A New Modulus of Smoothness for Uniform Approximation

Autor:	Eman Samir Bhaya, Bushra Khudhair Hussein
Rok vydání:	2018
Předmět:	Modulus of smoothness Mathematical analysis Minimax approximation algorithm Mathematics
Zdroj:	JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences. 26:8-15
ISSN:	2312-8135 1992-0652
DOI:	10.29196/jubpas.v26i9.1827
Popis:	The estimates of best approximation using classical modulus of smoothness is not uniform. Also we sometimes need to improve the degree of best approximation near the end points. Thus we need to improve this classical modulus of smoothness. Here we define a new modulus of smoothness to achieve uniform estimates of best approximation and an improvement of a degree of such version of best approximation. Our modulus of smoothness is for k-monotone functions. Estimates for using our modulus of smoothness are introduced. Applications for these estimates are also introduced
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b4755102153a593c751a765786f537e6 https://doi.org/10.29196/jubpas.v26i9.1827 Zobrazit plný text záznamu