FEF, Matematik Bölümü Koleksiyonu

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https://hdl.handle.net/11467/77

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Neutrosophic metric spaces
(Springer, 2020) Kirişçi, Murat; Şimşek, Necip
Neutrosophy consists of neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalisation of classical sets, fuzzy set, intuitionistic fuzzy set, etc. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena where it is necessary to study the relationship between two probability functions. In this paper, the definition of new metric space with neutrosophic numbers is given. Neutrosophic metric space uses the idea of continuous triangular norms and continuous triangular conorms in intuitionistic fuzzy metric space. Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions. Triangular conorms are known as dual operations of triangular norms. Triangular norms and triangular conorm are very significant for fuzzy operations. Neutrosophic metric space was defined with continuous triangular norms and continuous triangular conorms. Several topological and structural properties neutrosophic metric space have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Finding the traveling wave solutions of some nonlinear partial differential equations by an expansion method
(İstanbul Ticaret Üniversitesi, 2016) Kaya, Doğan
In this study, we construct an expansion method. We have implement this method for finding traveling wave solutions of nonlinear Klein-Gordon equation, Benjamin-Bona-Mahony equation, sixth-order Boussinesq equation and Konopelchenko-Dubrovky system.
Traveling wave solutions of some nonlinear partial differential equations by using extended - expansion method
(İstanbul Ticaret Üniversitesi, 2015) Yokuş, Asıf; Kaya, Doğan
In this study, we use extended (G’/G)-expansion method which is suggested in (Wang et al., 2008). By this method, we find traveling wave solutions of nonlinear Burgers and KdV equations. It is obtained graphics of these solutions by using Mathematica.
A note on |A|(K) summability factors for infinite series
(Springer, 2007) Savaş, Ekrem
We obtain sufficient conditions on a nonnegative lower triangular matrix A and a sequence lambda(n) for the series Sigma a(n)lambda(n)/na(nn) to be absolutely summable of order k >= 1 by A. Copyright (c) 2007 E. Savas, and B. E. Rhoades.
On general summability factor theorems
(Springer International Publishing AG, 2007) Savaş, Ekrem
The goal of this paper is to obtain sufficient and (different) necessary conditions for a series Sigma a(n), which is absolutely summable of order k by a triangular matrix method A, 1 < k <= s < infinity, to be such that Sigma a(n)lambda(n) is absolutely summable of order s by a triangular matrix method B. As corollaries, we obtain two inclusion theorems.
On (Lambda) over-bar-statistically convergent double sequences of fuzzy numbers
(Springer International Publishing AG, 2008) Savaş, Ekrem
We study the notion of (lambda) over bar -statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations. Copyright (C) 2008 Ekrem Savas.
On the cesaro summability of double series
(Springer International Publishing AG, 2008) Savaş, Ekrem; Şevli, Hamdullah; Rhoades, B. E.
In a recent paper by Savas, and Sevli (2007), it was shown that each Cesaro matrix of order alpha, for alpha > -1, is absolutely kth power conservative for k >= 1. In this paper we extend this result to double Cesaro matrices. Copyright (C) 2008.
On absolute cesaro summability
(Springer International Publishing AG, 2009) Şevli, Hamdullah; Savaş, Ekrem
Denote by A(k) the sequence space defined by A(k) = {(s(n)) : Sigma(infinity)(n=1) n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)} for k >= 1. In a recent paper by E. Savas, and H. Sevli (2007), they proved every Cesaro matrix of order alpha, for alpha > - 1, (C, alpha) is an element of B(A(k)) for k >= 1. In this paper, we consider a further extension of absolute Cesaro summability. Copyright (C) 2009 H. Sevli and E. Savas.
Summability of double independent random variables
(Hindawi Publishing Corporation, 2008) Patterson, Richard F.; Savaş, Ekrem
