JOURNAL OF ADVANCES IN MATHEMATICS 2018-12-31T12:22:55+00:00 Gurdev Singh Open Journal Systems Interested in submitting to this journal? We recommend that you review the About the Journal page for the journal's section policies, as well as the Author Guidelines. Authors need to register with the journal prior to submitting or, if already registered, can simply log in and begin the five-step process. On Pompeiu Cebysev Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Inner Product Spaces 2018-12-08T10:56:09+00:00 Mohammad W Alomari <p>In this work, generalizations of some inequalities for continuous synchronous (h-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.</p> 2018-12-01T00:00:00+00:00 ##submission.copyrightStatement## Symmetry problem 1 2018-12-08T10:58:14+00:00 Alexander G. Ramm <p>A symmetry problem is solved. A new method is used. The idea of this methodis to reduce to a contradiction the PDE and the over-determined boundary data on the boundary.The new method allows one to solve other symmetry problems.</p> 2018-12-01T00:00:00+00:00 ##submission.copyrightStatement## Probabilistic Inventory Model Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment 2018-11-14T04:22:53+00:00 H. A. Ferganya Osama Mahmoud Hollah <p>This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle. (2) some costs are varying. (3) the demand is a random variable that follows some continuous distributions as (two-parameter exponential, Kumerswamy, Gamma, Beta, Rayleigh, Erlang distributions).</p> <p>The objective function under a constraint is imposed here in crisp and fuzzy environment. The objective is to find the optimal maximum inventory level for a given review time that minimize the expected annual total cost. Furthermore, a comparison between given distributions is made to find the optimal distribution that achieves the model under considerations. Finally, a numerical example is applied.</p> 2018-11-12T09:07:41+00:00 ##submission.copyrightStatement## The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations 2018-11-14T04:22:55+00:00 Hameeda Oda Al-Humedi <p>The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find.&nbsp; The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this type of systems. At first, we used Taylor's expansion to omit the singularity. &nbsp;From an expansion the given system of linear weakly singular VIE is transform into a system of linear ordinary differential equations (LODEs). &nbsp;&nbsp;The approximate solutions are represent in the form of series in the reproducing kernel space . By comparing with the exact solutions of two examples, we saw that RKHS is a powerful, easy to apply and full efficiency in scientific applications to build a solution without linearization and turbulence or discretization.&nbsp;</p> 2018-11-14T04:21:59+00:00 ##submission.copyrightStatement## About the Dirichlet Boundary Value Problem using Clifford Algebras 2018-12-08T11:03:04+00:00 Johan Ceballos <p>This paper reviews and summarizes the relevant literature on Dirichlet problems for monogenic functions on classic Clifford Algebras and the Clifford algebras depending on parameters on. Furthermore, our aim is to explore the properties when extending the problem to and, illustrating it using the concept of fibres. To do so, we explore ways in which the Dirichlet problem can be written in matrix form, using the elements of a Clifford's base. We introduce an algorithm for finding explicit expressions for monogenic functions for Dirichlet problems using matrices in Finally, we illustrate how to solve an initial value problem related to a fibre.</p> 2018-11-12T00:00:00+00:00 ##submission.copyrightStatement## Supplement to the Collatz Conjecture 2018-12-08T11:05:44+00:00 Anatoliy Nikolaychuk <p>For any natural number was created the supplement sequence, that is convergent together with the original sequence. The parameter - index was defined, that is the same tor both sequences. This new method provides the following results:</p> <ol> <li>All natural numbers were distributed into different classes according to the corresponding indexes;</li> <li>The analytic formulas ( not by computer performed routine calculations) were produced, the formulas for groups of consecutive natural numbers of different lengths, having the same index;</li> <li>The new algorithm to find index for any natural number was constructed and proved.