On a Chlodovsky variant of a multivariate beta operator

Autor:	Yalcin Tuncer, Gülen Başcanbaz Tunca
Rok vydání:	2011
Předmět:	Discrete mathematics Multivariate statistics Class (set theory) Computational Mathematics Operator (computer programming) Applied Mathematics State (functional analysis) Function (mathematics) Lipschitz continuity Constant (mathematics) Modulus of continuity Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 235(16):4816-4824
ISSN:	0377-0427
DOI:	10.1016/j.cam.2010.10.049
Popis:	In this work, we state a Chlodovsky variant of a multivariate beta operator to be called hereafter the multivariate beta-Chlodovsky operator. We show that the multivariate beta-Chlodovsky operator can preserve properties of a general function of modulus of continuity and also the Lipschitz constant of a Lipschitz continuous function. Furthermore we set an H"@w(@D) class by the function of modulus of continuity @w and give some results for functions belonging to H"@w(@D).
Databáze:	OpenAIRE
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