Some results on generalizations of statistical boundedness

2020 ◽  
Author(s):  
Fatih Temizsu ◽  
Mikail Et
Keyword(s):  
Statistical Boundedness

scholarly journals Density by Moduli and Statistical Boundedness

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Vinod K. Bhardwaj ◽  
Shweta Dhawan ◽  
Sandeep Gupta
Keyword(s):  
Statistical Convergence ◽  
Structure Theorem ◽  
Decomposition Theorem ◽  
Vector Valued ◽  
Statistical Boundedness ◽  
Bounded Sequences

We have generalized the notion of statistical boundedness by introducing the concept off-statistical boundedness for scalar sequences wherefis an unbounded modulus. It is shown that bounded sequences are precisely those sequences which aref-statistically bounded for every unbounded modulusf. A decomposition theorem forf-statistical convergence for vector valued sequences and a structure theorem forf-statistical boundedness have also been established.

scholarly journals Lacunary statistical boundedness on time scales

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Bayram Sözbir ◽  
Selma Altundağ
Keyword(s):  
Time Scales ◽  
Time Scale ◽  
Arbitrary Time ◽  
Statistical Boundedness

AbstractIn this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacunary statistical boundedness on time scales.

On (λ,f)-statistical boundedness of order α

2021 ◽  
pp. 1-14
Author(s):  
Fatih Temizsu ◽  
Mikail Et ◽  
Muhammed Çinar ◽  
Hacer Şengül Kandemir
Keyword(s):  
Statistical Boundedness

scholarly journals Weighted lacunary statistical convergence of double sequences in locally solid Riesz spaces

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 621-629
Author(s):  
Şükran Konca
Keyword(s):  
Statistical Convergence ◽  
Riesz Space ◽  
Double Sequences ◽  
Riesz Spaces ◽  
Lacunary Statistical Convergence ◽  
Inclusion Relations ◽  
Locally Solid Riesz Space ◽  
Statistical Boundedness ◽  
Weighted Lacunary Statistical Convergence

Recently, the notion of weighted lacunary statistical convergence is studied in a locally solid Riesz space for single sequences by Ba?ar?r and Konca [7]. In this work, we define and study weighted lacunary statistical ?-convergence, weighted lacunary statistical ?-boundedness of double sequences in locally solid Riesz spaces. We also prove some topological results related to these concepts in the framework of locally solid Riesz spaces and give some inclusion relations.

Δλ-Statistical boundedness on time scales

2019 ◽  
pp. 1-9 ◽  
Author(s):  
Yavuz Altin ◽  
Büşra Nur Er ◽  
Emrah Yilmaz
Keyword(s):  
Time Scales ◽  
Statistical Boundedness
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