Almost and Statistical Convergence of Ordinary Sequences: A Preview

2014 ◽  
pp. 1-15
Author(s):  
M. Mursaleen ◽  
S. A. Mohiuddine
Keyword(s):  
Statistical Convergence

Approximation in statistical sense to B -continuous functions by positive linear operators

2010 ◽  
Vol 47 (3) ◽  
pp. 289-298 ◽  
Author(s):  
Fadime Dirik ◽  
Oktay Duman ◽  
Kamil Demirci
Keyword(s):  
Compact Subset ◽  
Real Line ◽  
Statistical Convergence ◽  
Approximation Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Statistical Approximation ◽  
Classical Version ◽  
Statistical Sense

In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

Evaluation of the statistical convergence of turbulent flow data

2017 ◽  
Author(s):  
Ramon Martins ◽  
Roney Thompson ◽  
Aristeu Silveira Neto ◽  
Gilmar MOMPEAN ◽  
João Rodrigo Andrade
Keyword(s):  
Turbulent Flow ◽  
Statistical Convergence ◽  
Flow Data

On αβ-statistical convergence for sequences of fuzzy mappings and Korovkin type approximation theorem

Filomat ◽  
2017 ◽  
Vol 31 (12) ◽  
pp. 3749-3760 ◽  
Author(s):  
Ali Karaisa ◽  
Uğur Kadak
Keyword(s):  
Statistical Convergence ◽  
Approximation Theorem ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Bernstein Operator ◽  
Korovkin Type Approximation Theorem ◽  
Type Approximation ◽  
Inclusion Relations ◽  
Prior Investigation

Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise ??-statistical convergence of fuzzy mappings of order ?. Also, we establish the concept of strongly ??-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to ??-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.

A study on the statistical convergence of turbulence simulations around a cylinder

2020 ◽  
Author(s):  
Andrea Ferrero ◽  
Francesco Larocca ◽  
Massimo Germano ◽  
Guglielmo Scovazzi
Keyword(s):  
Statistical Convergence

Remark on lacunary statistical convergence of fuzzy numbers

2001 ◽  
Vol 123 (1) ◽  
pp. 85-88 ◽  
Author(s):  
Joong Sung Kwon ◽  
Hong Tae Shim
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Lacunary Statistical Convergence

scholarly journals On real-valued measures of statistical type and their applications to statistical convergence

2009 ◽  
Vol 50 (1-2) ◽  
pp. 116-122 ◽  
Author(s):  
Lixin Cheng ◽  
Guochen Lin ◽  
Huihua Shi
Keyword(s):  
Statistical Convergence
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