PROF.DR. CİHAN ORHAN    
Adı : CİHAN
Soyadı : ORHAN
E-posta : orhan@science.ankara.edu.tr
Tel : (0312)212 6720 / 1248
Ünvan : PROF.DR.
Birim : FEN FAKÜLTESİ
Bölüm : MATEMATİK BÖLÜMÜ
ABS Adresi:https://abs.ankara.edu.tr/cihan-orhan-08948
Kişisel Akademik Bilgiler

 

                                                        ÖZGEÇMİŞ

Prof.Dr.Cihan Orhan 

Ankara Üniversitesi, Fen Fakültesi,

Matematik Bölümü,

Tandoğan 06100,Ankara.

    Eğitim Durumu:

Doktora :             1981           Ankara Üniversitesi , 

Yüksek Lisans :  1978            Ankara Üniversitesi ,

Lisans:                1976            Ankara Üniversitesi ,

Akademik  Yükselmeler : 

Profesör:           1993 - …                Ankara Üniversitesi         

Doçent:              1987 – 1993          Ankara Üniversitesi

Yardımcı Doçent: 1984 – 1987       Ankara Üniversitesi

Asistan (Arş.Gör.) : 1981 – 1984    Ankara Üniversitesi    


 İDARİ GÖREVLER: Matematik Bölüm Başkanlığı

                                  2008-2017 ( 9 yıl)

 Araştırma Konuları:

Analiz, Fonksiyonel Analiz, Dizi Uzayları ve  Toplanabilme, Korovkin tipi yaklaşım teorisi 

 Bilimsel Araştırma Yapmak Üzere Bulunduğu Üniversieteler:

May 1985 – May 1986    Birmingham University , England.

15 Sept – 30 Nov 1990    Kent State University, OH, USA.   

16 Aug – 14 Nov 2003    Kent State University, OH, USA.   

18 Aug- 1 Sept 2004       FernUniversität in Hagen, Germany.

 


 

                              YAYIN LİSTESİ

[67] M.Ünver and C.Orhan, Statistical Convergence with respect to Power Series Methods and Applications to Approximation Theory, Numerical Functonal Analysis and Applications,    40 (2019), no.5, 535-547. (SCI-Exp)

[66] N.Ş.Bayram and C.Orhan, Abel Convergence of the Sequence of Positive Linear Opeators in Lp,q(loc), Bull.Belgian Math Soc.-Simon Stevin, 26 (2019), no.1, 71-83. ( SCI-Exp)

[65] E.Taş and C.Orhan, Characterization of q-Cesaro convergence for double sequences, Stud. Univ. Babeş-Bolyai Math. 62(2017), No. 3, 367-376.

[64] T.Yurdakadim and C.Orhan, Some Inequalities and Functionals related to Generalized Limits, Mathematical  Reports, 19(69), 2 (2017), 145-155.   (SCI-Expanded).

[63] T.Yurdakadim, M.K.Khan, H.I.Miller and C.Orhan, Generalized Limits and Statistical Convergence, Mediterr. J. Math. 13 (2016), no.3, 1135-1149.  (SCI-Expanded)

[62] A.Leonov and C.Orhan, On Filter Convergence of Series, Real Anal.Exchange, 40(2014-2015), no.2, 459-473.

[61] M.Ünver and C.Orhan; Matrix characterization of A-statistical convergence of double sequences, Acta Math.Hungarica,143(2014), no.1,159-175. (SCI-Expanded)

[60] M.Ünver, M.K.Khan and C.Orhan; A-Distributional summability in topological spaces, Positivity, 18 (2014), no.1, 131-145. (SCI-Expanded).

[59] C.Orhan and İ.Sakaoglu; Rate of convergence in Lp approximation, Periodica Math.Hungarica,,.68(2014),no2,176-184. (SCI-Expanded)

 [58]  C.Orhan and İ.Sakaoglu;  Strong summation process in Lp spaces, Nonlinear Analysis, 85 (2013), 89-94. (SCI)

 [57]  C.Orhan, E.Taş, T.Yurdakadim; The Buck-Pollard Property for p-Cesaro Matrices, Numerical Functional Analysis and Optinization, 33(2012),190-196. (SCI-Expanded)

 [56] V. Kadets, A. Leonov and C. Orhan; Weak statistical convergence and weak filter convergence for  unbounded sequences, J. Math. Anal. Appl. 371(2010), 414-424 . (SCI)

 [55] M.K.Khan and C.Orhan, Characterizations of Strong and Statistical Convergences, Publ. Math. Debrecen, 76(2010),77-88.  (SCI-Expanded)

 [54] Ö.G.Atllıhan, H.G.İnce and C.Orhan; Some Variations of the Bohman-Korovkin Theorem,  Mathematical and Computer Modelling, 50(2009),1205-1210. (SCI).