We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this paper is the presentation of the following theorem. If max(k,l)vertical bar a(m,n,k,l) vertical bar = max(k,l)vertical bar a(m,k)a(n,l)vertical bar = O(m(-gamma 1))O(n(-gamma 2)) gamma(1),gamma(2) > 0, then E vertical bar X vertical bar(1+1/gamma 1) < infinity and E vertical bar X vertical bar(1+1/gamma 2) < infinity imply that Y(m,n) -> mu almost sure P- convergence.
On double statistical p-convergence of fuzzy numbers
(Springer International Publishing AG, 2009) Savaş, Ekrem; Patterson, Richard F.
Savas and Mursaleen defined the notions of statistically convergent and statistically Cauchy for double sequences of fuzzy numbers. In this paper, we continue the study of statistical convergence by proving some theorems. Copyright (C) 2009 E. Savas, and R. F. Patterson.
A recent note on quasi-power increasing sequence for generalized absolute summability
(Springer, 2009) Savaş, Ekrem; Şevli, Hamdullah
We prove two theorems on vertical bar A,delta vertical bar(k), k >= 1,0 <= delta < 1/k, summability factors for an infinite series by using quasi-power increasing sequences. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A,delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-f-increasing sequences. Copyright (C) 2009 E. Savas, and H. Sevli.
Some l(p)-type new sequence spaces and their geometric properties
(Hindawi Publishing Corporation, 2009) Savaş, Ekrem; Karakaya, Vatan; Şimşek, Necip
We introduce an l(p)-type new sequence space and investigate its some topological properties including AK and AD properties. Besides, we examine some geometric properties of this space concerning Banach-Saks type p and Gurarii's modulus of convexity. Copyright (C) 2009 Ekrem Savas, et al.
(Lambda) over-bar-double sequence spaces of fuzzy real numbers defined by Orlicz function
(Univ Osijek, 2009) Savaş, Ekrem
In this paper we define and study two concepts which arise from the notion of de la Vallee-Poussin means, namely: strongly double (lambda) over bar -convergence defined by Orlicz function and (lambda) over bar -statistical convergence and establish a natural characterization for the underline sequence spaces.
Necessary conditions for double summability factor theorem
(Univ Miskolc Inst Math., 2010) Savaş, Ekrem
We obtain necessary conditions for the series Sigma Sigma c(mn), which is absolutely summable of order k by a doubly triangular matrix method A, to be such that Sigma Sigma c(mn)lambda(mn) is absolutely summable of order k by a doubly triangular matrix B
A note on generalized vertical bar a vertical bar(K)- summability factors for infinite series
(Springer International Publishing AG, 2010) Savaş, Ekrem
A general theorem concerning the |A|(k)-summability factors of infinite series has been proved.
On asymptotically (lambda, sigma)-statistical equivalent sequences of fuzzy numbers
(Hindawi Publishing Corporation, 2010) Savaş, Ekrem; Şevli, Hamdullah; Cancan, Murat
The goal of this paper is to give the asymptotically (lambda, sigma)-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lambda-statistical convergence of fuzzy numbers.
On some new sequence spaces in 2-normed spaces using ideal convergence and an orlicz function
(Springer, 2010) Savaş, Ekrem
The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.
A summability factor theorem for quasi-power-increasing sequences
(Springer, 2010) Savaş, Ekrem
We establish a summability factor theorem for summability vertical bar A, delta vertical bar(k), where A is lower triangular matrix with nonnegative entries satisfying certain conditions. This paper is an extension of the main result of the work by Rhoades and Savas (2006) by using quasi f-increasing sequences.
A note on generalized absolute summability factors
(Univ Osijek, 2010) Savaş, Ekrem
In this paper, a general theorem on vertical bar A, delta vertical bar k-summability factors of infinite series has been proved under weaker conditions.
Some e-j generalized hausdorff matrices not of type m
(Hindawi Publishing Corporation, 2011) Selmanoğulları, Tuğçen; Savaş, Ekrem; Rhoades, B. E.
We show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type M and establish several other related theorems.

Güncel Gönderiler