Quantitative estimates for nonlinear sampling Kantorovich operators
In this paper, we establish quantitative estimates for nonlinear sampling Kantorovich operators in terms of the modulus of continuity in the setting of Orlicz spaces. This general frame allows us to directly deduce some quantitative estimates of approximation in $L^{p}$-spaces, $1\leq p
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Cetin, Nursel Costarelli, Danilo Vinti, Gianluca |
| description | In this paper, we establish quantitative estimates for nonlinear sampling
Kantorovich operators in terms of the modulus of continuity in the setting of
Orlicz spaces. This general frame allows us to directly deduce some
quantitative estimates of approximation in $L^{p}$-spaces, $1\leq p |
| doi_str_mv | 10.48550/arxiv.2102.08651 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2102_08651</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2102_08651</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-8a53fcf2c236c0157bbce6d16882162f79bc2596e1cbbb1c2e1654e8dc6d2b673</originalsourceid><addsrcrecordid>eNotj81OwzAQhH3hgAoPwAm_QILXqR33iCL-RKUKqfdo7axbS20c2SaCtycUTjMjjUbzMXYHol4bpcQDpq8w1xKErIXRCq5Z9_GJYwkFS5iJUy7hjIUy9zHxMY6nMBImnvE8LfbA35dyTHEO7sjjRAmXlG_YlcdTptt_XbH989O-e622u5e37nFboW6hMqga77x0stFOgGqtdaQH0MZI0NK3G-uk2mgCZ60FJwm0WpMZnB6k1W2zYvd_sxeKfkrL1fTd_9L0F5rmB_cTRnY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Quantitative estimates for nonlinear sampling Kantorovich operators</title><source>arXiv.org</source><creator>Cetin, Nursel ; Costarelli, Danilo ; Vinti, Gianluca</creator><creatorcontrib>Cetin, Nursel ; Costarelli, Danilo ; Vinti, Gianluca</creatorcontrib><description>In this paper, we establish quantitative estimates for nonlinear sampling
Kantorovich operators in terms of the modulus of continuity in the setting of
Orlicz spaces. This general frame allows us to directly deduce some
quantitative estimates of approximation in $L^{p}$-spaces, $1\leq p<\infty $,
and in other well-known instances of Orlicz spaces, such as the Zygmung and the
exponential spaces. Further, the qualitative order of approximation has been
obtained assuming $f$ in suitable Lipschitz classes. The above estimates
achieved in the general setting of Orlicz spaces, have been also improved in
the $L^p$-case, using a direct approach suitable to this context. At the end,
we consider the particular cases of the nonlinear sampling Kantorovich
operators constructed by using some special kernels.</description><identifier>DOI: 10.48550/arxiv.2102.08651</identifier><language>eng</language><subject>Mathematics - Functional Analysis</subject><creationdate>2021-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2102.08651$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2102.08651$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Cetin, Nursel</creatorcontrib><creatorcontrib>Costarelli, Danilo</creatorcontrib><creatorcontrib>Vinti, Gianluca</creatorcontrib><title>Quantitative estimates for nonlinear sampling Kantorovich operators</title><description>In this paper, we establish quantitative estimates for nonlinear sampling
Kantorovich operators in terms of the modulus of continuity in the setting of
Orlicz spaces. This general frame allows us to directly deduce some
quantitative estimates of approximation in $L^{p}$-spaces, $1\leq p<\infty $,
and in other well-known instances of Orlicz spaces, such as the Zygmung and the
exponential spaces. Further, the qualitative order of approximation has been
obtained assuming $f$ in suitable Lipschitz classes. The above estimates
achieved in the general setting of Orlicz spaces, have been also improved in
the $L^p$-case, using a direct approach suitable to this context. At the end,
we consider the particular cases of the nonlinear sampling Kantorovich
operators constructed by using some special kernels.</description><subject>Mathematics - Functional Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81OwzAQhH3hgAoPwAm_QILXqR33iCL-RKUKqfdo7axbS20c2SaCtycUTjMjjUbzMXYHol4bpcQDpq8w1xKErIXRCq5Z9_GJYwkFS5iJUy7hjIUy9zHxMY6nMBImnvE8LfbA35dyTHEO7sjjRAmXlG_YlcdTptt_XbH989O-e622u5e37nFboW6hMqga77x0stFOgGqtdaQH0MZI0NK3G-uk2mgCZ60FJwm0WpMZnB6k1W2zYvd_sxeKfkrL1fTd_9L0F5rmB_cTRnY</recordid><startdate>20210217</startdate><enddate>20210217</enddate><creator>Cetin, Nursel</creator><creator>Costarelli, Danilo</creator><creator>Vinti, Gianluca</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210217</creationdate><title>Quantitative estimates for nonlinear sampling Kantorovich operators</title><author>Cetin, Nursel ; Costarelli, Danilo ; Vinti, Gianluca</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-8a53fcf2c236c0157bbce6d16882162f79bc2596e1cbbb1c2e1654e8dc6d2b673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Functional Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Cetin, Nursel</creatorcontrib><creatorcontrib>Costarelli, Danilo</creatorcontrib><creatorcontrib>Vinti, Gianluca</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Cetin, Nursel</au><au>Costarelli, Danilo</au><au>Vinti, Gianluca</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantitative estimates for nonlinear sampling Kantorovich operators</atitle><date>2021-02-17</date><risdate>2021</risdate><abstract>In this paper, we establish quantitative estimates for nonlinear sampling
Kantorovich operators in terms of the modulus of continuity in the setting of
Orlicz spaces. This general frame allows us to directly deduce some
quantitative estimates of approximation in $L^{p}$-spaces, $1\leq p<\infty $,
and in other well-known instances of Orlicz spaces, such as the Zygmung and the
exponential spaces. Further, the qualitative order of approximation has been
obtained assuming $f$ in suitable Lipschitz classes. The above estimates
achieved in the general setting of Orlicz spaces, have been also improved in
the $L^p$-case, using a direct approach suitable to this context. At the end,
we consider the particular cases of the nonlinear sampling Kantorovich
operators constructed by using some special kernels.</abstract><doi>10.48550/arxiv.2102.08651</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2102.08651 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2102_08651 |
| source | arXiv.org |
| subjects | Mathematics - Functional Analysis |
| title | Quantitative estimates for nonlinear sampling Kantorovich operators |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-13T06%3A17%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Quantitative%20estimates%20for%20nonlinear%20sampling%20Kantorovich%20operators&rft.au=Cetin,%20Nursel&rft.date=2021-02-17&rft_id=info:doi/10.48550/arxiv.2102.08651&rft_dat=%3Carxiv_GOX%3E2102_08651%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |