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Lacunary statistical convergence in topological groups
(Springer, 1995)In Cakalli a sequence (x (k)) in a topological group X is called statistically convergent to an element 1 of X if for each neighbourhood U of 0 limmnm m1{ksm: x (k)16, 2 U}= 0 where the vertical bars indicate the number ... 
(Pn, s)Absolute almost convergent sequences
(Indian National Science Academy, 1997)Cakalli(2) generalized the concept of absolute almost convergence due to Das (Mursaleen(5)) to sabsolute almost convergence. In this paper, byusing a condition of Bor(1) we generalize the concept of sabsolute almost ... 
Slowly oscillating continuity
(Hindawi, 2008)A function is continuous if and only if, for each point in the domain, , whenever . This is equivalent to the statement that is a convergent sequence whenever is convergent. The concept of slowly oscillating continuity ... 
Sequential definitions of compactness
(ScienceDirect, 2008)A subset of a topological space is sequentially compact if any sequence of points in has a convergent subsequence whose limit is in . We say that a subset of a topological group is sequentially compact if any sequence ... 
The metallic means family (MMF)
(Maltepe Üniversitesi, 2009)The main purpose of this presentation is to introduce a new family of quadratic irrational numbers. This family was introduced by the author in 1997 as the Metallic Means Family (MMF). Its more prominent member is the ... 
The guelph expansion: a special mathematical formulation for polynomial expansion
(Maltepe Üniversitesi, 2009)Such polynomial expansion helped in developing a new compact polynomial formula for the characteristic equation of a nuclear reactor model with n groups of delayed neutrons which is known as the inhour equation, Hetrick ... 
On the solvability of abelpoisson integral equation in downward continuation for gravity field modeling
(Maltepe Üniversitesi, 2009)The problem of downward continuation of the gravity field from the Earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for geoid determination without applying ... 
Modelling the interaction between crude oil price and other commodities price
(Maltepe Üniversitesi, 2009)Crude oil price issues have gained much attention worldwide lately. This is due to the shortage of crude oil production, which increases the price tremendously. The fact that an increase in crude oil price will then ... 
Solving singular initial value problems of emdenfowler and laneemden type
(Maltepe Üniversitesi, 2009)In this paper, Singular initial value problems are investigated by using Taylor series method. The solutions are constructed in the form of a convergent series. The method is applied to EmdenFowler and LaneEmden equations. 
Improving energy relaxation of hopfield network with augmented lagrange multipliers
(Maltepe Üniversitesi, 2009)The convergence property for energy relaxation of LittleHopfield neural network using the Augmented Lagrange Multipliers is shown to be better than using Hebbian learning. This paper proposes a new method, called the ... 
Bayesian methods for the occurrence of REM among apnea patients
(Maltepe Üniversitesi, 2009)Studies on apnea patients are often carried out based on data obtained from the sleep study. Sleep stages that occurred during sleep is light sleep, deep sleep and Rapid Eye Movement (REM). The proportion of REM during ... 
Properties of .trvertex critical graphs
(Maltepe Üniversitesi, 2009)A graph G with no isolated vertex is total restrained domination vertex critical if for any vertex v of G that is not adjacent to a vertex of degree one, the total restrained domination number of G  v is less than the ... 
Some results on products of conjugacy classes
(Maltepe Üniversitesi, 2009)Let G be a finite group , A and B be conjugacy classes of G .Then for some integer n(AB) > 0 , AB = (abIa, b C G) is the union of n(AB) distinct conjugacy classes of G . In this note we study n´(AA1) for some classes of ... 
Convergence to common fixed points for asymptotically nonexpansive mappings by a modified iteration process
(Maltepe Üniversitesi, 2009)We modify an iteration scheme of Agarwal et al to the case of two asymptotically nonexpansive mappings and prove some weak and strong convergence theoerems. We will also point out that this scheme cannot be used for three ... 
Cech homology groups of sostak fuzzy topological spaces
(Maltepe Üniversitesi, 2009)By using the covering of Sostak fuzzy topological spaces, inverse system of simplicial complexes is constituted. ˘ Cech ˘ homology groups are defined via of the inverse system. It is proved that Cech homology groups are ... 
Mixed problems for systems of first order PDE
(Maltepe Üniversitesi, 2009)In this talk, we will study the following mixed problem... 
Non linear boundary value problem: FaedoGalerkin methode of the non linear boundary value problem
(Maltepe Üniversitesi, 2009)In this note, we consider a nonlinear boundary value problem. The use of FaedoGalerkin techniques and a compactness result, while passing to the limit, we prove the existence of the variational solution of the considered ... 
Claims validation system fuzzy approach
(Maltepe Üniversitesi, 2009)The markets are dynamically changing with changing consumer behavior. End users in all sectors, be it product or service find themselves empowered with wide range of options available to them. And therefore in today’s ... 
A modified nonlinear conjugate gradient algorithm for unconstrained optimization
(Maltepe Üniversitesi, 2009)Conjugate gradient (CG) algorithms have played special roles in solving large scale nonlinear optimization problems with smooth objective functions f : R n → R. Search directions in the CG algorithms are generated by the ... 
A new system of implicit variationallike inclusion problems involving (H(.,.),n)monotone operators
(Maltepe Üniversitesi, 2009)In this paper, we introduce a new concept of (H(., .),n)monotone operator. The generalized resolvent operator as sociated with this type of monotone operators is de¯ned and Lipschitz continuity of it is established. By ...