Prof. Dr. Hüseyin Aktuğlu

Contact Information

E-Mail: huseyin.aktuglu@emu.edu.tr                             Tel: +90 392 630 3201                                                              Address:                                                                                       Rector's Office,
Leonardo Da Vinci Street,
Eastern Mediterranean University,
Famagusta, North Cyprus



Education:

Degree
Department
University
Year
Bachelor
Mathematics
Karadeniz Teknik Üniversitesi1992
Master's
Mathematics
Eastern Mediterranean University
1994
Ph.D.
Mathematics
Eastern Mediterranean University
2002

Academic Appointments

  Assistant Professor : 2002-2011                                                                                                                                                                  Associate Professor : 2011- 2017                                                                                                                                                        Professor                   : 2017-                                                                                                    

Master's Theses Supervised

  1. Mehmet Karay, “Fixed Point Theorems", Doğu Akdeniz Üniversitesi, 2005.
  2. Halil Gezer, “Statistical Convergence", Doğu Akdeniz Üniversitesi, 2008.
  3. Aysel Aygören, “Fractional Derivatives and Integrals", Doğu Akdeniz Üniversitesi, 2014. 
  4. Hande Kukul,"αβ-statistical convergence", Doğu Akdeniz Üniversitesi, 2014.
  5. Saadia Yousuf, A-statistical convergence", Doğu Akdeniz Üniversitesi, 2016.
  6. Erdem Baytunç, “Converggent Sequences and Statistical Limit points", 2018.  

Ph.D. Theses Supervision

  1. Şerife Bekar, “q-Matrix Summability Methods", Doğu Akdeniz Üniversitesi, 2011.
  2. Halil Gezer, “ Equistatistical Convergence", Doğu Akdeniz Üniversitesi, 2013.
  3. Seyed Yashar Zaheriani,"alpha beta statistical convergence in metric spaces", 2015-   

Publications SCI & SSCI & Arts and Humanities

  1. Aktuğlu, H, Gezer, H. “ Korovkin type Approximation Theorem Proved via Weighted αβ- statistical Convergence for bivariate functions. Filomat accepted for publication, 2018.
  2. Özarslan, M.A., Aktuğlu, H., Weighted αβ-statistical convergence of Kantorovich- Mittag-Leffler operators, Mathematica Slovaca. Volume 66, (3), 2016 .
  3. Aktuğlu, H, Özarslan, M.A, “Anti-periodic BVP for Volterra integro-differential equation of fractional order 1 < alpha <= 2, involving Mittag-Leffler function in the kernel", Journal of nonlinear sciences and applications, Volume: 9 Issue: 2 Pages: 452-460, 2016
  4. Aktuğlu, H., “Korovkin type theorem for non-tensor Balazs type Bleimann, Butzer and Hahn operators". Mathematical methods in the applied sciences, 38, (9) Pages: 1937-1944, 2015.
  5. Aktuğlu, H., “Korovkin type approximation theorems proved via αβ-statistical convergence". Journal of Computational and applied mathematics, Volume: 259 Pages: 174-181, Part: A , 2014.
  6. Aktuğlu, H, Özarslan, M.A, “Solvability of differential equations of order 2 < alpha<= 3 involving the p-Laplacian operator with boundary conditions". Advances in difference Equations, Article Number: 358, 2013.
  7. Özarslan, M.A., Aktuğlu, H,. “Local Approximation Properties for certain King type Operators", Filomat, Volume: 27 Issue: 1 pp. 173-181, 2013.
  8. H. Aktuğlu, M.A. Özarslan, “On the Solvability of Caputo q-Fractional Boundary Value Problem Involving p-Laplacian  Operator",  Abstarct  and  Applied  Analysis, Article Number: 658617, 2013.
  9. Özarslan, M.A., Aktuğlu, H,. “Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators", Journal of Applied Mathematics, Article Number: 613258, 2013.
  10. Özarslan, M.A., Aktuğlu, H,. “A-statistical approximation of generalized Szasz- Mirakjan-Beta operators", Applied Mathematics Letter, Volume: 24 Issue: 11 pp.1785-1790, 2011.
  11. Aktuğlu, H., Bekar Ş. “q- Cesáro Matrix and q- Statistical Convergence", Journal of Computational and applied mathematics, Volume. 235 Issue: 16, SI, Pages 4717- 4723, 2011.
  12. Aktuğlu, H., Özarslan, M. Ali, Duman, Oktay, “Matrix Summability Methods on The Approximation of Multivariate q-MKZ Operators", Bulletin of The Malaysian Mathematical Sciences Society, Volume: 34, Issue: 3, pp. 465-474, 2011.
  13. Aktuğlu, H, Özarslan, M.A., “Korovkin Type Approximation Theorem for BBH  type Operators via I-convergence". Mathematica Slovaca, (2010) accepted
  14. H. Aktuğlu, M.A. Özarslan and Halil Gezer, ''A-Equistatistical convergence of positive linear operators''. Journal of Computational Analysis and Applications, vol. 12, No 1-A, pp. 7-12, 2010.
  15. S. Zorlu, H. Aktuğlu, M.A. Özarslan. “ An Estimation to the Solution of an initial value problem via q- Bernstein Polynomials, Journal of Computational Analysis and Applications, vol. 12 No. 3, pp. 637-645, 2010.
  16. Aktuğlu, H, Gezer, H. “ Lacunary Equi- statistical Convergence of positive Linear Operators. Cent. Eur. J. Math., 7(3), pp. 558-567, 2009.
  17. Aktuğlu, H., Özarslan, “Local approximation properties of certain class of positive linear operators, Cent. Eur. J. Math., 6(2) 2008, pp. 281-286.
  18. Aktuğlu, H., Özarslan, M. A., Duman, O., '' Better Error Estimates for Szasz- Mirakjan – Beta Operators'' Journal of Computational Analysisi and applications, 2008
  19. Çapar U. Aktuğlu H., 'Overall View of Stochastics in Colombeau Related Algebras'.Stochastic Analysis and Related Topics VIII, (progress in probability series), Birkhauser, pp. 67-98, 2003.
  20. Çapar U. Aktuğlu H., 'A new construction of Colombeau Algebras'.Statistics and Probability Letters, 54, pp.291-299, 2001.

