## Orhan, Cihan

Compute Distance To:
 Author ID: orhan.cihan Published as: Orhan, C.; Orhan, Cihan External Links: MGP
 Documents Indexed: 68 Publications since 1982 2 Contributions as Editor Co-Authors: 31 Co-Authors with 48 Joint Publications 561 Co-Co-Authors
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### Co-Authors

 17 single-authored 7 Khan, Mohammad Kazim 6 Duman, Oktay 6 Fridy, John A. 4 Demirci, Kamil 4 Miller, Harry I. 3 Atlihan, Özlem Girgin 3 Sarigöl, Mehmet Ali 3 Taş, Emre 3 Ünver, Mehmet 3 Yurdakadim, Tuğba 2 Brown, Lawrence Michael 2 Connor, Jeff 2 Ercan, Gülin 2 Oğuz, Gencay 2 Şahin Bayram, Nilay 2 Sakaoǧlu, Ilknur 2 Tezer, Cem 2 Zafer, Ağacık 1 Gadjiev, Akif Djafar oglu 1 Ince, Hatice Gül 1 Kadets’, Volodymyr Mykhaĭlovych 1 Kaptanoğlu, T. 1 Karasözen, Bülent 1 Korkmaz, Mustafa 1 Macphail, Moray St. John 1 Móricz, Ferenc 1 Ostrovska, Sofiya 1 Özçağ, Emin 1 Savaş, Ekrem 1 Tiraş, Yücel 1 Yardimci, Şeyhmus
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### Serials

 7 Journal of Mathematical Analysis and Applications 6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 4 Bulletin of the Calcutta Mathematical Society 4 Czechoslovak Mathematical Journal 3 Indian Journal of Pure & Applied Mathematics 3 Studia Scientiarum Mathematicarum Hungarica 2 Rocky Mountain Journal of Mathematics 2 Numerical Functional Analysis and Optimization 2 Publicationes Mathematicae Debrecen 2 Acta Mathematica Hungarica 2 Applied Mathematics Letters 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Studia Universitatis Babeș-Bolyai. Mathematica 2 Positivity 2 Hacettepe Journal of Mathematics and Statistics 1 Computers & Mathematics with Applications 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Acta Scientiarum Mathematicarum 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Real Analysis Exchange 1 Results in Mathematics 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Analysis 1 Mathematical and Computer Modelling 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Institute of Mathematics and Computer Sciences. Mathematics Series 1 Mathematical Inequalities & Applications 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Analysis (München) 1 Mathematical Reports 1 Mediterranean Journal of Mathematics 1 Sarajevo Journal of Mathematics
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### Fields

 56 Sequences, series, summability (40-XX) 14 Approximations and expansions (41-XX) 14 Functional analysis (46-XX) 10 Operator theory (47-XX) 4 Measure and integration (28-XX) 3 Real functions (26-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 1,081 times in 653 Documents Cited by Year
Some approximation theorems via statistical convergence. Zbl 1039.41018
2002
Lacunary statistical convergence. Zbl 0794.60012
Fridy, J. A.; Orhan, C.
1993
Statistical limit superior and limit inferior. Zbl 0883.40003
Fridy, J. A.; Orhan, C.
1997
$$A$$-statistical convergence of approximating operators. Zbl 1086.41008
Duman, O.; Khan, M. K.; Orhan, C.
2003
Statistical approximation by positive linear operators. Zbl 1049.41016
Duman, O.; Orhan, C.
2004
Lacunary statistical summability. Zbl 0786.40004
Fridy, J. A.; Orhan, C.
1993
On almost convergent and statistically convergent subsequences. Zbl 0989.40002
Miller, H. I.; Orhan, C.
2001
$$\mu$$-statistically convergent function sequences. Zbl 1080.40501
Duman, O.; Orhan, C.
2004
Summation process of positive linear operators. Zbl 1155.41308
Atlihan, Ö. G.; Orhan, C.
2008
Tauberian conditions under which statistical convergence follows from statistical summability by weighted means. Zbl 1063.40007
Móricz, Ferenc; Orhan, Cihan
2004
Statistical core theorems. Zbl 0872.40001
Fridy, J. A.; Orhan, C.
