Yazar "Orhan, Sevda" seçeneğine göre listele
Listeleniyor 1 - 19 / 19
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe A KOROVKIN-TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN STATISTICAL A-SUMMABILITY SENSE(Univ Miskolc Inst Math, 2014) Orhan, Sevda; Dirik, Fadime; Demirci, KamilIn this paper, using the concept of statistical A- summability which is stronger than classical convergence and A- statistical convergence, we obtain a Korovkin- type approximation theorem for double sequences of positive linear operators of two variables from H w. K/ to C B. K/. Also, we give an example such that our new approximation result works but its classical and A- statistical cases do not work.Öğe İstatistiksel Korovkin tipi yaklaşım teoremleri(Sinop Üniversitesi, 2011) Orhan, Sevda; Demirci, KamilBu yüksek lisans tezi üç bölümden olusmaktadır. Birinci bölüm giris için ayrıldı. kincibölümde istatistiksel yakınsaklık kavramı tanıtıldı. Buna iliskin örnekler ve bazısonuçlar verildi. Üçüncü bölümün birinci kısmında pozitif lineer operatörler ile ilgiligenel bilgiler ve ikinci kısımda klasik Korovkin tipi yaklasım teoremleri verildi.Üçüncü kısımda istatistiksel yakınsaklık kullanılarak Korovkin tipi teorem çalısıldı vebu teoremin mertebesi verildi. Dördüncü ve besinci kısımda sırasıyla periyodikfonksiyonlar için istatistiksel Korovkin tipi teorem ve [ , ] p L a b de istatistiksel Korovkintipi teorem incelendi. Son kısımda ise pozitif lineer operatörlerin es-istatistikselyakınsaklıgı ve es-istatistiksel yakınsaklık kullanılarak bir Korovkin tipi teoremçalısıldı. Daha sonra bu teoremi saglayan fakat klasik ve istatistiksel durumusaglamayan bir örnek verildi. Ayrıca es-istatistiksel yakınsaklık oranı süreklilik modülüyardımıyla hesaplandı.Öğe Ka-convergence and Korovkin type approximation(Springer, 2018) Orhan, Sevda; Demirci, KamilIn the present paper, we study a Korovkin type approximation theorem in the setting of -convergence that contains the classical result. We also study the rate of -convergence and afterwards, we give some concluding remarks.Öğe Korovkin type approximation for double sequences via statistical A-summation process on modular spaces(Univ Babes-Bolyai, 2018) Orhan, Sevda; Kolay, BurcakIn this work, we introduce the Korovkin type approximation theorems on modular spaces via statistical A-summation process for double sequences of positive linear operators and we construct an example satisfying our new approximation theorem but does not satisfy the classical one.Öğe Korovkin type theorems in weighted Lp-spaces via statistical A-summability(Universitatii Al.I.Cuza din Iasi, 2016) Orhan, Sevda; Acar, Tuncer; Dirik, FadimeIn this paper, we study Korovkin type approximation theorems on weighted spaces (formula presented) and (formula presented), with help of statistical A-summability which is stronger than A -statistical convergence. Also, we construct examples such that our new approximation result works but its statistical case does not work. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.Öğe Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence(Hindawi Ltd, 2015) Bardaro, Carlo; Boccuto, Antonio; Demirci, Kamil; Mantellini, Ilaria; Orhan, SevdaWe deal with a new type of statistical convergence for double sequences, called Psi-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence inmodular spaces. Finally, we give some application to moment-type operators in Orlicz spaces.Öğe Modüler uzaylarda istatistiksel A-toplam süreci ve Korovkin teoremi(Sinop Üniversitesi, 2017) Orhan, Sevda; Demirci, KamilBu doktora tezinde ilk olarak tez içerisinde kullanılacak olan bazı önemli tanımlar ve teoremler tanıtılmıştır. Bulgular bölümünün birinci kısmında tek indisli diziler için B-istatistiksel A-toplam süreci yardımıyla Korovkin tipi yaklaşım teoremleri modüler uzaylar üzerinde çalışılmış ve bu yeni yaklaşım teoremini sağlayan bir örnek verilmiştir. Bulgular bölümünün ikinci kısmında ise, çift indisli diziler için istatistiksel modüler yakınsaklık kavramı verilmiş ve bu kavram yardımıyla Korovkin tipi teoremler elde edilmiştir. Daha sonra bu teoremin koşulunu sağlayan fakat çift indisli diziler için modüler Korovkin tipi teoremin koşullarını sağlamayan bir örnek verilmiştir. Bulgular bölümünün son kısmında ise, çift indisli diziler için istatistiksel A-toplam süreci yardımıyla Korovkin tipi yaklaşım teoremleri modüler uzaylar üzerinde çalışılmış ve elde edilen sonuçların daha kuvvetli olduğunu gösteren bir örnek verilmiştir.Öğe Relative Hemen Hemen Yakinsaklik ve Yaklasim Teoremleri(Sinop Üniversitesi, 2016) Demirci, Kamil; Orhan, Sevda; Kolay, BurçakBu makalede, yeni bir hemen hemen yakinsaklik türütanitacagiz ve bu yakinsakligi kullanarak Korovkin tipi yaklasim teoremiverecegiz. Daha sonra bizim sonucumuzun önceden verilen sonuçlardan daha güçlüoldugunu gösteren bir örnek verecegiz. Ayrica, bazi sonuçlar sunacagiz.Öğe Relative modular convergence of positive linear operators(Springer, 2016) Yilmaz, Burcak; Demirci, Kamil; Orhan, SevdaIn this paper we define a new type of modular convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem via this type of convergence in modular spaces. Then, we construct an example such that our new approximation result works but its classical cases do not work.