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;
On characterizations of a pair of covering-based approximation operators
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DOI: 10.1007/s00500-018-3321-8
Abstract: Granular computing is an emerging computing paradigm of information processing. Rough set theory is a kind of models of granular computing and is used to deal with the vagueness and granularity in information systems. Covering-based… read more here.
Keywords: approximation operators; covering upper; rough set; upper approximation ... See more keywords
Some Probabilistic Generalizations of the Cheney-Sharma and Bernstein Approximation Operators
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DOI: 10.3390/axioms11100537
Abstract: The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined. The… read more here.
Keywords: bernstein approximation; cheney sharma; approximation operators; sharma bernstein ... See more keywords
Approximation by Operators for the Sheffer-Appell Polynomials
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DOI: 10.3390/sym14122672
Abstract: In this paper, we introduce a generalization of the Kantrovich–Stancu-type Szasz operator asymmetry with hybrid families of special polynomials. Additionally, we construct certain positive linear operators together with the Sheffer–Appell polynomial sequences and then obtain… read more here.
Keywords: appell polynomials; operators sheffer; sheffer appell; approximation operators ... See more keywords