Turan, Mehmet

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https://hdl.handle.net/20.500.14411/6771
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T., Mehmet
Turan M.
M.,Turan
Turan,Mehmet
Mehmet, Turan
T.,Mehmet
Turan A.
Mehmet Turan
M., Turan
Turan, Mehmet
Turan,M.
Turan, M.
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Profesör Doktor
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mehmet.turan@atilim.edu.tr
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Mathematics
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SUSTAINABLE CITIES AND COMMUNITIES
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LIFE BELOW WATER
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CLEAN WATER AND SANITATION
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INDUSTRY, INNOVATION AND INFRASTRUCTURE
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PEACE, JUSTICE AND STRONG INSTITUTIONS
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LIFE ON LAND
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REDUCED INEQUALITIES
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AFFORDABLE AND CLEAN ENERGY
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DECENT WORK AND ECONOMIC GROWTH
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Scholarly Output

55

Articles

44

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241/2899

Supervised MSc Theses

5

Supervised PhD Theses

2

WoS Citation Count

82

Scopus Citation Count

95

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WoS Citations per Publication

1.49

Scopus Citations per Publication

1.73

Open Access Source

13

Supervised Theses

7

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Mathematical Methods in the Applied Sciences3
Numerical Functional Analysis and Optimization2
Quaestiones Mathematicae2
Results in Mathematics2
Mathematica Slovaca2
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    Doctoral Thesis
    İnsansız Hava Aracı ve Fırlatma Kamyonunundaki Fırlatma Sisteminin Birlikte Çalışmasının Geliştirilmesi
    (2018) Aboharba, Salah Elhadı Khalıfa; Arıkan, Kutluk Bilge; Turan, Mehmet
    Bu tez, insansız hava aracının (İHA) paket dağıtma amacıyla farklı bir şekilde kullanımını incelemektedir. İHA'nın paketleri doğrudan ana depodan alarak dağıtmasını zorlaştıran kısıtlı batarya kapasitesi ve sınırlı uçuş süresi problemleri göz önünde bulundurularak, İHA ve dağıtım kamyonu işbirliği yapan bir sistem önerilmektedir. Bu çalışma, paketleri de taşıyan bir kamyon ve bu kamyonu üs olarak kullanan İHA'nın dağıtım güzergâhı optimizasyonuna odaklanmıştır. Öncelikle, güç tüketimi ve tam sayılı doğrusal programlama modelleri geliştirilmiş ve ardından paketlerin teslim edileceği müşterileri gruplara ayırmak ve kamyon için en uygun bekleme konumunu hesaplamak üzere K-ortalama algoritmasından faydalanılmıştır. Her bir müşteri kümesi içerisinde İHA'nın izleyeceği rota ise karınca kolonisi optimizasyon algoritması ve en yakın komşuluk algoritması ile hesaplanmıştır. Teslimat kamyonu için en uygun konumun hesaplanması, kat edilen mesafenin minimize edilmesi, güç sarfiyatını dikkate alarak teslimat süresinin minimize edilmesi için kullanılan tüm algoritmalar MATLAB ortamında uygulanmıştır. İHA-kamyon iş birlikteliğine sahip bu sistem ile tek başına kamyonun dağıtım amaçlı kullanımı karşılaştırılmıştır. Sonuçlar, önerilen sistem ile dağıtımın daha kısa sürede tamamlandığını sunmaktadır. Aynı zamanda İHA'nın sınırlı uçuş süresi sorununun işbirlikçi sistem kullanılarak giderildiği de gösterilmektedir. Bunlara ek olarak, müşteri taleplerinin eşit olmadığı durumlarda, İHA'nın güç tüketimini en aza indirecek rotayı hesaplamak adına, en yüksek talep ve en kısa mesafe isteklerini oranlayarak kullanan bir yöntem de geliştirilmiştir. Bu yöntemde de karınca kolonisi optimizasyonu ve en yakın komşuluk algoritması uygulanmış olup sonuçlar en yakın komşuluk algoritmasının daha etkili olduğunu göstermektedir.
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    Conference Object
    Citation - WoS: 2
    The Limit q-bernstein Operators With Varying q
    (Springer international Publishing Ag, 2019) Almesbahi, Manal Mastafa; Ostrovska, Sofiya; Turan, Mehmet
    [No Abstract Available]
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    Conference Object
    Density-Aware Outage in Clustered Ad Hoc Networks
    (Ieee, 2018) Eroglu, Alperen; Onur, Ertan; Turan, Mehmet
    Density of ad hoc networks may vary in time and space because of mobile stations, sleep scheduling or failure of nodes. Resources such as spectrum will be wasted if the network is not density-aware and -adaptive. Towards this aim, distributed and robust network density estimators are required. In this paper, we propose a novel cluster density estimator in random ad hoc networks by employing distance matrix. Monte-Carlo simulation results validate the proposed estimator. The accuracy of the estimator is impressive even under a high amount of distance measurement errors. We also propose a network outage model and a transmit power adaption technique that are density-aware. The results indicate the necessity of the density-aware solutions for making network performance better from capacity, coverage and energy conservation viewpoints.
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    Article
    Citation - Scopus: 3
    Bifurcation in a 3d Hybrid System