 [53]  Ö.G.Atllıhan and C.Orhan; Summation process of positive linear operators,  Computers and mathematics with Applications 56( 2008), 1188-1195. (SCI).

 [52]  O.Duman and C.Orhan, Rates of A-Statistical Convergence of operators in the space of locally integrable functions; Appl. Math.Letters 21(2007), 431-435. (SCI).

 [51]   M.K.Khan and C.Orhan, Matrix characterization of  A-statistical convergence; J. Math. Anal. Appl. 335(2007), 406-417.  (SCI )                                                                             

[50]  Ö.G.Atlihan and C.Orhan, Matrix summability and positive linear operators, Positivity  11(2007),  387-398. (SCI-Expanded)

 [49] J. Connor , J. A. Fridy and C. Orhan, Core equality results for sequences; J. Math. Anal. Appl. 321 (2006), 515-523.   (SCI)

 [48] C. Orhan, Some inequalities between functionals on bounded sequences; Studia  Sci. Math. Hungarica,  44(2007), 225-232.  (SCI-Expanded)

 [47] O. Duman and C. Orhan, An abstract version of the Korovkin approximation theorem; Publ. Math. Debrecen:  69 (2006), 33-46.   (SCI-Expanded)

 [46] O. Duman and C. Orhan, Rates of A-Statistical convergence of positive linear operators; Appl. Math. Letters, 18 (2005), 1339-1344. (SCI)

 [45] F.Móricz and C.Orhan, Tauberian conditions under which statistical convergence follows from statistical summability by weighted means, Studia Sci.Math.Hungarica, 41 (2004), 391- 403.  (SCI-Expanded)

 [44] O.Duman and C.Orhan, Statistical approximation by positive linear operators, Studia Math. 161 (2004), 187-197.   (SCI)

    [43] O.Duman, M.K.Khan and C.Orhan,  A-statistical convergence of approximating operators,  Math.Inequalities &Appl. 6 (2003), 689-699. (SCI)

 [42] H.I.Miller and C.Orhan, Statistical (T) rates of  convergence,  Glasnik  Matematicki, 39 (2004), 101-110.

 [41] K.Demirci, M.K.Khan and C.Orhan, Subspaces of A-statistically convergent sequences,  Studia Sci.Math.Hungarica, 40 (2003), 183-190. (SCI-Expanded)

 [40] O.Doğru, O.Duman and C.Orhan, Statistical approximation  by generalized Meyer-König and Zeller type operators, Studia Sci.Math.Hungarica,40(2003),359-371. (SCI-Expanded)

 [39] O.Duman and C.Orhan, Statistical approximation in the space of locally integrable functions, Publ.Math.Debrecen , 63  (2003), 133-144. (SCI-Expanded)

 [38] K.Demirci,M.K.Khan and C.Orhan, Strong and A-statistical comparisions for sequences, J.Math.Anal.Appl. 278 (2003), 27-33. (SCI)

  [37] O.Duman and C.Orhan, mu-Statistically convergent function sequences, Czechoslovak Math.J. 54 (2004), 413-422. (SCI-Expanded)

 [36] J.Connor, K.Demirci and C.Orhan, Multipliers and factorizations for bounded statistically convergent sequences, Analysis, 22(2002),321-333.

 [35] J.A.Fridy, H.I.Miller and C.Orhan, Statistical rates of convergence, Acta Sci.Math.( Szeged), 69 (2003), 147-157.

