Browsing by Author "Nuray, Fatih"
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Lacunary invariant statistical convergence of double sequences of sets
Nuray, Fatih; Ulusu, Uğur (2019)In this paper, we introduce the concepts of Wijsman invariant convergence, Wijsman invariant statistical convergence, Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence for double ... 
Lacunary statistical convergence of double sequences of sets
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (2016)In this paper, we study the concepts of Wijsman statistical convergence, Wijsman lacunary statistical convergence, Wijsman lacunary convergence and Wijsman strongly lacunary convergence double sequences of sets and investigate ... 
Lacunary statistical convergence of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Canadian Research & Development Center of Sciences and Cultures, 2012)Several notions of convergence for subsets of metric space appear in the literature. In this paper we deﬁne lacunary statistical convergence for sequences of sets and study in detail the relationship between other convergence ... 
Lacunary statistical summability of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Konuralp Journal of Mathematics, 2015)In this paper we deﬁne the WS_θanalog of the Cauchy criterion for convergence and show that it is equivalent to Wijsman lacunary statistical convergence. Also, Wijsman lacunary statistical convergence is compared to other ... 
Lambda İstatistiksel Yakınsak Fonksiyon Dizileri
Şahin, Ayşe (2013)Bu tez çalışması yedi bölümden oluşmaktadır. İlk bölüm giriş kısmına ayrılarak genel bir literatür bilgisi verilmiştir. İkinci bölümde, gerekli olan temel kavramlar verilmiştir. Üçüncü bölümde, istatistiksel yakınsaklık ... 
Linear functionals connected with strong double cesaro summability
Nuray, Fatih; Pancaroğlu Akın, Nimet (2019)D. Borwein characterized linear functionals on the normed linear spaces wp and Wp. In this paper we extend his results by presenting definitions for the double strong Cesaro mean. Using these new notions of strongly ... 
Multivalence of bivariate functionsof bounded index
Nuray, Fatih; Patterson, Richard F. (2015)This paper examines the relationship between the concept of bounded index and the radius of univalence, respectively pvalence, of entire bivariate functions and their partial derivatives at arbitrary points in C^2. 
On asymptotically ideal invariant equivalence of double sequences
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (International Conference on Mathematics and Related Sciences(ICMRS2018), 2018)In this study, the concepts of asymptotically I^sigma_2 equivalent, asymptotically invariant equivalent, strongly asymptotically invariant equivalent and pstrongly asymptotically invariant equivalent for double sequences ... 
On asymptotically lacunary statistical equivalent set sequences
Ulusu, Uğur; Nuray, Fatih (Hindawi Publishing Corporation, 2013)This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also ... 
On ideal invariant convergence of double sequences and some properties
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (Creative Mathematics and Informatics, 2018)In this paper, we study the concepts of invariant convergence, pstrongly invariant convergence ([V_2σ ]p), I2invariant convergence (I^σ_2), I∗_2invariant convergence (I^σ∗_2) of double sequences and investigate the ... 
On ideal invariant convergence of double sequences and some properties
Dündar, Erdinç; Ulusu, Uğur; Nuray, Fatih (Inter.Conf.on Adv.in Nat.and App.Sci.(ICANAS2017), 2017)In this paper, we study the concepts of invariant convergence, pstrongly invariant convergence ([V^2_sigma ]_p), I2invariant convergence (I_sigma^2), I*_2 invariant convergence (I_2*^sigma) of double sequences and ... 
On strongly lacunary summability of sequences of sets
Ulusu, Uğur; Nuray, Fatih (Journal of Applied Mathematics & Bioinformatics, 2013)In this paper, we introduce the concept of Wijsman strongly lacunary summability for set sequences. Then, we discus its relation with Wijsman strongly Ces`aro summability. Furthermore, we also give its relation with Wijsman ... 
Some generalized convergence types using ideals in amenable semigroups
Ulusu, Uğur; Dündar, Erdinç; Nuray, Fatih (Bulletin of Mathematical Analysis and Applications, 2019)The aim of this study is to introduce the concepts of Istatistically convergence, Istatistically preCauchy sequence and Istrongly psummability for functions deﬁned on discrete countable amenable semigroups and to ... 
Some properties of 2dimensional interval numbers
Nuray, Fatih; Dündar, Erdinç; Ulusu, Uğur (International Conference on Mathematical and Related Sciences, 2018)In this paper, we will introduce the notion of convergence of two dimensional interval sequences and show that the set of all two dimensional interval numbers is a metric space. Also, some ordinary vector norms will be ... 
Some Tauberian theorems for fourdimensional Euler and Borel summability
Nuray, Fatih; Patterson, Richard F. (2015)The fourdimensional summability methods of Euler and Borel are studied as mappings from absolutely convergent double sequences into themselves. Also some Tauberian results are proved. 
Some uniform continuity definitions for real valued functions and some properties
Nuray, Fatih; Ulusu, Uğur; Dündar, Erdinç (International Conference on Advances in Natural and Applied Sciences, 2017)The purpose of this study is to give some uniform continuity definitions for real valued functions and investigate some properties about these concepts. 
Submatrices of four dimensional summability matrices
Nuray, Fatih; Patterson, Richard F. (2015)In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RHregular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a ... 
Vectorvalued bivariate entire functions of bounded index satisfying a system of differential equations
Nuray, Fatih; Patterson, Richard (2018)The concept of complex valued bivariate entire functions of bounded index is extended to C^n valued bivariate entire functions by replacing the absolute value in the definition of an entire function of bounded index by ... 
Wijsman Iinvariant convergence of sequences of sets
Akın, Nimet; Dündar, Erdinç; Nuray, Fatih (2016)In this paper, we study the concepts of Wijsman Iinvariant convergence (I^W_sihma ), Wijsman I*invariant convergence (I*W_sigma ), Wijsman pstrongly invariant convergence ([WV_sigma]_p) of sequences of sets and investigate ... 
Wijsman Iinvariant convergence of sequences of sets
Pancaroğlu Akın, Nimet; Dündar, Erdinç; Nuray, Fatih (Bulletin of Mathematical Analysis and Applications, 2019)In this paper, we study the concepts of Wijsman Iinvariant convergence (I^W_σ ), Wijsman I*invariant convergence (I*^Wσ ), Wijsman pstrongly invariant convergence ([W Vσ]p) of sequences of sets and investigate the ...