Öğe Statistical A-summation process and Korovkin type approximation theorem on modular spaces(Springer, 2014) Orhan, Sevda; Demirci, KamilIn this paper, we obtain an extension of the classical Korovkin theorem for a sequence of positive linear operators on a modular space using a statistical -summation process. Also, we give an example which satisfies this theorem.Öğe Statistical approximation by double sequences of positive linear operators on modular spaces(Springer, 2015) Orhan, Sevda; Demirci, KamilIn this paper, using the concept of statistical convergence, which is stronger than the Pringsheim convergence, we study the problem of approximation to a function by means of double sequences of positive linear operators defined on a modular space. Also, a non-trivial application is presented.Öğe Statistical convergence on probabilistic modular spaces(Univ Babes-Bolyai, 2014) Orhan, Sevda; Dirik, Fadime; Demirci, KamilIn this work, we introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work. Also we de fine statistical limit points, statistical cluster points on probabilistic modular spaces. Finally, we give the relations between these notions and limit points of sequences on probabilistic modular spaces.Öğe Statistical e-Convergence of Bögel-Type Continuous Functions(Springer International Publishing, 2018) Demirci, Kamil; Orhan, SevdaIn the present work, using the concept of statistical e-convergence instead of Pringsheim’s sense for double sequences, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators defined on the space of all real-valued B-continuous functions on a compact subset of the real two-dimensional space. Then, displaying an example, it is shown that our new result is stronger than its classical version. © 2018, Springer International Publishing AG, part of Springer Nature.Öğe Statistical relative A-summation process for double sequences on modular spaces(Springer-Verlag Italia Srl, 2018) Demirci, Kamil; Orhan, Sevda; Kolay, BurcakIn the present paper, we extend the Korovkin type approximation theorem via statistical relative A- summation process onto the double sequences of positive linear operators in a modular space. Then we discuss the reduced results which are obtained by special choice of the scale function and the matrix sequences. We apply our new result to bivariate Bernstein- Kantorovich operators in Orlicz spaces and hence we show that it is stronger than the results obtained previously.Öğe Statistical Relative Approximation on Modular Spaces(Springer Basel Ag, 2017) Demirci, Kamil; Orhan, SevdaIn the present paper, using the concept of statistical relative convergence, we study the problem of approximation to a function by means of double sequences of positive linear operators defined on a modular space. Also, a non-trivial application is presented.Öğe Statistical Relative Α-Summation Process and Korovkin-Type Approximation Theorem on Modular Spaces(Springer International Publishing Ag, 2018) Kolay, Burcak; Orhan, Sevda; Demirci, KamilIn this paper, we present the notion of relative Alpha-summation process. Then we give a statistical Korovkin-type approximation theorem via relative Alpha-summation process in the setting of modular spaces, which includes as particular cases Lp, Orlicz and Musielak-Orlicz spaces. Finally, we give an example showing that our results are proper extensions of the corresponding ones.Öğe Statistically Relatively Uniform Convergence of Positive Linear Operators(Springer Basel Ag, 2016) Demirci, Kamil; Orhan, SevdaIn this paper we define a new type of statistical convergence by using the notions of the natural density and the relatively uniform convergence. We study its use in the Korovkin-type approximation theory. Then, we construct an example such that our new approximation result works but its classical and statistical cases do not work. We also compute the rates of statistically relatively uniform convergence of sequences of positive linear operators.Öğe Strong and A-statistical comparisons for double sequences and multipliers(Studia Universitatis Babeş-Bolyai Mathematica, 2013) Orhan, Sevda; Dirik, FadimeIn this work, we obtain strong and A-statistical comparisons for double sequences. Also, we study multipliers for bounded A-statistically convergent and bounded A-statistically null double sequences. Finally, we prove a Steinhaus type result.Öğe Weighted Statistical Relative Approximation by Positive Linear Operators(Springer International Publishing, 2018) Demirci, Kamil; Orhan, Sevda; Kolay, BurçakIn this paper we define weighted statistical relative uniform convergence by using weighted density and give a Korovkin-type approximation theorem. Then, we construct an example such that our new approximation result works but its weighted statistical and statistical (and classical) cases do not work. We also compute the rates of weighted statistical relative uniform convergence of sequences of positive linear operators. © 2018, Springer International Publishing AG, part of Springer Nature.
