Abstract

This note concerns the study of an approximation linear positive process introduced by R. Paltanea in 2008. Considering the impact of this class of operators that depends on two parameters, in a distinct section we present a brief radiograph of the main properties highlighted over time in various papers. Our contribution materializes in the definition and study of the approximation properties of the King variant of these operators.

Authors

U. Abel
Germany

O. Agratini
Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania

Keywords

linear approximation process, Durrmeyer type operators, modulus of smoothness, King type operator.

Paper coordinates

U. Abel, O. Agratini, Păltănea’s operators: old and new results, Bulletin of the Transilvania University of Brașov, Serie III: Mathematics and Computer Science,  3(65) (2023) no. 2, pp. 1.12, https://doi.org/10.31926/but.mif.2023.3.65.2.1

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About this paper

Journal

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science

Publisher Name

Transilvania University Press, Brasov, Romania.

Print ISSN

2810-2029

Online ISSN

2971-9763

google scholar link

??

2023

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