Transformation of the second order modulus by positive linear operators

We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.

Bibliographic Details
Main Authors: Pǎltǎnea Radu, Stan Gabriel
Format: Article
Language:English
Published: Sciendo 2015-01-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.1515/auom-2015-0016
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author Pǎltǎnea Radu
Stan Gabriel
author_facet Pǎltǎnea Radu
Stan Gabriel
author_sort Pǎltǎnea Radu
collection DOAJ
description We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
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spelling doaj.art-71ccb86bfe03465282ee80d228225ec52022-12-22T02:40:50ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352015-01-0123123724610.1515/auom-2015-0016Transformation of the second order modulus by positive linear operatorsPǎltǎnea Radu0Stan Gabriel1Transilvania University of Braşov, Department of Mathematics, RO-500036 Braşov, Romania.Department of Mathematics, Transilvania University of Braşov, RO-500036 Braşov, Romania.We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.https://doi.org/10.1515/auom-2015-0016global smoothness preservationsecond order modulus of continuitymirakjan-favard-szász operatorsbaskakov operators41a3641a17
spellingShingle Pǎltǎnea Radu
Stan Gabriel
Transformation of the second order modulus by positive linear operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
global smoothness preservation
second order modulus of continuity
mirakjan-favard-szász operators
baskakov operators
41a36
41a17
title Transformation of the second order modulus by positive linear operators
title_full Transformation of the second order modulus by positive linear operators
title_fullStr Transformation of the second order modulus by positive linear operators
title_full_unstemmed Transformation of the second order modulus by positive linear operators
title_short Transformation of the second order modulus by positive linear operators
title_sort transformation of the second order modulus by positive linear operators
topic global smoothness preservation
second order modulus of continuity
mirakjan-favard-szász operators
baskakov operators
41a36
41a17
url https://doi.org/10.1515/auom-2015-0016
work_keys_str_mv AT paltanearadu transformationofthesecondordermodulusbypositivelinearoperators
AT stangabriel transformationofthesecondordermodulusbypositivelinearoperators