    (2010) Akhmet,M.U.; Turan,M.
    In this paper, we study a 3 dimensional Hybrid system which involves a switching mechanism such that at the moment of switching the differential equation that governs the mode] is changing. We first show that there is a center manifold and based on the results in [2] we show that the system under investigation has a Hopf bifurcation. An appropriate example is constructed to illustrate the theory. © Dynamic Publishers, Inc.
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    Article
    How Analytic Properties of Functions Influence Their Images Under the Limit q-Stancu Operator
    (Springer Basel AG, 2026) Gurel, Ovgu; Ostrovska, Sofiya; Turan, Mehmet
    In the study of various q-versions of the Bernstein polynomials, a significant attention is paid to their limit operators. The present work focuses on the impact of the limit q-Stancu operator Sq infinity,alpha on the analytic properties of functions when 0 < q < 1 and alpha > 0. It is shown that for every f is an element of C[0, 1], the function S-q,(alpha infinity)fadmits an analytic continuation into the disk {z : z+alpha/(1-q) < 1+ alpha/(1-q)}. In addition, it is proved that the more derivatives f has at x = 1, the wider this disk becomes. Further, if f is infinitely differentiable at x = 1, then the function S-q,(alpha infinity)fis entire. Finally, some growth estimates for (S-q,(alpha infinity)f)(z) are obtained.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 1
    The Continuity in Q of the Lupaş Q-Analogues of the Bernstein Operators
    (Academic Press inc Elsevier Science, 2024) Yilmaz, Ovgue Gurel; Turan, Mehmet; Ostrovska, Sofiya; Turan, Mehmet; Ostrovska, Sofiya; Turan, Mehmet; Ostrovska, Sofiya; Mathematics; Mathematics
    The Lupas q-analogue Rn,q of the Bernstein operator is the first known q-version of the Bernstein polynomials. It had been proposed by A. Lupas in 1987, but gained the popularity only 20 years later, when q-analogues of classical operators pertinent to the approximation theory became an area of intensive research. In this work, the continuity of operators Rn,q with respect to parameter q in the strong operator topology and in the uniform operator topology has been investigated. The cases when n is fixed and n -> infinity have been considered. (c) 2022 Elsevier Inc. All rights reserved.
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    Article
    On the Moment-Determinacy of Power Lindley Distribution and Some Applications To Software Metrics
    (Acad Brasileira de Ciencias, 2021) Khalleefah, Mohammed; Ostrovska, Sofiya; Turan, Mehmet
    The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E. Ghitany et at who initiated the investigation of its properties and possible applications. In this article, new results on the power Lindley distribution are presented. The focus of this work is on the moment-(in)determinacy of the distribution for various values of the parameters. Afterwards, certain applications are provided to describe data sets of software metrics.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    On the Powers of the Kummer Distribution
    (Academic Publication Council, 2017) Ostrovska, Sofiya; Turan, Mehmet; Mathematics
    The Kummer distribution is a probability distribution, whose density is given by f (x) = cx (alpha-1)(1 + delta x)(-gamma) e(-beta x), X > 0, where alpha, beta, delta > 0, gamma is an element of R and C is a normalizing constant. In this paper, the distributions of random variable X-P, p > 0, where X has the Kummer distribution, are considered with the conditions being IFR/DFR, some properties of moments depending on the parameters and the moment-(in) determinacy. In the case of moment-indeterminacy, exemplary Stieltjes classes are constructed.
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    Master Thesis
    İkinci Mertebeden Lineer Olmayan Bir Fark Denkleminin Dinamikleri Üzerine
    (2014) Aksoy, Aycan; Turan, Mehmet
    Bu tezde iki keyfi parametre içeren ikinci dereceden özel bir rasyonel fark denklemi ele alınmıştır. Bu denklem bazı dinamik yapıları incelenmiştir: pozitif çözümlerin kararlılık ve yarı döngü analizleri; periyodik çözümlerin varlığı; denge noktasının yerel ve global kararlılık analizleri yapılmıştır. Bu tez dört bölümden oluşmaktadır. İlk bölümde fark denklemleri hakkında tarihsel bilgi, bunların bazı modellemeleri, ve yakın zamanda yapılmış bazı çalışmalar verilmiştir. İkinci bölümde, diziler ve fark denklemleriyle ilgili bilinen tanımlar ve sonuçlar gösterilmiştir. Asıl sonuçlar Bölüm 3'te sunulmuştur. Son bölümde kısa bir sonuç yazılmıştır.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    The Distance Between Two Limit q-bernstein Operators
    (Rocky Mt Math Consortium, 2020) Ostrovska, Sofiya; Turan, Mehmet
    For q is an element of (0, 1), let B-q denote the limit q-Bernstein operator. The distance between B-q and B-r for distinct q and r in the operator norm on C[0, 1] is estimated, and it is proved that 1 <= parallel to B-q - B-r parallel to <= 2, where both of the equalities can be attained. Furthermore, the distance depends on whether or not r and q are rational powers of each other. For example, if r(j) not equal q(m) for all j, m is an element of N, then parallel to B-q - B-r parallel to = 2, and if r = q(m) for some m is an element of N, then parallel to B-q - B-r parallel to = 2(m - 1)/m.