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A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions

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0 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… read more here.

Keywords: statistical convergence; weighted statistical; korovkin type; type approximation ... See more keywords

Korovkin-type approximation in spaces of vector-valued and set-valued functions

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0 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… read more here.

Keywords: vector valued; set valued; spaces vector; korovkin type ... See more keywords

Some Korovkin-Type Approximation Theorems Associated with a Certain Deferred Weighted Statistical Riemann-Integrable Sequence of Functions

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0 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… read more here.

Keywords: deferred weighted; weighted statistical; korovkin type; riemann ... See more keywords

Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence

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1 Published in 2020 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-1912-14

Abstract: We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of a net of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a… read more here.

Keywords: convergence; relative uniform; korovkin type; abstract korovkin ... See more keywords

Korovkin-type theorems and their statistical versions in grand Lebesgue spaces

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1 Published in 2020 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-2003-21

Abstract: The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace G p −π; π of grand Lebesgue space is defined using shift operator. It is shown that the space of infinitely differentiable finite… read more here.

Keywords: lebesgue spaces; korovkin type; grand lebesgue; lebesgue ... See more keywords