Tamar, Mehmet Emin

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Profile URL
https://hdl.handle.net/20.500.12573/2756
Name Variants
ME Tamar
Tamar, Mehmet Emin
Job Title
Arş. Gör.
Email Address
mehmetemin.tamar@agu.edu.tr
Main Affiliation
02.01. Mühendislik Bilimleri
Status
Current Staff
Website
ORCID ID
0000-0001-8933-8769
Scopus Author ID
Turkish CoHE Profile ID
318541
Google Scholar ID
hpIgdIkAAAAJ
WoS Researcher ID

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2

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2

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1

Scopus Citation Count

1

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1

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1

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0.50

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2

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics1
Turkish Journal of Mathematics1
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    A New Approaching Method for Linear Neutral Delay Differential Equations by Using Clique Polynomials
    (Tubitak Scientific & Technological Research Council Turkey, 2023) Yuzbasi, Suayip; Tamar, Mehmet Emin
    This article presents an efficient method for obtaining approximations for the solutions of linear neutral delay differential equations. This numerical matrix method, based on collocation points, begins by approximating y ' (u) using a truncated series expansion of Clique polynomials. This method is constructed using some basic matrix relations, integral operations, and collocation points. Through this method, the neutral delay problem is transformed into a system of linear algebraic equations. The solution of this algebraic system determines the coefficients of the approximate solution obtained by this method. The efficiency, accuracy, and error analysis of this method are demonstrated by applying it to several numerical problems. All calculations in this method have been performed using the computer program MATLAB R2021a.
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    Article
    New Proofs of Fejer's and Discrete Hermite-Hadamard Inequalities With Applications
    (Ankara Univ, Fac Sci, 2023) Sekin, Cagla; Tamar, Mehmet Emin; Aliyev, Ilham A.
    New proofs of the classical Fejer inequality and discrete Hermite-Hadamard inequality (HH) are presented and several applications are given, including (HH)-type inequalities for the functions, whose derivatives have inflection points. Morever, some estimates from below and above for the first moments of functions f : [a, b] -> R about the midpoint c = (a+b)/2 are obtained and the reverse Hardy inequality for convex functions f : (0, infinity) -> (0, infinity) is established.