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Öğe The log-conditions for the variable exponent Hardy inequality(Hikari, 2019) Harman, AzizIn this note we discuss a logarithmic regularity condition in neighborhood of the origin on the exponent function p(x) in dependence of the weights v, ω for the variable exponent Hardy inequality v (x) 1 p(.) Zx 0 f(t)dt Lp(.)(0,l) ≤ C ω (x) 1 p(.) f (x) Lp(.)(0,l) to hold.Öğe First boundary value problem for cordes-type semilinear parabolic equation with discontinuous coefficients(Hindawi, 2020-06-19) Harman, Aziz; Harman, EzgiFor a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper. The problem ∑i,j=1naijt,xuxixj-ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T. The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n-1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n-1,n≥2.Öğe Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers(Springer Nature, 2019-06-01) Dalman, Hasan; Bayram, MustafaThis paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.Öğe A fuzzy logic based approach to solve interval multiobjective nonlinear transportation problem(Springer Nature, 2019-06-01) Dalman, Hasan; Sivri, MustafaThis paper presents the solution procedure of multiobjective nonlinear transportation problem (MNOTP) where the cost coefficients of the objective functions, and the supply and the unknown demand parameters have been formulated as interval numbers by the decision maker. This problem has been converted into a conventional MNOTP where to minimize the interval nonlinear objective functions, the order relations that define the choice between intervals have been determined by the interval arithmetic. Also, the constraints with interval supply and unknown demand parameters have been transformed into its deterministic forms. Then the deterministic problems have been solved by two compromise programming methods. Finally, a numerical example is presented to illustrate the efficiency of the proposed procedure as well.Öğe Entropy-based multi-item solid transportation problems with uncertain variables(Springer Nature, 2019-07-01) Dalman, Hasan;This paper focuses on modeling and optimization of entropy-based uncertain multi-item solid transportation problems (MISTPs), in which direct costs, supplies, demands, conveyance capacities are uncertain nature. The purpose is to minimize the total uncertain cost via maximum entropy which ensures uniform delivery of products from sources to destinations through conveyances. The expected value programming and expected constrained programming models for optimizing the entropy-based uncertain MISTPs are constructed. These models are based on uncertainty theory. Subsequently, the constructed models are converted into their deterministic equivalences which are solved using two known mathematical programming methods. Finally, a numerical example is given to illustrate the models.Öğe On the one half of an Arf numerical semigroup(SCIK Publishing Corporation, 2015) Süer, Meral; İlhan, SedatIn this study, we will characterize the Arf numerical semigroup that is computed in a quotient of an Arf numerical semigroup by an positive integer. We will also obtain the one half of this special Arf numerical semigroup and give some results about this numerical semigroup.Öğe On Arf numerical semigroups(SCIK Publishing Corporation, 2016) Süer, Meral; İlhan, SedatIn this study, we obtain an Arf semigroup by means of a sequence. We also establish some results on the Arf semigroupÖğe On a class of pseudo-symmetric numerical semigroups(Pushpa Publishing House, 2011-12) Süer, Meral; İlhan, SedatÖğe Some extensions of a class of pseudo symmetric numerical semigroups(Selçuk Üniversitesi, 2012) Süer, Meral; İlhan, SedatIn this paper, we will give some results about some extensions of a pseudo symmetric numerical semigroup in the form of S =< 3, 3 + s, 3 + 2s > for s ∈ Z+ and 3 - s.Öğe Conditions of numerical semigroups having maximal or almost maximal length(International Journal of Physical Sciences, 2012-04-30) Süer, Meral; İlhan, SedatÖğe Gaps of a class of pseudo symmetric numerical semigroups(Acta Universitatis Apulensis, 2013) Süer, Meral; İlhan, SedatIn this study, we give some results about the gaps, fundamental and special gaps of a pseudo symmetric numerical semigroup in the form of S=< 3, 3+ s, 3+ 2s> for s∈ Z+ and 3 s.Öğe On the fundamental gaps of some saturated numerical semigroups with multiplicity 4(Hikari, 2016) Süer, Meral; İlhan, Sedat; Çelik, AhmetIn this study, we calculate the number of fundamental gaps of the some numerical semigroups which are for and and for and and or. Also, we give the type sequence of these numerical semigroups.Öğe On the saturated numerical semigroups(Open Mathematics, 2016-11) Süer, Meral; İlhan, SedatIn this study, we characterize all families of saturated numerical semigroups with multiplicity four. We also present some results about invariants of these semigroups.Öğe On a family of saturated numerical semigroups with multiplicity four(TÜBİTAK, 2017-01-16) Süer, Meral; İlhan, SedatIn this study, we will give some results on Arf numerical semigroups of multiplicity four generated by {4, k, k + 1, k + 2} where k is an integer not less than 5 and k ≡ 1(mod 4).Öğe The special gaps of Arf numerical semigroups with small multiplicity(Balıkesir Üniversitesi, 2018-12-01) Süer, Meral; Yalçın, Burak YasinIn this study, we deal with the concept of special gap of a numerical semigroup which is used to find the set of all numerical semigroups containing a given numerical semigroup. We will find the specific gaps of Arf numerical semigroups with small multiplicity. We also find all Arf numerical semigroups containing a given Arf numerical semigroup with small multiplicity.Öğe On telescopic numerical semigroup families with embedding dimension 3(Erzincan Üniversitesi, 2019-03-24) Süer, Meral; İlhan, SedatIn this study, the set of all telescopic numerical semigroups families with embedding dimension three is obtained for some fixed multiplicity by some parameters. Also, some invariants of these families are calculated in term of their generatorsÖğe On triply generated telescopic semigroups with multiplicity 8 and 9(Publ House Bulgarian Acad Sci, 2020-03) Süer, Meral; İlhan, SedatÖğe The theoretical and experimental study on double-Gaussian distribution in inhomogeneous barrier-height Schottky contacts(Elsevier, 2010-11) Yıldırım, Nezir; Turut, Abdulmecit; Turut, VeyisWe have considered multi-Gaussian distribution of barrier-heights for non-interactive barrier inhomogeneities in the inhomogeneous Schottky diodes, and we have shown the presence of the intersecting behavior in the forward-bias current-voltage (I-V) curves for the double-Gaussian distribution model at low temperatures. We have tried to eliminate this effect by generating I-V curves at lower temperatures with the bias-dependent barrier-height expression which leads to the ideality factors greater than unity. For this calculation, we have obtained the expressions for the barrier-height change and ideality factor, and for bias-dependency of the BH for the multi-Gaussian model by following the literature. We have shown that the experimental forward-bias I-V curves coincide with the theoretical ones using the bias-dependent inhomogeneous BH expression at low and high temperatures in the double-Gaussian distribution of BHs.Öğe Multivariate padé approximation for solving partial differential equations (PDE)(Wiley-Blackwell, 2011-07-30) Turut, Veyis; Çelik, Ercan; Yiğider, MuhammedIn this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate padé approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate padé series form. Thus, we obtained numerical solution of PDE.Öğe Comparing numerical methods for solving time-fractional reaction-diffusion equations(Hindawi, 2012-08-29) Turut, Veyis; Güzel, NuranMultivariate Pade approximation ´ MPA is applied to numerically approximate the solutions of time-fractional reaction-diffusion equations, and the numerical results are compared with solutions obtained by the generalized differential transform method GDTM. The fractional derivatives are described in the Caputo sense. Two illustrative examples are given to demonstrate the effectiveness of the multivariate Pade approximation ´ MPA. The results reveal that the multivariate Pade approximation ´ MPA is very effective and convenient for solving timefractional reaction-diffusion equations
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