Discrete operators of sampling type and approximation in φ-variation
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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… read more here.
Keywords: variation; approximation; sampling type; operators sampling ... See more keywords
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 Landau-Type Approximation Operators
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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… read more here.
Keywords: type approximation; approximation operators; landau type;
Korovkin-type approximation in spaces of vector-valued and set-valued functions
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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
Blending type approximation by generalized Bernstein-Durrmeyer type operators
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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… read more here.
Keywords: approximation; generalized bernstein; approximation generalized; 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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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