 [34] C.Orhan and S.Yardimci, Banach and statistical cores of bounded sequences, Czechoslovak Math.J. 54 (2004), 65-72. (SCI-Expanded)

 [33] A.D.Gadjiev and  C.Orhan, Some approximation theorems via statistical convergence, Rocky Mountain J.Math. 32(2002), 129-138.  (SCI-Expanded)

 [32] H.I.Miller and C.Orhan, On almost convergent  and statistically convergent subsequences. Acta Math.Hungarica, 93(2001),135-151. (SCI-Expanded)

 [31] Demirci, K.; Orhan, C. Bounded multipliers of bounded A-statistically convergent sequences. J. Math. Anal. Appl. 235 (1999), no. 1, 122--129. (SCI)

 [30] C. Orhan,  Translativity of absolute weighted mean summability. Czechoslovak Math. J. 48(123) (1998), 755-761. (SCI-Expanded)

 [29] C. Orhan and Ö. Çakar, Some inclusion theorems for absolute summability. Czechoslovak Math. J. 46(121) (1996), no. 4, 599--605. (SCI-Expanded)

 [28] J. A. Fridy and C. Orhan, Statistical core theorems. J. Math. Anal. Appl. 208 (1997), no. 2, 520--527.  (SCI)

  [27] J. A. Fridy and C. Orhan, Statistical limit superior and limit inferior. Proc. Amer. Math. Soc. 125 (1997), no. 12, 3625--3631. (SCI)

  [26] C. Orhan, FK spaces that include strongly A-summable sequences. Demonstratio Math. 29 (1996), no. 2, 371--375.

  [25] C. Orhan and M. A. Sarigöl, Absolute summability of infinite series. Proc. Indian Acad. Sci. Math. Sci. 105 (1995), no. 2, 201—205. (SCI-Expanded)

  [24] C. Orhan, A short note on weighted mean summability. Indian J. Pure Appl. Math. 26 (1995), no. 1, 63--67.  (SCI-Expanded)

  [23] J. A. Fridy and C. Orhan, Lacunary statistical summability. J. Math. Anal. Appl. 173 (1993), no. 2, 497--504.  (SCI)

  [22] C. Orhan, Conull absolute summability domains. Indian J. Pure Appl. Math. 24 (1993), no. 9, 539--542. (SCI-Expanded)

  [21] C. Orhan and M. A. Sarigöl, On absolute weighted mean summability. Rocky Mountain J. Math. 23 (1993), no. 3, 1091--1098.  (SCI-Expanded)

  [20] J. A. Fridy and C. Orhan, Lacunary statistical convergence. Pacific J. Math. 160 (1993), no. 1, 43--51.  (SCI)

 [19] C. Orhan and Ö. Çakar, Almost A-boundedness and absolute almost summability. Bull. Calcutta Math. Soc. 83 (1991), no. 6, 527--530.

[18] C. Orhan, Some inequalities involving sublinear functionals. Comment. Math. Prace Mat. 31 (1991), 89--96.

 [17] C. Orhan, On F-absolutely equivalent summability methods. Bull. Calcutta Math. Soc. 82 (1990), no. 4, 303--306.

[16] E. Savas and C. Orhan, On strongly sigma-regular summability methods. Bull. Calcutta Math. Soc. 83 (1991), no. 1, 51--54.

[15] Ö. Çakar and C. Orhan, A note on absolute summability. Bull. Calcutta Math. Soc. 83 (1991), no. 1, 29--34.

  [14] C. Orhan, Sublinear functionals and Knopp's core theorem. Internat. J. Math. Math. Sci. 13 (1990), no. 3, 461--468.

  [13] C. Orhan, On equivalence of summability methods. Math. Slovaca 40 (1990), no. 2, 171--176.

  [12] C. Orhan, Almost A-boundedness. J. Inst. Math. Comput. Sci. Math. Ser. 1 (1988), no. 2, 121--125.

[11] M. S. Macphail and C. Orhan, Some properties of absolute summability domains. Analysis 9 (1989), no. 4, 317--322.

   [10] C. Orhan and M. A. Sarıgöl, On F-absolutely translative summability methods. Indian J. Pure Appl. Math. 20 (1989), no. 9, 893--898.  (SCI-Expanded)

  [9] C. Orhan, On absolute summability. Bull. Inst. Math. Acad. Sinica 15 (1987), no. 4, 433--437.

    [8] C. Orhan, Absolutely p-th power conservative matrices. Comm. Fac. Sci. Univ. Ankara Ser. A- 1 Math. Statist. 35 (1986), no. 1-2, 61--65.

    [7] C. Orhan, F-absolute equivalence of F-regular summability methods. Comm. Fac. Sci. Univ. Ankara Sér. A-1 Math. 33 (1984), no. 23, 188--192.

    [6] C. Orhan, Strongly almost regular dual summability methods. Pure Appl. Math. Sci. 24 (1986), no. 1-2, 9--13.