1997
Rates of $$A$$-statistical convergence of positive linear operators. Zbl 1085.41012
Duman, O.; Orhan, C.
2005
Matrix characterization of A-statistical convergence. Zbl 1123.40003
Khan, M. K.; Orhan, C.
2007
Statistical convergence with respect to power series methods and applications to approximation theory. Zbl 1430.40004
Ünver, Mehmet; Orhan, Cihan
2019
On absolute weighted mean summability. Zbl 0799.40003
Orhan, C.; Sarigöl, M. A.
1993
Strong summation process in $$L_p$$ spaces. Zbl 1283.41017
Sakaoğlu, İlknur; Orhan, Cihan
2013
Matrix summability and positive linear operators. Zbl 1149.41007
Atlihan, Özlem G.; Orhan, Cihan
2007
Characterizations of strong and statistical convergences. Zbl 1274.40023
2010
Weak statistical convergence and weak filter convergence for unbounded sequences. Zbl 1205.46005
2010
An abstract version of the Korovkin approximation theorem. Zbl 1121.41012
Duman, Oktay; Orhan, Cihan
2006
Rates of $$A$$-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004
Duman, O.; Orhan, C.
2008
Statistical rates of convergence. Zbl 1046.40002
Fridy, J. A.; Miller, H. I.; Orhan, C.
2003
Core equality results for sequences. Zbl 1092.40001
Connor, J.; Fridy, J. A.; Orhan, C.
2006
Multipliers and factorizations for bounded statistically convergent sequences. Zbl 1030.40004
Connor, J.; Demirci, K.; Orhan, C.
2002
Bounded multipliers of bounded $$A$$-statistically convergent sequences. Zbl 0928.40002
Demirci, K.; Orhan, C.
1999
$$A$$-distributional summability in topological spaces. Zbl 1301.54008
Unver, M.; Khan, M.; Orhan, C.
2014
Ćesáro difference sequence spaces and related matrix transformations. Zbl 0583.47035
Orhan, Cihan
1983
Generalized limits and statistical convergence. Zbl 1360.46014
Yurdakadim, T.; Khan, M. K.; Miller, H. I.; Orhan, C.
2016
Some properties of absolute summability domains. Zbl 0694.40017
Macphail, M. S.; Orhan, C.
1989
Sublinear functionals and KnoppJs core theorem. Zbl 0717.40013
Orhan, C.
1990
On equivalence of summability methods. Zbl 0736.40002
Orhan, C.
1990
Matrix transformations on Cesáro difference sequence spaces. Zbl 0583.47036
Orhan, C.
1984
On filter convergence of series. Zbl 1457.40006
Leonov, Alexander; Orhan, Cihan
2015
Rate of convergence in $$L_p$$ approximation. Zbl 1324.41019
Orhan, C.; Sakaoǧlu, I.
2014
Banach and statistical cores of bounded sequences. Zbl 1045.40002
Orhan, C.; Yardimci, Ş.
2004
On absolute summability. Zbl 0649.40009
Orhan, C.
1987
Translativity of absolute weighted mean summability. Zbl 0949.40013
Orhan, C.
1998
Strong and $$A$$-statistical comparisons for sequences. Zbl 1018.40001
Demirci, K.; Khan, M. K.; Orhan, C.
2003
Subspaces of $$A$$-statistically convergent sequences. Zbl 1051.46004
Demirci, K.; Khan, M. K.; Orhan, C.
2003
Statistical $$(T)$$ rates of convergence. Zbl 1052.40004
Miller, H. I.; Orhan, C.
2004
Some inequalities involving sublinear functionals. Zbl 0753.40006
Orhan, C.
1991
Abel convergence of the sequence of positive linear operators in $$L_{p,q}(loc)$$. Zbl 07060316
Bayram, Nilay Şahin; Orhan, Cihan
2019
The Buck-Pollard property for $$p$$-Cesàro matrices. Zbl 1242.40001
Orhan, Cihan; Tas, E.; Yurdakadim, T.
2012
$$\mathcal{A}$$-Summation process in the space of locally integrable functions. Zbl 07577369
Bayram, Nilay Şahin; Orhan, Cihan
2020
$$\mathcal{A}$$-Summation process in the space of locally integrable functions. Zbl 07577369
Bayram, Nilay Şahin; Orhan, Cihan
2020
Statistical convergence with respect to power series methods and applications to approximation theory. Zbl 1430.40004
Ünver, Mehmet; Orhan, Cihan
2019
Abel convergence of the sequence of positive linear operators in $$L_{p,q}(loc)$$. Zbl 07060316
Bayram, Nilay Şahin; Orhan, Cihan
2019
Generalized limits and statistical convergence. Zbl 1360.46014
Yurdakadim, T.; Khan, M. K.; Miller, H. I.; Orhan, C.
2016
On filter convergence of series. Zbl 1457.40006
Leonov, Alexander; Orhan, Cihan
2015
$$A$$-distributional summability in topological spaces. Zbl 1301.54008
Unver, M.; Khan, M.; Orhan, C.
2014
Rate of convergence in $$L_p$$ approximation. Zbl 1324.41019
Orhan, C.; Sakaoǧlu, I.
2014
Strong summation process in $$L_p$$ spaces. Zbl 1283.41017
Sakaoğlu, İlknur; Orhan, Cihan
2013
The Buck-Pollard property for $$p$$-Cesàro matrices. Zbl 1242.40001
Orhan, Cihan; Tas, E.; Yurdakadim, T.
2012
Characterizations of strong and statistical convergences. Zbl 1274.40023
2010
Weak statistical convergence and weak filter convergence for unbounded sequences. Zbl 1205.46005
2010
Summation process of positive linear operators. Zbl 1155.41308
Atlihan, Ö. G.; Orhan, C.
2008
Rates of $$A$$-statistical convergence of operators in the space of locally integrable functions. Zbl 1147.41004
Duman, O.; Orhan, C.
2008
Matrix characterization of A-statistical convergence. Zbl 1123.40003
Khan, M. K.; Orhan, C.
2007
Matrix summability and positive linear operators. Zbl 1149.41007
Atlihan, Özlem G.; Orhan, Cihan
2007
An abstract version of the Korovkin approximation theorem. Zbl 1121.41012
Duman, Oktay; Orhan, Cihan
2006
Core equality results for sequences. Zbl 1092.40001
Connor, J.; Fridy, J. A.; Orhan, C.
2006
Rates of $$A$$-statistical convergence of positive linear operators. Zbl 1085.41012
Duman, O.; Orhan, C.
2005
Statistical approximation by positive linear operators. Zbl 1049.41016
Duman, O.; Orhan, C.
2004
$$\mu$$-statistically convergent function sequences. Zbl 1080.40501
Duman, O.; Orhan, C.
2004
Tauberian conditions under which statistical convergence follows from statistical summability by weighted means. Zbl 1063.40007
Móricz, Ferenc; Orhan, Cihan
2004
Banach and statistical cores of bounded sequences. Zbl 1045.40002
Orhan, C.; Yardimci, Ş.
2004
Statistical $$(T)$$ rates of convergence. Zbl 1052.40004
Miller, H. I.; Orhan, C.
2004
$$A$$-statistical convergence of approximating operators. Zbl 1086.41008
Duman, O.; Khan, M. K.; Orhan, C.
2003
Statistical rates of convergence. Zbl 1046.40002
Fridy, J. A.; Miller, H. I.; Orhan, C.
2003
Strong and $$A$$-statistical comparisons for sequences. Zbl 1018.40001
Demirci, K.; Khan, M. K.; Orhan, C.
2003
Subspaces of $$A$$-statistically convergent sequences. Zbl 1051.46004
Demirci, K.; Khan, M. K.; Orhan, C.
2003
Some approximation theorems via statistical convergence. Zbl 1039.41018
2002
Multipliers and factorizations for bounded statistically convergent sequences. Zbl 1030.40004
Connor, J.; Demirci, K.; Orhan, C.
2002
On almost convergent and statistically convergent subsequences. Zbl 0989.40002
Miller, H. I.; Orhan, C.
2001
Bounded multipliers of bounded $$A$$-statistically convergent sequences. Zbl 0928.40002
Demirci, K.; Orhan, C.
1999
Translativity of absolute weighted mean summability. Zbl 0949.40013
Orhan, C.
1998
Statistical limit superior and limit inferior. Zbl 0883.40003
Fridy, J. A.; Orhan, C.
