Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities

UDC 517.51, 517.16 Two Levinson-type inequalities are extended to the majorization type; as a special case, two Ky-Fan-type inequalities are also extended to the majorization type.

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Datum:2026
1. Verfasser: Miao, JinYan
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9206
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal
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author Miao, JinYan
Miao, JinYan
author_facet Miao, JinYan
Miao, JinYan
author_institution_txt_mv [ { "author": "JinYan Miao", "institution": "ISILC, Victoria University, Melbourne, Australia" } ]
author_sort Miao, JinYan
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datestamp_date 2026-05-30T12:44:30Z
description UDC 517.51, 517.16 Two Levinson-type inequalities are extended to the majorization type; as a special case, two Ky-Fan-type inequalities are also extended to the majorization type.
doi_str_mv 10.3842/umzh.v78i5-6.9206
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spelling umjimathkievua-article-92062026-05-30T12:44:30Z Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities Miao, JinYan Miao, JinYan 3-convex function majorization Ky Fan inequality Levinson inequality 3-convex function majorization Levinson inequality Ky Fan inequality UDC 517.51, 517.16 Two Levinson-type inequalities are extended to the majorization type; as a special case, two Ky-Fan-type inequalities are also extended to the majorization type. УДК 517.51, 517.16 Мажоризація для нерівностей типу Левінсона та узагальнення для нерівностей типу Кай Фана Дві нерівності типу Левінсона узагальнено до нерівностей типу мажоризації; як окремий випадок дві нерівності типу Кай Фана також узагальнено до нерівностей типу мажоризації. Institute of Mathematics, NAS of Ukraine 2026-05-29 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9206 10.3842/umzh.v78i5-6.9206 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 5-6 (2026); 374 Український математичний журнал; Том 78 № 5-6 (2026); 374 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9206/10660 Copyright (c) 2026 JinYan Miao
spellingShingle Miao, JinYan
Miao, JinYan
Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_alt Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_full Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_fullStr Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_full_unstemmed Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_short Majorization for Levinson-type inequalities and generalization for Ky-Fan-type inequalities
title_sort majorization for levinson-type inequalities and generalization for ky-fan-type inequalities
topic_facet 3-convex function
majorization
Ky Fan inequality
Levinson inequality
3-convex function
majorization
Levinson inequality
Ky Fan inequality
url https://umj.imath.kiev.ua/index.php/umj/article/view/9206
work_keys_str_mv AT miaojinyan majorizationforlevinsontypeinequalitiesandgeneralizationforkyfantypeinequalities
AT miaojinyan majorizationforlevinsontypeinequalitiesandgeneralizationforkyfantypeinequalities