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Published in 2022 at "International Journal of General Systems"
DOI: 10.1080/03081079.2022.2052062
Abstract: Uncertain theory which was initially introduced by Liu [2016. Unceratinty Theory. 5th ed. Berlin: Springer-Verlag] is significantly speared in various fields of engineering and scientific computing such as probability theory, statistics, fuzzy set theory, measure…
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Keywords:
theory;
statistical convergence;
convergence;
convergence uncertain ... See more keywords
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Published in 2024 at "Open Mathematics"
DOI: 10.1515/math-2023-0174
Abstract: Abstract In this article, we first put forward the concept of deferred f-double natural density for double sequences, where f is an unbounded modulus. Then, we combine f-density with deferred statistical convergence for double sequences…
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Keywords:
statistical convergence;
convergence double;
double sequences;
deferred statistical ... See more keywords
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Published in 2022 at "Filomat"
DOI: 10.2298/fil2220001k
Abstract: In this study, we introduce the five different types of I-deferred strongly Ces?ro summablity and ?-deferred I-statistical convergence (i.e., with respect to almost surely, uniformly almost surely, in measure, in distribution and in mean) of…
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Keywords:
statistical convergence;
deferred strongly;
complex uncertain;
strongly ces ... See more keywords
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Published in 2024 at "Filomat"
DOI: 10.2298/fil2403769c
Abstract: For a non-empty set X, an ideal I represents a family of subsets of X that is closed under taking finite unions and subsets of its elements. Considering X = N, in the present study,…
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Keywords:
point;
statistical limit;
deferred statistical;
real valued ... See more keywords
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Published in 2024 at "Filomat"
DOI: 10.2298/fil2403891g
Abstract: The main purpose of this study is presented the concepts of I2-deferred Ces?ro summability and I2-deferred statistical convergence in the Wijsman sense for double sequences of sets. Also, to investigate the relations between these concepts…
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Keywords:
sequences sets;
convergence sequences;
statistical convergence;
deferred statistical ... See more keywords
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Published in 2024 at "Filomat"
DOI: 10.2298/fil2405595k
Abstract: This paper introduces the concept of deferred statistical A-convergence, which combines the deferred density of subsets of natural numbers with an infinite regular matrix A=(amk). We explore the fundamental properties of deferred statistical A-convergent sequences…
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Keywords:
transformation real;
convergence transformation;
deferred statistical;
real valued ... See more keywords
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Published in 2025 at "Mathematics"
DOI: 10.3390/math13030463
Abstract: Studies on difference sequences was introduced in the 1980s, and since then, many mathematicians have studied this kind of sequences and obtained some generalized difference sequence spaces. In this paper, using the generalized difference operator,…
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Keywords:
generalized difference;
convergence generalized;
deferred statistical;
difference ... See more keywords