Paltanea’s operators: old and new results

Authors

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.2.1

Keywords:

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

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.

Author Biographies

U. Abel, Fachbereich MND, Technische Hochschule Mittelhessen, Germany

Wilhelm-Leuschner-Straße 13, 61169 Friedberg 

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

Str. Fantanele, 57, 400320

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Published

2023-12-18

Issue

Vol. 3(65) No. 2 (2023)

Section

MATHEMATICS