Profile URL: https://hdl.handle.net/20.500.14411/7672
Job Title:Profesör Doktor
Main Affiliation:Mathematics
Status: Current Staff
Web of Science ID:
DLG-9211-2022
DLG-9211-2022Name Variants:
A., Ozban O., Ahmet Yasar
23 results
Scholarly Output Search Results
Now showing 1 - 10 of 23
Editorial Citation - Scopus: 1Approximation Theory and Numerical Analysis(Hindawi Publishing Corporation, 2014) Ostrovska,S.; Berdysheva,E.; Nowak,G.; Özban,A.Y.[No abstract available]Article Citation - WoS: 47Citation - Scopus: 68On the Positive Solutions of the System of Rational Difference Equations(Academic Press inc Elsevier Science, 2006-11) Ozban, Ahmet YasarOur aim in this paper is to investigate the periodic nature of solutions of the system of rational difference equations x(n+1) = 1/y(n-k), y(n+1) = yn/x(n-mYn-m-k), n = 0, 1,..., where k is a nonnegative integer, m is a positive integer and the initial values x(-m), x(-m+1),..., x(0), y(-m-k), y(-m-k+1),..., y(0) are positive real numbers. (c) 2005 Elsevier Inc. All rights reserved.Article Citation - WoS: 46Citation - Scopus: 61On the System of Rational Difference Equations <i>x<sub>n</Sub> </I>= <i>a</I> <i>y<sub>n</Sub>< = <i>by<sub>n-3</Sub><(Elsevier Science inc, 2007-05) Ozban, Ahmet YasarIn this paper we investigate the behaviour of the positive solutions of the system of rational difference equation x(n) = a/y(n-3), y(n) = by(n-3)/x(n-q)Y(n-q), n = 1, 2,..., where q > 3 is a positive integer with 3 inverted iota q, a and b are positive constants and tile initial values x(-q+1),x(-q+2),...,x0, Y-q+1,y(-q+2),...,y(0) are positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.Article Polynomial Logistic Distribution Associated With a Cubic Polynomial(Taylor & Francis inc, 2017-03-29) Aksoy, Umit; Ostrovska, Sofiya; Ozban, Ahmet YasarLet P(x) be a polynomial monotone increasing on ( - , +). The probability distribution possessing the distribution function is called the polynomial logistic distribution with associated polynomial P. This has recently been introduced by Koutras etal., who have also demonstrated its importance for modeling financial data. In this article, the properties of the polynomial logistic distribution with an associated polynomial of degree 3 have been investigated in detail. An example of polynomial logistic distribution describing daily exchange rate fluctuations for the US dollar versus the Turkish lira is provided.Article Citation - WoS: 201Some New Variants of Newton's Method(Pergamon-elsevier Science Ltd, 2004) Özban, AYSome new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. (C) 2004 Elsevier Ltd. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 28On Idempotency of Linear Combinations of Idempotent Matrices(Elsevier Science inc, 2004-12) Özdemir, H; Özban, AYP-1, P-2 and P-3 being any three different nonzero mutually commutative n x n idempotent matrices, and C-1 C-2 and C-3 being nonzero scalars, the problem of characterizing some situations, where a linear combination of the form P = c(1)P(1) + c(2)P(2) or P = c(1)P(1) + c(2)P(2) + c(3)P(3), is also an idempotent matrix has been considered. Moreover two interesting results about the idempotency of linear combinations of 2 x 2 idempotent matrices and 3 x 3 idempotent matrices have been given. A statistical interpretation of the idempotency problem considered in this study has also been pointed out. (C) 2003 Elsevier Inc. All rights reserved.Book Part Approximation of Discontinuous Functions by <i>q</I>-bernstein Polynomials(Springer international Publishing Ag, 2016) Ostrovska, Sofia; Ozban, Ahmet YasarThis chapter presents an overview of the results related to the q-Bernstein polynomials with q > 1 attached to discontinuous functions on [0, 1]. It is emphasized that the singularities of such functions located on the set Jq : = {0} boolean OR {q-l}(l=0, infinity), q > 1 are definitive for the investigation of the convergence properties of their q-Bernstein polynomials.Article Citation - WoS: 22Citation - Scopus: 21On idempotency and tripotency of linear combinations of two commuting tripotent matrices(Elsevier Science inc, 2009-01) Ozdemir, Halim; Sarduvan, Murat; Ozban, Ahmet Yasar; Guler, NesrinLet T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. The problems considered here have also statistical importance when c(1), c(2) are real scalars and T-1, T-2 are real symmetric matrices. (C) 2008 Elsevier Inc. All rights reserved.Article Citation - WoS: 3Citation - Scopus: 4New Methods for Approximating Square Roots(Elsevier Science inc, 2006-04) Ozban, Ahmet YasarSome new higher order iterative methods are obtained to approximate the positive square root of a positive real number. Moreover some numerical tests are performed to demonstrate the performances and accuracies of the new methods. The numerical results show that the methods we obtain are competitive with the existing ones. (c) 2005 Published by Elsevier Inc.Article Citation - Scopus: 242Some New Variants of Newton's Method(Elsevier Ltd, 2004-06) Özban,A.Y.Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. © 2004 Elsevier Ltd. All rights reserved.
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Documents
26
Citations
450
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| Journal | Count |
|---|---|
| Applied Mathematics and Computation | 6 |
| Abstract and Applied Analysis | 3 |
| Journal of Mathematical Analysis and Applications | 2 |
| Applied Mathematics Letters | 2 |
| Communications in Statistics - Theory and Methods | 1 |
Current Page: 1 / 3
Scholarly Output
23
Articles
19
Views / Downloads
24/14
Supervised MSc Theses
1
Supervised PhD Theses
0
WoS Citation Count
419
Scopus Citation Count
506
Patents
0
Projects
0
WoS Citations per Publication
18.22
Scopus Citations per Publication
22.00
Open Access Source
7
Supervised Theses
1
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