| dc.contributor.author | Kumar, V | |
| dc.contributor.author | Ruzhansky, M | |
| dc.date.accessioned | 2021-01-15T11:49:14Z | |
| dc.date.available | 2021-01-15T11:49:14Z | |
| dc.date.issued | 2021-01 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/69770 | |
| dc.description.abstract | In this paper we study approximation theorems for $L^2$-space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using spherical mean operator on Damek-Ricci spaces. We also prove Nikolskii-Stechkin inequality. To prove these inequalities we use functions of bounded spectrum as a tool of approximation. Finally, as an application, we prove equivalence of the $K$-functional and modulus of smoothness for Damek-Ricci spaces. | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | https://doi.org/10.1016/j.jat.2020.105537 | |
| dc.subject | math.CA | en_US |
| dc.subject | math.CA | en_US |
| dc.subject | Primary 41A17, 22E30 | en_US |
| dc.title | A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © 2021 Elsevier Inc. | |
| pubs.author-url | http://arxiv.org/abs/2005.01413v1 | en_US |
| pubs.notes | Not known | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
