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Öğe Existence of maximal ideals in Leavitt path algebras(Scientific Technical Research Council Turkey-Tubitak, 2018) Esin, Songül; Er, Müge KanuniLet E be an arbitrary directed graph and let L be the Leavitt path algebra of the graph E over a field K. The necessary and sufficient conditions are given to assure the existence of a maximal ideal in L and also the necessary and sufficient conditions on the graph that assure that every ideal is contained in a maximal ideal are given. It is shown that if a maximal ideal M of L is nongraded, then the largest graded ideal in M, namely gr(M), is also maximal among the graded ideals of L. Moreover, if L has a unique maximal ideal M, then M must be a graded ideal. The necessary and sufficient conditions on the graph for which every maximal ideal is graded are discussed.Öğe Hochschild cohomology of reduced incidence algebras(World Scientific Publ Co Pte Ltd, 2017) Kanuni, Müge; Kaygun, Atabey; Sütlü, SerkanWe compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of formal Dirichlet series. We achieve the result by carrying out the computation for the coalgebra Cotor-groups of their pre-dual coalgebras.Öğe High-order finite difference technique for delay pseudo-parabolic equations(Elsevier Science Bv, 2017) Amiraliyev, Gabil M.; Çimen, Erkan; Amirali, İlhame; Çakır, MusaOne dimensional initial boundary delay pseudo-parabolic problem is being considered. To solve this problem numerically, we construct higher order difference method for approximation to the considered problem and obtain the error estimate for its solution. Based on the method of energy estimate the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Numerical example is presented. (C) 2017 Elsevier B.V. All rights reserved.Öğe High order algebraic splitting for magnetohydrodynamics simulation(Elsevier Science Bv, 2017) Akbaş, Mine; Mohebujjaman, Muhammad; Rebholz, Leo G.; Xiao, MengyingThis paper proposes, analyzes and tests high order algebraic splitting methods for magnetohydrodynamic (MHD) flows. The main idea is to apply, at each time step, Yosida-type algebraic splitting to a block saddle point problem that arises from a particular incremental formulation of MHD. By doing so, we dramatically reduce the complexity of the nonsymmetric block Schur complement by decoupling it into two Stokes-type Schur complements, each of which is symmetric positive definite and also is the same at each time step. We prove the splitting is 0(Delta t(3)) accurate, and if used together with (block-)pressure correction, is fourth order. A full analysis of the solver is given, both as a linear algebraic approximation, but also in a finite element context that uses the natural spatial norms. Numerical tests are given to illustrate the theory and show the effectiveness of the method. (C) 2017 Elsevier B.V. All rights reserved.Öğe Hermite-Hadamard Type Inequalities for Twice Differantiable Functions via Generalized Fractional Integrals(Univ Nis, Fac Sci Math, 2019) Budak, Hüseyin; Ertuğral, Fatma; Pehlivan, EbruIn this paper we first obtain two generalized identities for twice differentiable mappings involving generalized fractional integrals defined by Sarikaya and Ertugral. Then we establish some midpoint and trapezoid type inequalities for functions whose second derivatives in absolute value are convex.Öğe Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities(Pergamon-Elsevier Science Ltd, 2013) Sarıkaya, Mehmet Zeki; Set, Erhan; Yaldız, Hatice; Başak, NagihanIn the present note, first we have established Hermite-Hadamard's inequalities for fractional integrals. Second, an integral identity and some Hermite-Hadamard type integral inequalities for the fractional integrals are obtained and these results have some relationships with [S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11 (5) (1998), 91-95)]. (C) 2011 Elsevier Ltd. All rights reserved.Öğe Hermite-Hadamard-Fejer type inequalities(Taru Publications, 2018) Yaldız, Hatice; Sarıkaya, Mehmet ZekiIn this paper, we have established the left hand side of the Hermite-Hadamard-Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex functions by using fractional integrals.Öğe Hermite-Hadamard type inequalities for conformable fractional integrals(Springer-Verlag Italia Srl, 2018) Khan, Muhammad Adil; Ali, Tahir; Dragomir, S.S.; Sarıkaya, Mehmet ZekiIn this paper, first, we prove an identity for conformable fractional integrals. Second, by using this identity we will present some integral inequalities connected with the left hand side of the Hermite-Hadamard type inequalities for conformable fractional integrals. At the end, applications to some special means and error estimates for the midpoint formula are provided.