On Pointwise Lacunary Statistical Convergence of Order α of Sequences of Function

2015 ◽  
Vol 85 (2) ◽  
pp. 253-258 ◽  
Author(s):  
Mikail Et ◽  
Hacer Şengül
Keyword(s):  
Statistical Convergence ◽  
Lacunary Statistical Convergence ◽  
Sequences Of Function

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 Lacunary statistical convergence of double sequences of sets

2015 ◽  
Vol 20 (7) ◽  
pp. 2883-2888 ◽  
Author(s):  
Fatih Nuray ◽  
Uğur Ulusu ◽  
Erdinç Dündar
Keyword(s):  
Statistical Convergence ◽  
Double Sequences ◽  
Lacunary Statistical Convergence

scholarly journals Sliding window convergence and lacunary statistical convergence for measurable functions via modulus function

2018 ◽  
Vol 36 (1) ◽  
pp. 161 ◽  
Author(s):  
Mohammad Mursaleen ◽  
Kuldip Raj
Keyword(s):  
Statistical Convergence ◽  
Sliding Window ◽  
Modulus Function ◽  
Convergence Criterion ◽  
Sequential Methods ◽  
Measurable Functions ◽  
Lacunary Statistical Convergence

In this paper we study the concepts of sliding window convergence for real valued measurable functions dened on [0,1) via modulus function. We also establish some inclusions and consistency theorems for sequential methods along with examples. Finally, we give a Cauchy convergence criterion.

scholarly journals Some Cesaro-type summability spaces of order α and lacunary statistical convergence of order α

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1593-1602 ◽  
Author(s):  
Mikail Et ◽  
Hacer Şengül
Keyword(s):  
Statistical Convergence ◽  
Real Numbers ◽  
Lacunary Statistical Convergence

In the paper [32], we have defined the concepts of lacunary statistical convergence of order ? and strong N?(p)-summability of order ? for sequences of complex (or real) numbers. In this paper we continue to examine others relations between lacunary statistical convergence of order ? and strong N?(p)-summability of order ?.

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