    [5] C. Orhan and E. Öztürk, E. On F-regular dual summability methods. Bull. Inst. Math. Acad. Sinica 14 (1986), no. 1, 99--104.

    [4] C. Orhan, On the summability field of l-l methods of summation. Comm. Fac. Sci. Univ. Ankara Sér. A- 1 Math. 31 (1982), no. 9, 79--88 (1983).

    [3] C. Orhan, Almost regularity of dual summability methods. Comm. Fac. Sci. Univ. Ankara Sér. A- 1 Math. 33 (1984), no. 2, 9--13.

    [2] C. Orhan, Matrix transformations on Cesàro difference sequence spaces. Comm. Fac. Sci. Univ. Ankara Sér. A-1 Math. 33 (1984), no. 1, 1--8.

    [1] C. Orhan, Cesàro difference sequence spaces and related matrix transformations. Comm. Fac. Sci. Univ. Ankara Sér. A-1 Math. 32 (1983), no. 8, 55--63 (1984),.

 

           Konuşmacı olarak katıldığı Uluslararası Konferanslar

 

  1. International Workshop on Sequence Spaces & Applications:Ankara University,

            Ankara / Turkey, 10-16 August 1998.

            Konuşma başlığı: Statistical core theorems.  

              

  1. Bosnian-Croatian Analysis Meeting: Bihac/ Bosnia & Herzegovina, 10-12 May 2001.

      Konuşma başlığı: Multipliers and factorizations for bounded statistically       convergent sequences.

 

  1. Fourth European Congress of Mathematics: Stockholm / Sweeden, 27 June- 2 July 2004.

Poster: Rates of A-Statistical convergence of positive linear operators.

 

      4.  Fejer-Riesz Conference: Eger / Hungary, 8-14 June 2005.

           Konuşma başlığı: Matrix characterization of A-Statistical convergence.

     

  1. International Conference on Numerical Analysis and Approximation Theory:

Cluj-Napoca / Romania, 5-8 July 2006.

Konuşma başlığı: Matrix summability and positive linear operators.

 

6.   Second Bosnian Mathematical Conference , University of Sarajevo,

Sarajevo / Bosnia & Herzegovina , 23-24 June 2007.

Konuşma başlığı: Summation Process of Positive Linear Operators.

 

      7.   17th Summer St.Petersburg Meeting in Analysis,  June 23-28 , 2008,

 St.Petersburg, Russia.

 

      8.   6th  International Conference on Functional Analysis and Approximation Theory,

            September 24-30, 2009. Acquafredda di Maratea / Italy.

             Konuşma başlığı: Some Variations of the Bohman-Korovkin Theorem. 

       9. International Conference on Summablity and Applications, May 12-13, 2012.

            İstanbul Ticaret Üniversitesi, İstanbul. (Dinleyici olarak katıldım).

 

     10. International Conference on Applied Mathematics and Approximation Theory,

            May 17-20, 2012 . TOBB University of Economics and Technology,  Ankara.

            Konuşma başlığı: Weak Fitler Convergence for unbounded Sequences.       

    11.  2 nd International Eurasian Conference on  Mathematical Sciences and Applications,  (IECMSA)  August  26-29 , 2013.  International University of Sarajevo, Bosnia and  Herzegovina.

Konuşma başlığı: Buck Pollard Property for (C,1,1) Method.

   12. 3rd International Eurasian Conference on Mathematical Sciences and Applications  (IECMSA).  August 25—28, 2014. Technical University of Vienna, Vienna, Austria.

 Konuşma başlığı: Generalized Limits and Statistical Covergence.

  13.International Conference on Numerical Analysis and Approximation Theory,  September 6-9,  2018. Cluj-Napoca, Romania.

 Konuşma başlığı: The Scottish Cafe and Statistical Convergence.

  

  

                            YÖNETTİĞİ  DOKTORA TEZLERİ

 

  1. Cafer Coşkun; “Ağırlıklı Ortalama ve p-Cesaro Operatörlerinin Spektrumları”,

      Ankara Üniversitesi, 1992.

  1. Şeyhmus Yardımcı; “Reel Terimli Sınırlı Diziler için Çekirdek Teoremleri”,

      Ankara Üniversitesi, 1993.

  1. Kamil Demirci; “A-İstatistiksel Yakınsaklık ve Çarpan Uzayları”,

      Ankara Üniversitesi, 1998.

