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
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
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
On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems
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DOI: 10.2989/16073606.2017.1420705
Abstract: Abstract Prior to investigating on sequence spaces and their convergence, we study the notion of statistical convergence of difference sequences of fractional order α ∈ ℝ. As generalizations of previous works, this study includes several… read more here.
Keywords: order; statistical convergence; convergence difference; difference sequences ... See more keywords
Quasi-Density of Sets, Quasi-Statistical Convergence and the Matrix Summability Method
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DOI: 10.3390/axioms11030088
Abstract: In this paper, we define the quasi-density of subsets of the set of natural numbers and show several of the properties of this density. The quasi-density dp(A) of the set A⊆N is dependent on the… read more here.
Keywords: density; matrix summability; summability method; statistical convergence ... See more keywords
On the Statistical Convergence of Order α in Paranormed Space
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DOI: 10.3390/sym10100483
Abstract: The aim of the present work is to introduce notions of statistical convergence, strongly p-Cesàro summability and the statistically Cauchy sequence of order α in paranormed spaces. Some certain topological properties of these new concepts… read more here.
Keywords: order paranormed; paranormed space; statistical convergence; convergence order ... See more keywords