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Browsing Matematik ve Fen Bilgisi Eğitimi by Author "0000-0002-8832-1524"

Browsing Matematik ve Fen Bilgisi Eğitimi by Author "0000-0002-8832-1524"

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  • GENERALIZED A-STATISTICAL CONVERGENCE AND A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES 
    Belen, Cemal; Yildirim, Mustafa (UNIV MISKOLC INST MATHMISKOLC-EGYETEMVAROS, MISKOLC H-3515, HUNGARY, 2013)
    In this paper, we use the notion of ideal to obtain two more general concepts and call them as I -A-statistical convergence and ideal A-summability. We also use the the concept of I -A-statistical convergence to prove a ...
  • Generalized statistical convergence and some sequence spaces in 2-normed spaces 
    Belen, Cemal; Yildirim, Mustafa (HACETTEPE UNIV, FAC SCIHACETTEPE UNIV, FAC SCI, BEYTEPE, ANKARA 06800, TURKEY, 2015)
    In this work, we first define the concepts of A-statistical convergence and A(J)-statistical convergence in a 2-normed space and present an example to show the importance of generalized form of convergence through an ideal. ...
  • Generalized weighted statistical convergence and application 
    Belen, C.; Mohiuddine, S. A. (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2013)
    The object of this paper is to introduce the concepts of weighted lambda-statistical convergence and statistical summability ((N) over bar (lambda), p). We also establish some inclusion relations and some related results ...
  • ON SOME NEW SEQUENCE SPACES AND STATISTICAL CONVERGENCE METHODS FOR DOUBLE SEQUENCES 
    Belen, Cemal; Yildirim, Mustafa (DE GRUYTER POLAND SP Z O OBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND, 2014)
    In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence ...
  • On Statistical and Strong Convergence with Respect to a Modulus Function and a Power Series Method 
    Belen, Cemal; Sumbul, Canan; Yildirim, Mustafa (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2020)
    This paper introduces and focuses on two pairs of concepts in two main sections. The first section aims to examine the relation between the concepts of strong J(p)-convergence with respect to a modulus function f and ...
  • On statistical lacunary summability of double sequences 
    Belen, Cemal; Mursaleen, Mohammad (UNIV NIS, FAC SCI MATHPO BOX 224, VISEGRADSKA 33, NIS 18000, SERBIA MONTENEG, 2014)
    In this paper, we study the notions of statistical lacunary summability and strongly theta(q)-convergence for double sequences. By using four dimensional conservative matrices, we also prove an inequality related to the ...
  • Restricted Uniform Density and Corresponding Convergence Methods 
    Belen, C.; Mohiuddine, S. A. (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2016)
    Recently, the idea of asymptotic density of order alpha has been introduced by Bhunia et. al. in [7]. In the present paper we introduce the notion of uniform density of order alpha and define and study related convergence ...
  • Some Tauberian conditions obtained through weighted generator sequences 
    Belen, Cemal (WALTER DE GRUYTER GMBHGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, 2014)
    Recently, the concept of weighted generator sequence has been introduced by Canak and Totur [1]. They proved that certain conditions in terms of weighted generator sequences are Tauberian conditions for the weighted mean ...
  • Some Tauberian theorems for statistical (C, 1) summability 
    Belen, Cemal (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2014)
    Schoenberg (1959) [23] proved that if a sequence (x(k)) is bounded and statistically convergent to L then it is statistically summable (C, 1) to L. However the converse is not true. In this paper we prove necessary and ...
  • Statistical sigma-Convergence of Double Sequences with Application 
    Belen, Cemal; Mursaleen, M.; Rizvi, Syed M. H. (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)
    The concepts of sigma-statistical convergence, statistical sigma-convergence and strong sigma(q)-convergence of single (ordinary) sequences have been introduced and studied in [M. Mursaleen, O. H. H. Edely, On the invariant ...

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