1997
Statistical core theorems. Zbl 0872.40001
Fridy, J. A.; Orhan, C.
1997
Lacunary statistical convergence. Zbl 0794.60012
Fridy, J. A.; Orhan, C.
1993
Lacunary statistical summability. Zbl 0786.40004
Fridy, J. A.; Orhan, C.
1993
On absolute weighted mean summability. Zbl 0799.40003
Orhan, C.; Sarigöl, M. A.
1993
Some inequalities involving sublinear functionals. Zbl 0753.40006
Orhan, C.
1991
Sublinear functionals and KnoppJs core theorem. Zbl 0717.40013
Orhan, C.
1990
On equivalence of summability methods. Zbl 0736.40002
Orhan, C.
1990
Some properties of absolute summability domains. Zbl 0694.40017
Macphail, M. S.; Orhan, C.
1989
On absolute summability. Zbl 0649.40009
Orhan, C.
1987
Matrix transformations on Cesáro difference sequence spaces. Zbl 0583.47036
Orhan, C.
1984
Ćesáro difference sequence spaces and related matrix transformations. Zbl 0583.47035
Orhan, Cihan
1983
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### Cited by 428 Authors

 38 Duman, Oktay 38 Mursaleen, Mohammad 35 Et, Mikail 34 Demirci, Kamil 31 Savaş, Ekrem 27 Orhan, Cihan 18 Mohiuddine, Syed Abdul 17 Taş, Emre 17 Yıldız, Sevda 16 Yurdakadim, Tuğba 15 Hazarika, Bipan 15 Kadak, Ugur 15 Ünver, Mehmet 14 Braha, Naim Latif 14 Cakalli, Huseyin 14 Ghosal, Sanjoy Kr 13 Dirik, Fadime 12 Alotaibi, Abdullah M. 12 Altin, Yavuz 12 Kışı, Ömer 11 Agrawal, Purshottam Narain 11 Bhardwaj, Vinod Kumar 11 Doğru, Ogün 11 Nuray, Fatih 11 Sarigöl, Mehmet Ali 11 Şengül, Hacer 10 Altinok, Hifsi 10 Leonetti, Paolo 10 Pehlivan, Serpil 9 Dündar, Erdinç 9 Ulusu, Uǧur 8 Agratini, Octavian 8 Anastassiou, George Angelos 8 Balcerzak, Marek 8 Das, Pratulananda 8 Karakus, Sevda 8 Mishra, Vishnu Narayan 8 Orhan, Sevda 7 Atlihan, Özlem Girgin 7 Çakan, Celal 7 Gurdal, Mehmet 7 Karakaya, Vatan 7 Ozarslan, Mehmet Ali 7 Srivastava, Hari Mohan 6 Acu, Ana Maria 6 Aktuglu, Huseyin 6 Aytar, Salih 6 Boccuto, Antonio 6 Dutta, Hemen 6 Gadjiev, Akif Djafar oglu 6 Gupta, Sandeep K. S. 6 Hazar Güleç, Güllü Canan 6 Patterson, Richard F. 6 Rao, Nadeem 5 Alghamdi, Mohammed Ali 5 Altundag, Selma 5 Belen, Cemal 5 Cinar, Muhammed 5 Dhawan, Shweta 5 Esi, Ayhan 5 Goyal, Meenu 5 Isik, Mahmut 5 Kajla, Arun 5 Khan, Mohammad Kazim 5 Miller, Harry I. 5 Raj, Kuldip 5 Soylemez, Dilek 5 Tripathy, Binod Chandra 4 Altay, Bilâl 4 Aslan, Ismail 4 Bardaro, Carlo 4 Basarir, Metin 4 Cheng, Lixin 4 Çolak, Rifat 4 Connor, Jeff 4 Edely, Osama H. H. 4 Erkuş-Duman, Esra 4 Ghorbanalizadeh, Arash M. 4 Gülle, Esra 4 Gupta, Vijay 4 Kara, Emrah Evren 4 Karaisa, Ali 4 Kiliçman, Adem 4 Kirişçi, Murat 4 Mansour, Toufik 4 Mantellini, Ilaria 4 Özger, Faruk 4 Şahin Bayram, Nilay 4 Sen, Mausumi 4 Şençımen, Celaleddin 4 Som, Sumit 4 Talo, Özer 4 Volodin, Andrei I. 3 Acar, Tuncer 3 Akin, Nimet Pancaroglu 3 Ansari, Khursheed Jamal 3 Aral, Ali 3 Aydin, Abdullah 3 Banerjee, Mandobi 3 Çınar, Selin ...and 328 more Authors
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### Cited in 157 Serials

 39 Journal of Inequalities and Applications 30 Filomat 25 Journal of Mathematical Analysis and Applications 24 Applied Mathematics and Computation 21 Applied Mathematics Letters 21 Positivity 20 Mathematical and Computer Modelling 16 Mathematica Slovaca 14 Computers & Mathematics with Applications 14 Abstract and Applied Analysis 13 Results in Mathematics 11 Numerical Functional Analysis and Optimization 10 Soft Computing 10 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 9 Advances in Difference Equations 8 Czechoslovak Mathematical Journal 