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Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600508
Abstract: The paper deals with approximation results with respect to the I†â€ variation by means of a family of discrete operators for I†â€ absolutely continuous functions. In particular, for the considered family of operators and for…
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Keywords:
variation;
approximation;
sampling type;
operators sampling ... See more keywords
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Published in 2017 at "Mathematical Methods in The Applied Sciences"
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…
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Keywords:
statistical convergence;
weighted statistical;
korovkin type;
type approximation ... See more keywords
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Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01712-w
Abstract: In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered…
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Keywords:
type approximation;
approximation operators;
landau type;
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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1463522
Abstract: Abstract We consider some Korovkin-type approximation results for sequences of linear continuous operators in spaces of vector-valued and set-valued continuous functions without assuming the existence of the limit operator. Even in spaces of real continuous…
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Keywords:
vector valued;
set valued;
spaces vector;
korovkin type ... See more keywords
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Published in 2018 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2018.2216
Abstract: The approximation theory by linear positive operators investigates how the functions can be best approximated by simpler functions. The most famous basic result for convergence of linear positive operators is due to Weierstrass who introduced…
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Keywords:
approximation;
generalized bernstein;
approximation generalized;
type ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030128
Abstract: Here, in this article, we introduce and systematically investigate the ideas of deferred weighted statistical Riemann integrability and statistical deferred weighted Riemann summability for sequences of functions. We begin by proving an inclusion theorem that…
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Keywords:
deferred weighted;
weighted statistical;
korovkin type;
riemann ... See more keywords