Öğe Hermite-Hadamard type inequalities for F-convex function involving fractional integrals(Springeropen, 2018) Mohammed, Pshtiwan Othman; Sarıkaya, Mehmet ZekiIn this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite-Hadamard type for differentiable function. Moreover, we establish some trapezoid type inequalities for functions whose second derivatives in absolute values are F-convex. We also show that through the notion of F-convex we can find some new Hermite-Hadamard type and trapezoid type inequalities for the Riemann-Liouville fractional integrals and classical integrals.Öğe Hermite-Hadamard Type Inequalities for Products of Two Co-ordinated Convex Mappings via Fractional Integrals(Centre Environment Social & Economic Research Publ-Ceser, 2019) Budak, Hüseyin; Sarıkaya, Mehmet ZekiIn this paper, we use Riemann-Liouville fractional integrals to obtain the Hermite-Hadamard type inequalities for products of two co-ordinated convex functions. The inequalities obtained in this study provide generalizations of some result given in earlier works.Öğe Hermite-Hadamard Type Inequalities for F-Convex Function Involving Fractional Integrals [article](Univ Nis, Fac Sci Math, 2018) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Yıldız, Mustafa KemalIn this study, we firstly give some properties the family F and F-convex function which are defined by B. Samet. Then, we establish Hermite-Hadamard type inequalities involving fractional integrals via F-convex function. Some previous results are also recaptured as special casesÖğe Generalized Sylvester Polynomials of in Several Variables(Prairie View A & M Univ, Dept Mathematics, 2018) Özmen, Nejla; Soytürk, ŞuleThis study deals with some new properties for the Generalized Sylvester polynomials in several variables. Some properties of these polynomials were given. We also derive an application giving certain families of bilateral generating functions for the Generalized Sylvester polynomials in several variables. At the end, we discuss some special cases.Öğe GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS(Turkic World Mathematical Soc, 2017) Budak, Hüseyin; Sarıkaya, Mehmet ZekiIn this paper, we firstly establish generalized weighted Montgomery identity for double integrals. Then, some generalized weighted Cebysev and Ostrowski type inequalities for double integrals are given.Öğe GENERALIZED STEFFENSEN INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS(Etamaths Publ, 2017) Sarıkaya, Mehmet Zeki; Tunç, Tuba; Erden, SametFirstly we give a important integral inequality which is generalized Steffensen's inequality. Then, we establish weighted version of generalized Steffensen's inequality for local fractional integrals. Finally, we obtain several inequalities related these inequalities using the local fractional integral.Öğe GENERALIZATION OF CEBYSEV TYPE INEQUALITIES FOR FIRST DIFFERENTIABLE MAPPINGS(Univ Miskolc Inst Math, 2011) Set, Erhan; Sarıkaya, Mehmet Zeki; Ahmad, FarooqIn this paper, we improve and further generalize some Cebysev type inequalities involving functions whose derivatives belong to L-p spaces via certain integral identities.Öğe GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY(Turkic World Mathematical Soc, 2019) Erden, Samet; Sarıkaya, Mehmet Zeki; Dragomir, Silvestru SeverWe establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.Öğe Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals(Springer-Verlag Italia Srl, 2017) Akkurt, Abdullah; Sarıkaya, Mehmet Zeki; Budak, Hüseyin; Yıldırım, HüseyinIn this paper, we obtain generalized Ostrowski type integral inequalities involving moments of a continuous random variables via local fractional integrals.Öğe Generalized Hermite - Hadamard Type Integral Inequalities for Fractional Integrals(Univ Nis, Fac Sci Math, 2016) Sarıkaya, Mehmet Zeki; Budak, HüseyinIn this paper, we have established Hermite-Hadamard type inequalities for fractional integrals depending on a parameter.Öğe Generalized Pompeiu type inequalities for local fractional integrals and its applications(Elsevier Science Inc, 2016) Erden, Samet; Sarıkaya, Mehmet ZekiFirst of all, the generalized Pompeius mean value theorem is established. Then, some generalized Pompeiu type inequalities are obtained. Finally, some applications of these inequalities in numerical integration and for special means are given. (C) 2015 Elsevier Inc. All rights reserved.Öğe GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES ARE GENERALIZED s-CONVEX IN THE SECOND SENSE(Czestochowa Univ Technology, Inst Mathematics, 2016) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Set, ErhanIn this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.