  1. İlhan Dağadur; “ Cλ-Conull ve Cλ-Kama FK- Uzayları”,

      Ankara Üniversitesi, 2001.  

  1. Oktay Duman; “İstatistiksel Yakınsak Fonksiyon Dizileri”,

      Ankara Üniversitesi, 2003.

6.  Özlem Girgin Atlıhan, “Pozitif Lineer operatörler ve Matris Toplanabilme    Metodu”,              

       Ankara Üniversitesi, 2008.

7. İlknur Sakaoğlu Özgüç; "Pozitif Lineer Operatörler ve Toplam Süreçleri" ,

    Ankara Üniversitesi, 2013.

8. Mehmet Ünver; "Çift Diziler için A-Kuvvetli Yakınsaklık Karakterizasyonu "

    Ankara Üniversitesi, 2013.

9. Tuğba Yurdakadim: Genelleştirilmiş Limitler ve İstatistiksel Yakınsaklık, Ankara Üniversitesi, 2015.

10. Emre Taş, Çift Dizilerin Altdizilerinin Toplanabilme Özellikleri, Ankara Üniversitesi, 2015.

11. Nilay Şahin Bayram, Lokal İntegrallenbilir Fonksiyon Uzaylarında Toplam Süreçleri, Ankara Üniversitesi, 2017.

 


                          YÖNETTİĞİ  YÜKSEK LİSANS  TEZLERİ

 

  1. Cafer Coşkun; “Spektral Teori ve Spektral Teori Yardımı ile

      Mercerian  Teoremlerinin Elde Edilmesi”,  Ankara Üniversitesi, 1989.

  1. Şeyhmus Yardımcı; “Knopp Çekirdek Teoremi ve Benzerleri”,

      Ankara Üniversitesi, 1989.

  1. Kamil Demirci; “İstatistiksel Yakınsaklık”,  Ankara Üniversitesi, 1992.
  2. Ali Akbulut; “H P -Uzayları”,  Ankara Üniversitesi, 1998.
  3. lhan Dağadur; “Conull ve Coregüler Toplanabilme Alanları”,

      Ankara Üniversitesi, 1995.  


  1. Sevda Karakuş; Diziler için İstatistiksel Çekirdek Kavramı, 2005.

            Ankara Üniversitesi, 2005.

  1. Filiz Kocabıyık; İstatistiksel Limit Noktaları, Ankara Üniversitesi, 2005.
  2. Fahriye Efedayıoğlu; “İstatistiksel Yakınsak Dizilerin Çarpan Uzayları”,

            Ankara Üniversitesi, 2005.

  1. Tuba Aydoğan; Yakınsaklık ve İstatistiksel Yakınsaklık Oranları,

      Ankara Üniversitesi,2006.

10. Özge Şen; Fonksiyon Dizilerinin İstatistiksel Yakınsaklığı,

       Ankara Üniversitesi, 2007.

11. İlknur Sakaoğlu; Dizilerin Çekirdeğini Değişmez Bırakan Dönüşümler,

       Ankara Üniversitesi, 2007.

12. Çiğdem Çulha; Pozitif Lineer Operatör Dizilerinin A-İstatistiksel Yakınsaklığı,

       Ankara Üniversitesi, 2007.

      13. Mehmet Ünver; Toplanabilirlik Alanlarının Çarpan Uzayları,

             Ankara Üniversitesi, 2009.

       14. Tuğba Yurdakadim, İstatistiksel Yakınsak Altdiziler,

             Ankara Üniversitesi, 2010.

       15. Emre Taş, Altdizilerin Toplanabilmesi,

       Ankara Üniversitesi, 2010.

16. Emel Savku, Hahn Özellikli Dizi Uzayları,

      Ankara Üniversitesi, 2010.

17. Rüya Yeğin,  Toplanabilme Metotları ve İterasyon,

       Ankara Üniversitesi, 2011.

 18. Nilay Şahin, Lokal İntegrallenebilir Fonksiyon Uzaylarında Korovkin tipi  Yaklaşımlar,  Ankara Üniversitesi, 2011.

19. Gencay Oğuz, Ergodik Teori ve Toplanabilme Metotları,

     Ankara Universitesi, 2016.

20. Mustafa Gülfırat, İdeal Yakınsaklık ve Bolzano-Weierstrass Özelliği,

Ankara Üniversitesi, 2018.