8 Demonstratio Mathematica 8 The Journal of Analysis 8 Central European Journal of Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Rocky Mountain Journal of Mathematics 7 Information Sciences 7 Acta Mathematica Hungarica 7 Journal of the Egyptian Mathematical Society 7 Turkish Journal of Mathematics 7 Boletim da Sociedade Paranaense de Matemática. Terceira Série 7 Journal of Function Spaces 6 Topology and its Applications 6 Acta Mathematica Sinica. English Series 5 Periodica Mathematica Hungarica 5 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 5 Hacettepe Journal of Mathematics and Statistics 5 Thai Journal of Mathematics 5 Journal of Function Spaces and Applications 5 Journal of Applied Mathematics & Informatics 5 Palestine Journal of Mathematics 5 Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Quaestiones Mathematicae 4 Communications in Statistics. Theory and Methods 4 Georgian Mathematical Journal 4 Acta et Commentationes Universitatis Tartuensis de Mathematica 4 Kragujevac Journal of Mathematics 4 Sarajevo Journal of Mathematics 4 Proyecciones 4 Tbilisi Mathematical Journal 3 Ukrainian Mathematical Journal 3 Acta Mathematica Vietnamica 3 Fuzzy Sets and Systems 3 International Journal of Mathematics and Mathematical Sciences 3 Kyungpook Mathematical Journal 3 Publications de l’Institut Mathématique. Nouvelle Série 3 Stochastic Analysis and Applications 3 Arab Journal of Mathematical Sciences 3 Analysis (München) 3 Lobachevskii Journal of Mathematics 3 Applied Mathematics E-Notes 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Intelligent and Fuzzy Systems 3 Mediterranean Journal of Mathematics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Asian-European Journal of Mathematics 3 Journal of Nonlinear Science and Applications 3 Afrika Matematika 3 Journal of Classical Analysis 3 International Journal of Analysis and Applications 3 Advances in Operator Theory 3 Constructive Mathematical Analysis 2 Chaos, Solitons and Fractals 2 Calcolo 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Facta Universitatis. Series Mathematics and Informatics 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Applied Analysis 2 Applied Sciences 2 Journal of Applied Mathematics 2 Journal of Mathematical Inequalities 2 Applicable Analysis and Discrete Mathematics 2 European Journal of Pure and Applied Mathematics 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Bulletin of Mathematical Analysis and Applications 2 Annals of Functional Analysis 2 ISRN Mathematical Analysis 2 Azerbaijan Journal of Mathematics 2 Analysis and Mathematical Physics 2 Iranian Journal of Mathematical Sciences and Informatics 2 Axioms 2 Mathematical Sciences 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Korean Journal of Mathematics 1 Analysis Mathematica 1 Applicable Analysis 1 International Journal of General Systems 1 Indian Journal of Pure & Applied Mathematics ...and 57 more Serials
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### Cited in 24 Fields

 504 Sequences, series, summability (40-XX) 270 Approximations and expansions (41-XX) 144 Functional analysis (46-XX) 69 Real functions (26-XX) 56 General topology (54-XX) 34 Operator theory (47-XX) 21 Measure and integration (28-XX) 17 Probability theory and stochastic processes (60-XX) 16 Number theory (11-XX) 12 Statistics (62-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 4 Mathematical logic and foundations (03-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX)