A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
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DOI: 10.1002/mma.4636
Abstract: The subject of statistical convergence has attracted a remarkably large number of researchers due mainly to the fact that it is more general than the well-established theory of the ordinary (classical) convergence. In the year… read more here.
Keywords: statistical convergence; weighted statistical; korovkin type; type approximation ... See more keywords
On deferred-statistical convergence of uncertain fuzzy sequences
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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… read more here.
Keywords: theory; statistical convergence; convergence; convergence uncertain ... See more keywords
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
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DOI: 10.1186/s13660-017-1294-2
Abstract: The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus. The definition of Wijsman lacunary strong… read more here.
Keywords: statistical convergence; lacunary statistical; convergence sequences; sequences sets ... See more keywords
Improving data sampling with rapid statistical convergence in digital Fourier microscopy analysis.
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DOI: 10.1364/ao.537840
Abstract: Soft matter research often involves studying correlation functions such as the intermediate scattering function. Wave scattering experiments or digital Fourier microscopy are usually used to obtain this function, generating large amounts of data that must… read more here.
Keywords: analysis; fourier microscopy; digital fourier; convergence digital ... See more keywords
Statistical convergence of multiple sequences on a product time scale
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DOI: 10.1515/gmj-2018-0051
Abstract: Abstract In this study, we extend the concepts and fundamental results on statistical convergence from a single time scale to any product time scale. Various characterizations about these new notions are also obtained. read more here.
Keywords: time scale; statistical convergence; time; product time ... See more keywords
On deferred f-statistical convergence for double sequences
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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… read more here.
Keywords: statistical convergence; convergence double; double sequences; deferred statistical ... See more keywords
Statistical convergence of sequences of sets in hyperspaces
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DOI: 10.15672/hjms.2017.482
Abstract: The concept of statistical convergence in an arbitrary topological space is nothing new, it is actually a self-evident concept that comes through the structure of that space. In this paper, by considering the well known… read more here.
Keywords: sets hyperspaces; statistical convergence; convergence sequences; sequences sets ... See more keywords
Lacunary statistical convergence and strongly lacunary summable functions of order α
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DOI: 10.2298/fil1706573s
Abstract: The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order and lacunary statistical convergence of order of real-valued functions which are measurable (in the Lebesgue sense)… read more here.
Keywords: order; order lacunary; statistical convergence; lacunary statistical ... See more keywords
On generalized statistical convergence and boundedness of Riesz space-valued sequences
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DOI: 10.2298/fil1915989p
Abstract: We consider the notion of generalized density, namely, the natural density of weight 1 recently introduced in [4] and primarily study some sufficient and almost converse necessary conditions for the generalized statistically convergent sequence under… read more here.
Keywords: convergence boundedness; boundedness riesz; generalized statistically; statistical convergence ... See more keywords
A study on I-deferred strongly Cesáro summable and μ-deferred i-statistical convergence for complex uncertain sequences
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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… read more here.
Keywords: statistical convergence; deferred strongly; complex uncertain; strongly ces ... See more keywords
I2-deferred statistical convergence for sequences of sets
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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… read more here.
Keywords: sequences sets; convergence sequences; statistical convergence; deferred statistical ... See more keywords