</li> </ol> 2018-12-01T00:00:00+00:00 ##submission.copyrightStatement## On Twisted Sums of Sequence Spaces 2018-12-11T09:36:57+00:00 Haifa Mohammed Bin Jebreen <p>&nbsp;We prove the existence of non trivial twisted sums involving the p<sup>th</sup> James&nbsp;space J<sub>p</sub>(1 &lt; p &lt; 1), the Johnson-Lindenstrauss space JL; the James tree space&nbsp;JT , the Tsirelson’s space T and the Argyros and Deliyanni space AD . We also&nbsp;present non trivial twisted sums involving their duals and biduals. We show&nbsp;that there are strictly singular quasi-linear maps from the spaces T ;T<sup>*</sup> ; AD and&nbsp;JT into C[0; 1]. We discuss the Pelczynski’s property(u) for the twisted sums&nbsp;involving these spaces which extends a pthJames-Schreier spaces V<sub>p</sub>(1 &lt; p &lt;1)&nbsp;or J<sub>2.&nbsp;</sub></p> 2018-12-11T09:35:29+00:00 ##submission.copyrightStatement## On Almost C(a)-Manifold Satisfying Some Conditions On The Weyl Projective Curvature Tensor 2018-12-31T09:20:45+00:00 Umit Yildirim <p>In the present paper, we have studied the curvature tensors&nbsp;of almost C(<sub><img src="/public/site/images/editor/a1.png" width="15" height="19"></sub>)-manifolds satisfying the conditions</p> <p>P(<sub><img src="/public/site/images/editor/b.png" width="11" height="16"></sub>,X)R = 0,&nbsp;P(,X)&nbsp;e&nbsp;Z = 0, P(,X)P = 0, P(,X)S = 0 and P(,X)&nbsp;e&nbsp; C = 0. According&nbsp;these cases, we classified almost C(<sub><img src="/public/site/images/editor/a2.png" width="18" height="23"></sub>)-manifolds.</p> 2018-12-31T09:19:00+00:00 ##submission.copyrightStatement## The Classification of Permutation Groups with Maximum Orbits 2018-12-31T11:06:56+00:00 Behname Razzaghmaneshi <p>Let G be a permutation group on a set with no fixed points in and let m be a positive integer. If no element of G moves any subset of by more than m points (that is, if <img src="/public/site/images/editor/Capture15.JPG">for every and g 2 G), and the lengths two of orbits is p, and the restof orbits have lengths equal to 3. Then the number t of G-orbits in is at most <img src="/public/site/images/editor/Capture21.JPG">&nbsp;Moreover, we classifiy all groups for<img src="/public/site/images/editor/Capture31.JPG"> is hold.(For&nbsp;<img src="/public/site/images/editor/Capture4.JPG"> denotes the greatest integer less than or equal to x.)</p> 2018-12-31T10:53:08+00:00 ##submission.copyrightStatement## The Availability of Systems with Bathtub Hazard Rate Function 2018-12-31T11:28:22+00:00 Dr. Mohamad Yousef Ashkar <p>In our normal life we can see that the most realistic systems possess useful time governed by hazard rate<br>of bathtub shaped. The hazard rate function, however, plays a vital role in the computation of the<br>availability function. The repair time, however, could be modeled as any statistical distribution. In this<br>paper I will investigate the nature of availability function and points of availability of systems with bathtub<br>hazard function and exponential distribution repair time using Markovian method.</p> 2018-12-31T11:22:18+00:00 ##submission.copyrightStatement## Numerical Solution of Eikonal Equation Using Finite Difference Method 2018-12-31T12:08:21+00:00 Sana'a Abdullah Alotibi <p>In this paper, a method to calculate tsunami wave front is introduced using the finite difference method to solve the ill-posed problem and to calculate perturbed velocity of the wave front. Comparison between the actual and approximate solution will be proposed in a table form and a graphic form.</p> 2018-12-31T12:08:20+00:00 ##submission.copyrightStatement## Some local Forms of Known Convergences of Sequence of Real Valued Functions 2018-12-31T12:22:55+00:00 Doris Doda Agron Tato <p>Using the notions of local uniform and strong local uniform con-vergence for the sequence of real valued functions or with value in metric space, the class of locally equally and strong locally equally convergences are studied. We are concern to dependence of type of some convergences from the neighborhood of the limit point. The known locally uniformly convergence is a key of some applications of this idea. We can reformulate one type of Arzela Theorem and nd relations of this convergence with quasi-uniformly by segments of Alexandro off convergence. Beside this type of convergence, we focus to another convergence which is nearer the well known a-convergence.</p> 2018-12-31T12:22:55+00:00 ##submission.copyrightStatement##