On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces
In this paper we estimate the order of the trigonometric diameters of the anisotropic Nikol’skii–Besov classes in the anisotropic Lorentz spaces. The order of the trigonometric diameter of the anisotropic Nikol’skii–Besov class B p r α τ ( T n ) is found in the metric of the anisotropic Lorentz spac...
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| Veröffentlicht in: | Analysis mathematica (Budapest) 2019-06, Vol.45 (2), p.237-247 |
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| creator | Bekmaganbetov, K. A. Toleugazy, Y. |
| description | In this paper we estimate the order of the trigonometric diameters of the anisotropic Nikol’skii–Besov classes in the anisotropic Lorentz spaces.
The order of the trigonometric diameter of the anisotropic Nikol’skii–Besov class
B
p
r
α
τ
(
T
n
)
is found in the metric of the anisotropic Lorentz spaces
L
q
θ
(
T
n
)
under the condition
1
<
p
= (
p
1
,...,
p
n
) <
2
<
q
= (
q
1
,...,
q
n
). |
| doi_str_mv | 10.1007/s10476-018-0707-x |
| format | Article |
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The order of the trigonometric diameter of the anisotropic Nikol’skii–Besov class
B
p
r
α
τ
(
T
n
)
is found in the metric of the anisotropic Lorentz spaces
L
q
θ
(
T
n
)
under the condition
1
<
p
= (
p
1
,...,
p
n
) <
2
<
q
= (
q
1
,...,
q
n
).</description><identifier>ISSN: 0133-3852</identifier><identifier>EISSN: 1588-273X</identifier><identifier>DOI: 10.1007/s10476-018-0707-x</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Anisotropy ; Mathematics ; Mathematics and Statistics</subject><ispartof>Analysis mathematica (Budapest), 2019-06, Vol.45 (2), p.237-247</ispartof><rights>Akadémiai Kiadó, Budapest 2018</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-ab5731b9e1d3d7be52f8cb6c68c0ae3c71fee36b0ffee8ab2809eec23cbe4f613</citedby><cites>FETCH-LOGICAL-c359t-ab5731b9e1d3d7be52f8cb6c68c0ae3c71fee36b0ffee8ab2809eec23cbe4f613</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10476-018-0707-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10476-018-0707-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Bekmaganbetov, K. A.</creatorcontrib><creatorcontrib>Toleugazy, Y.</creatorcontrib><title>On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces</title><title>Analysis mathematica (Budapest)</title><addtitle>Anal Math</addtitle><description>In this paper we estimate the order of the trigonometric diameters of the anisotropic Nikol’skii–Besov classes in the anisotropic Lorentz spaces.
The order of the trigonometric diameter of the anisotropic Nikol’skii–Besov class
B
p
r
α
τ
(
T
n
)
is found in the metric of the anisotropic Lorentz spaces
L
q
θ
(
T
n
)
under the condition
1
<
p
= (
p
1
,...,
p
n
) <
2
<
q
= (
q
1
,...,
q
n
).</description><subject>Analysis</subject><subject>Anisotropy</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0133-3852</issn><issn>1588-273X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kLtOwzAUhi0EEqXwAGyRmA2-NLEzlnKVCh0oEpuVuCfFvcTBTlFh6sAbMPF6fRJcglQWpmPr_N9_pA-hY0pOKSHizFPSEQkmVGIiiMDLHdSisZSYCf60i1qEco65jNk-OvB-QghJE8lb6GNQRvUzRAM3AhfZ4uczdGZsSzuH2hkdXZgsvLbbbmm8rZ2twu7eTO1svfryU2PWq89z8PY16s0y7yPTFN81JYH9y_Wtg7J-jx6qTIM_RHtFNvNw9Dvb6PHqcti7wf3B9W2v28eax2mNszwWnOYp0BEfiRxiVkidJzqRmmTAtaAFAE9yUoQps5xJkgJoxnUOnSKhvI1Omt7K2ZcF-FpN7MKV4aRijMWMBklpSNEmpZ313kGhKmfmmXtTlKiNbNXIVkG22shWy8CwhvEhW47BbZv_h74BPi6HaA</recordid><startdate>20190601</startdate><enddate>20190601</enddate><creator>Bekmaganbetov, K. A.</creator><creator>Toleugazy, Y.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190601</creationdate><title>On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces</title><author>Bekmaganbetov, K. A. ; Toleugazy, Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-ab5731b9e1d3d7be52f8cb6c68c0ae3c71fee36b0ffee8ab2809eec23cbe4f613</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Analysis</topic><topic>Anisotropy</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bekmaganbetov, K. A.</creatorcontrib><creatorcontrib>Toleugazy, Y.</creatorcontrib><collection>CrossRef</collection><jtitle>Analysis mathematica (Budapest)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bekmaganbetov, K. A.</au><au>Toleugazy, Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces</atitle><jtitle>Analysis mathematica (Budapest)</jtitle><stitle>Anal Math</stitle><date>2019-06-01</date><risdate>2019</risdate><volume>45</volume><issue>2</issue><spage>237</spage><epage>247</epage><pages>237-247</pages><issn>0133-3852</issn><eissn>1588-273X</eissn><abstract>In this paper we estimate the order of the trigonometric diameters of the anisotropic Nikol’skii–Besov classes in the anisotropic Lorentz spaces.
The order of the trigonometric diameter of the anisotropic Nikol’skii–Besov class
B
p
r
α
τ
(
T
n
)
is found in the metric of the anisotropic Lorentz spaces
L
q
θ
(
T
n
)
under the condition
1
<
p
= (
p
1
,...,
p
n
) <
2
<
q
= (
q
1
,...,
q
n
).</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s10476-018-0707-x</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Analysis mathematica (Budapest), 2019-06, Vol.45 (2), p.237-247 |
| issn | 0133-3852 1588-273X |
| language | eng |
| recordid | cdi_proquest_journals_2225211339 |
| source | SpringerNature Journals |
| subjects | Analysis Anisotropy Mathematics Mathematics and Statistics |
| title | On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces |
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