APPROXIMATION BY POLYNOMIAL POSSIBILISTIC INTEGRAL OPERATORS


Sorin G. Gal

Abstract: In this paper we obtain quantitative estimates in approximation by the so-called polynomial possibilistic operators of Durrmeyer type and of Kantorovich type, whose expressions are obtained from their classical correspondents by replacing the usual integral with the possibilistic integral.
MSC: 41A36, 41A25, 28E10, 28A25.
keywords: Theory of possibility, nonlinear possibilistic integral, maxproduct (possibilistic) operators, possibilistic Durrmeyer polynomial operators, possibilistic Kantorovich polynomial operators.

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DOI   10.56082/annalsarscimath.2020.1-2.132

† galso@uoradea.ro Department of Mathematics and Computer Science, University of Oradea, Str. Universitatii 1, 410087, Oradea, Romania and Academy of Romanian Scientists, Splaiul Independentei nr. 54, 050094, Bucharest, Romania


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 12 no 1-2, 2020