Asymptotic Method to Some Nonlinear KdV-Equations
https://www.ejpam.com/index.php/ejpam/article/view/3194
<p>In this article we have introduced the mathematical theory of multistep optimal homotopy asymptotic method (MOHAM). The proposed method is implemented to different models having system of partial differential equations (PDEs). The results obtained by proposed method are compared with Homotopy Analysis Method (HAM) and closed form solutions. The comparisons of these results show that MOHAM is simpler in applicability, effective, explicit, control the convergence through optimal constants, involve less computational work. The MOHAM is independent of the assumption of initial conditions and small parameters like Homotopy Perturbation Method (HPM), HAM, Variational Iteration Method (VIM), Adomian Decomposition Method (ADM) and Perturbation Method (PM). </p>Mehreen FizaHakeem UllahSaeed IslamQayum ShahFarkhanda Inayat ChohanMustafa Bin Mamat
Copyright (c) 2018 European Journal of Pure and Applied Mathematics
2018-04-272018-04-27112537552