 Papers presented at international scientific meetings and published in the proceedings book (Proceedings)

  1. Çapar U. and Aktuğlu H., 'On the extension Problem in Processes Generalized in the Colombeau Sense'. Proceedings of Prague Stochastics' 98. Academy of Sciences of Czech Republic, pp. 73-79, 1998.    
  2. H. Aktuğlu and Ş. Bekar, “q-Statistical Convergence", 14th International Congress on Computational and Applied Mathematics (ICCAM 2009), 29 September -2 October 2009, Antalya-Turkey.
  3. H. Aktuğlu and Ş. Bekar, On q-Summability Methods, International Conference On Mathematical Science(ICMS), 23-27 November 2010, Abant İzzet Baysal University, Bolu-Turkey.
  4. H. Aktuğlu and Ş. Bekar, q-Matrix Summability Methods, Conference on Summability and Applications 2011, 12-13 May 2011, Istanbul Commerce University, Istanbul-Turkey.
  5. H. Gezer and H. Aktuğlu, Strong A-summability of order α. International conference on Applied Mathematics and Approximation Theory AMAT 2012-Turkey, May 17-20, 2012.
  6. Gezer, H., Aktuğlu, H., A note on weighted αβ-equistatistical convergence of order γ, International conferance on mathematics, an İstanbul meeting for world mathematicians with minisymposium on approximation theory, 3-6 July 2018, İstanbul/Turkey.

 International books or chapters in books

  1.  Çapar U. and Aktuğlu H., 'Overall View of Stochastics in Colombeau Related Algebras'. Stochastic Analysis and Related Topics VIII, (progress in probability series), Birkhauser, pp. 67-90, 2000.

Projects

  1.  KKTC Milli Eğitim Bakanlığı B tipi proje yardımcı yürütücülüğü.

Administrative Duties

  1. Fen-edebiyat Fakültesi Matematik Bölümü Lisansüstü Eğitim Komitesi Başkanı 2018 -    
  2. Doğu Akdeniz Üniversitesi, Rektörlük Akademik İşler Koordinatörü, 2009 – 2014.  
  3. Doğu Akdeniz Üniversitesi, Senato sekreterya görevi, 2010-2014.
  4. Doğu Akdeniz Üniversitesi Müfredat Komitesi Üyesi (Rektörlük Temsilcisi) 2009-2014.
  5. “Orta Eğitim Matematik Öğretmenliği" Genel Koordinatörü, 2007-2009.
  6. Doğu Akdeniz Üniversitesi, Lisansüstü Eğitim Öğretim ve Araştırma Enstitüsü Müdür Yardımcısı Ocak 2004- Mart 2006.
  7. Üniversite Kayıt Komisyonu Üyesi, 2005-2010.
  8. Üniversite Stratejik Planlama Komitesi Üyesi.
  9. Fen ve Edebiyat Fakültesi, Fakülte Kurulu Üyesi (Doçent temsilcisi), 2015-
  10. “Üniversite Sınav Komisyonu Üyesi", 2003 –
  11. Öğrenci Disiplin Kurulu üyeliği 2006-2008.

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