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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 ... 
Silver block intersection graphs
(Maltepe Üniversitesi, 2009)Any maximum independent set of a graph is called a diagonal of that graph. Let c be a proper (r + 1)coloring of an rregular graph G. A vertex in G is said to be rainbow with respect to c if every color appears in the ... 
Generalized logistic distribution: Bayesian estimations
(Maltepe Üniversitesi, 2009)In this paper, we consider a Bayesian approach to estimate the generalized logistic parameters. The maximum likelihood (ML) and the Bayes estimates are derived for the two unknown parameters and some survival time parameters. ... 
Optimal control with fuzzy chance constraints
(Maltepe Üniversitesi, 2009)In this paper, one of the models of optimal control problem with chance constraints is introduced, in which the parameters of constraints are fuzzy, random, or fuzzy random variables. To defuzzify the constraints, we ... 
A specific artificial neural network based model for the identification of pollution sources
(Maltepe Üniversitesi, 2009)The aim of the present work is to suggest an original approach based on the concept of training of an artificial neural network input or ITNet in order to predict the possible sources of pollution. The ITNetwork is ... 
Mathematical methods for modeling of lightning and thunderstorm electrification
(Maltepe Üniversitesi, 2009)The change in the electric potential due to lightning is evaluated. The potential along the lightning channel is a constant which is the projection of the preflash potential along a piecewise harmonic eigenfunction which ... 
He’s homotopy perturbation method for a general riccati equation
(Maltepe Üniversitesi, 2009)The factorization method of the Hamiltonian in Quantum Mechanics involves solving a particular type of Riccati equation. In this paper, He’s homotopy perturbation method is applied to a general Riccati equation. The ... 
Semianalytical solution of the first and second kind abel integral equations using fractional differential transform method
(Maltepe Üniversitesi, 2009)In this paper, we present a method for solving Abel integral equations of the first and second kinds, which is based on the Fractional Differential Transform method. Performance of the method is illustrated on some examples ... 
Transitive designs constructed from finite groups
(Maltepe Üniversitesi, 2009)Let G be a finite group. We describe a construction of 1designs admitting an automorphism group isomorphic to G. The designs are constructed by defining incidence structures on conjugacy classes of subgroups of the group ... 
A new approach to numerical algorithms
(Maltepe Üniversitesi, 2009)The problem of computing eigenvalues, eigenvectors and invariant subspaces is always present in areas as diverse as Engineering, Physics, Computer Science and Mathematics. Considering the importance of these problems in ... 
Semilinear evolution equations on discrete time
(Maltepe Üniversitesi, 2009)This work deals with the existence and stability of solutions for semilinear equations on Banach spaces by using recent characterizations of discrete maximal regularity. As application we examine the asymptotic behavior ... 
Prediction of technical state of petrol equipments (thermic motor case)
(Maltepe Üniversitesi, 2009)The improvement of the exploitation accuracy of petrol equipments is possible by the prediction of their technical state, this operation can insure their rational use, and permit to avoid unexpected damages of the equipments ... 
Detecting and adjusting inconsistencies through a graphical and optimal approach in AHP
(Maltepe Üniversitesi, 2009)It is difficult to rank the alternatives in an ordinal or/and cardinal inconsistent AHP model. There is an iterative method to detect and adjust inconsistencies. In this study it is improved, lots of conditions omitted ... 
Optimal control for high order pdes
(Maltepe Üniversitesi, 2009)In this paper we consider linear high order PDEs with nonhomogeneous boundary conditions. Our goal is to find some control functions that acts in a part of boundary such that desired state is reached in the given time T. ... 
Solutions of the topological structure in the early universe via conformal motions
(Maltepe Üniversitesi, 2009)In this article Einstein’s field equations are solved for topological structures in the early universe (spherical spacetime) by using conformal motions. Also the features of the obtained solutions are discussed. 
Tauberian theorems for (A)(C, α) summability method
(Maltepe Üniversitesi, 2009)Using Tauberian theorems for Abel summability method by Hardy [1], Littlewood [2] and Pati [3], we have given several Tauberian theorems for (A)(C, α) summability method. Also in this work some theorems given by Pati [3] ... 
Some tauberian theorems for borel summability methods
(Maltepe Üniversitesi, 2009)We investigate the conditions needed for a Borel summable sequence to be convergent. The results of this paper extend and improve the well known result of Hardy and Littlewood [Proc. London Math. Soc. 11 (1913), 116].