Author:
Alghamdi Mohammed A,Mursaleen Momammad,Alotaibi Abdullah
Abstract
Abstract
In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability
(
H
,
1
)
introduced by Móricz (Analysis 24:127-145, 2004) and
[
H
,
1
]
q
-summability. We also give subsequence characterization of statistical summability
(
H
,
1
)
.
MSC:40A05, 40A30.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
7 articles.
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2. Some Tauberian conditions on logarithmic density;Advances in Difference Equations;2019-10-07
3. Rho statistical convergence of order beta;THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019);2019
4. Tauberian Conditions of Slowly Decreasing Type for the Logarithmic Power Series Method;Proceedings of the National Academy of Sciences, India Section A: Physical Sciences;2018-09-26
5. Sliding window convergence and lacunary statistical convergence for measurable functions via modulus function;Boletim da Sociedade Paranaense de Matemática;2018-01-01