Results 21 to 30 of about 34,139,219 (94)

Inclusion theorems on general convergence and statistical convergence of (L, 1, 1) - summability using generalized Tauberian conditions

open access: yes, 2017
[[abstract]]Statistical convergence has attracted the attention of researchers due to the fact that it is more general than classical convergence. Recently Móricz [Analysis Mathematica, 40(3) (2014), 231-242] has established a result on statistical ...
Bidu Bhusan Jena   +2 more
core  

RIESZ SUMMABILITY AND WEIGHTED STATISTICAL CONVERGENCE OF ORDER ? FOR SEQUENCES OF SETS [PDF]

open access: yes
In this paper, we introduce new summability methods for sequences of sets named Riesz summability of order alpha and weighted statistical convergence of order alpha, where alpha is an element of (0, 1].
Gulle, E., Ulusu, U., Dundar, E.
core   +1 more source

f-LACUNARY STATISTICAL CONVERGENCE AND STRONG f-LACUNARY SUMMABILITY OF ORDER α OF DOUBLE SEQUENCES [PDF]

open access: yes, 2020
The main object of this article is to introduce the concepts of f-lacunary statistical convergence of order alpha and strong f-lacunary summability of order alpha of double sequences and give some inclusion relations between these ...
Altın, Yavuz   +5 more
core   +1 more source

Lacunary statistical and sliding window convergence for measurable functions [PDF]

open access: yes, 2015
A class of summability methods, called sliding window methods, for measurable real valued functions defined on [0, ?) is introduced. These methods are based on the methods of statistical convergence and lacunary statistical summability for sequences ...
Savaş, Ekrem, Connor, J.
core   +1 more source

WEIGHTED STATISTICAL CONVERGENCE

open access: yes, 2009
In this paper, the notion of ((N) over bar, p(n))- summability to generalize the concept of statistical convergence is used. We call this new method weighted statistically convergence. We also establish its relationship with statistical convergence, (C,1)
Karakaya, Vatan, Chishti, T.A
core  

Korovkin Type Theorem for Modified Bernstein Operators via A-Statistical Convergence and Power Summability Method [PDF]

open access: yes
In this study, we investigate the approximation properties of modified Bernstein operators through the lens of A-statistical convergence and power summability methods.
İlkhan Kara, Merve, Değirmenci, Tuğba
core   +1 more source

? - statistical convergence in fuzzy normed linear spaces

open access: yes, 2018
In this paper, we have introduced lambda - statistical convergence and condition of being lambda - statistical Cauchy of real number sequences in fuzzy normed linear spaces. At the same time, in fuzzy normed spaces, we have introduced the concept of (V ,
Cinar, Muhammed, Turkmen, Muhammed Recai
core   +2 more sources

On I-Statistical And I-Lacunary Statistical Convergence Of Order Alpha [PDF]

open access: yes, 2014
In this paper, following a very recent and new approach, we further generalize recently introduced summability methods, namely, I-statistical convergence and I-lacunary statistical convergence (which extend the important summability methods, statistical ...
Savaş, Ekrem, Das, P.
core  

Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]

open access: yes, 2010
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David, Jan-David Hardtke
core   +1 more source

Λ²-statistical convergence and its application to Korovkin second theorem

open access: yes, 2019
In this paper, we use the notion of strong (N, λ²)−summability to generalize the concept of statistical convergence. We call this new method a λ²−statistical convergence and denote by S λ₂ the set of sequences which are λ²−statistically convergent.
LOKU, Valdete, BRAHA , Naim L.
core   +1 more source

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