Results 11 to 20 of about 93 (70)
A generalization on ℐ-asymptotically lacunary statistical equivalent sequences
Journal of Inequalities and Applications, 2013 In this study we extend the concept of ℐ-asymptotically lacunary statistical equivalent sequences by using the sequence p=(pk) which is the sequence of positive real numbers where θ is a lacunary sequence and ℐ is an ideal of the subset of positive ...
E. Savaş, Hafize Gumus
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Journal of Inequalities and Applications, 2014 In this paper, we introduce some new spaces of almost convergent sequences derived by Riesz mean and the lacunary sequence in a real n-normed space. By combining the definitions of lacunary sequence and Riesz mean, we obtain a new concept of statistical ...
Ş. Konca, M. Başarır
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I-Statistical convergence in 2-normed space
Arab Journal of Mathematical Sciences, 2014 In this paper, we investigate the notion I-statistical convergence and I-statistical Cauchy sequence in 2-normed space, study of their relationship, and make some observations about these classes.
Ulaş Yamancı, Mehmet Gürdal
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, 2020 Following the notion of AI -summability method for real sequences [24] we establish a Korovkin type approximation theorem for positive linear operators on UC∗[0, ∞), the Banach space of all real valued uniform continuous functions on [0, ∞) with the ...
GHOSH, Rima, DUTTA, Sudipta
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On New Difference Sequence Space and Their Generalised Almost Statistical Convergence
, 2020 The object of the present paper is to introduce the notion of generalised almost statistical (GAS) convergence of bounded real sequences, which generalises the notion of almost convergence as well as statistical convergence of bounded real sequences.
Ajay Kumar Singh
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Szász-Baskakov type operators based on q-integers
Journal of Inequalities and Applications, 2014 In the present paper, we introduce the q-analog of the Stancu variant of Szász-Baskakov operators. We establish the moments of the operators by using the q-derivatives and then prove the basic convergence theorem.
P. Agrawal, H. Karsli, Meenu Goyal
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Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers
Open Mathematics, 2017 In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general.
Önder Zerrin +2 more
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A note on farthest point problem in Banach spaces
Miskolc Mathematical Notes, 2019 Farthest point problem states that “Must every uniquely remotal set in a Banach space be singleton?” In this paper we introduce the notion of partial ideal statistical continuity of a function which is way weaker than continuity of a function. We give an
S. Som, E. Savaş
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On Some I-Convergent Sequence Spaces Defined by a Modulus Function
Theory and Applications of Mathematics & Computer Science, 2011 In this article we introduce the sequence spaces c I 0 (f), c I (f) and l I ∞ (f) for a modulus function f and study some of the properties of these spaces. Keywords: Ideal, filter,modulus function, Lipschitz function, I-convergence field, I-convergent,
V. Khan, Khalid Ebadullah
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Ideal convergence generated by double summability methods
Demonstratio Mathematica, 2016 The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
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