On the Lawson–Lim means and Karcher mean for positive invertible operators

Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.

Gespeichert in:

Autor*in:	Liao, Wenshi [verfasserIn] Long, Pujun [verfasserIn] Ren, Zemin [verfasserIn] Wu, Junliang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Karcher mean Lawson–Lim geometric mean Ando–Li–Mathias geometric mean Kantorovich constant

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2018(2018), 1 vom: 05. Sept.
Übergeordnetes Werk:	volume:2018 ; year:2018 ; number:1 ; day:05 ; month:09

Links:	Volltext

DOI / URN:	10.1186/s13660-018-1817-5

Katalog-ID:	SPR032595573

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spelling	10.1186/s13660-018-1817-5 doi (DE-627)SPR032595573 (SPR)s13660-018-1817-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Liao, Wenshi verfasserin aut On the Lawson–Lim means and Karcher mean for positive invertible operators 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers. Karcher mean (dpeaa)DE-He213 Lawson–Lim geometric mean (dpeaa)DE-He213 Ando–Li–Mathias geometric mean (dpeaa)DE-He213 Kantorovich constant (dpeaa)DE-He213 Long, Pujun verfasserin aut Ren, Zemin verfasserin aut Wu, Junliang verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2018(2018), 1 vom: 05. Sept. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2018 year:2018 number:1 day:05 month:09 https://dx.doi.org/10.1186/s13660-018-1817-5 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 05 09
allfields_unstemmed	10.1186/s13660-018-1817-5 doi (DE-627)SPR032595573 (SPR)s13660-018-1817-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Liao, Wenshi verfasserin aut On the Lawson–Lim means and Karcher mean for positive invertible operators 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers. Karcher mean (dpeaa)DE-He213 Lawson–Lim geometric mean (dpeaa)DE-He213 Ando–Li–Mathias geometric mean (dpeaa)DE-He213 Kantorovich constant (dpeaa)DE-He213 Long, Pujun verfasserin aut Ren, Zemin verfasserin aut Wu, Junliang verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2018(2018), 1 vom: 05. Sept. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2018 year:2018 number:1 day:05 month:09 https://dx.doi.org/10.1186/s13660-018-1817-5 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 05 09
allfieldsGer	10.1186/s13660-018-1817-5 doi (DE-627)SPR032595573 (SPR)s13660-018-1817-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Liao, Wenshi verfasserin aut On the Lawson–Lim means and Karcher mean for positive invertible operators 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers. Karcher mean (dpeaa)DE-He213 Lawson–Lim geometric mean (dpeaa)DE-He213 Ando–Li–Mathias geometric mean (dpeaa)DE-He213 Kantorovich constant (dpeaa)DE-He213 Long, Pujun verfasserin aut Ren, Zemin verfasserin aut Wu, Junliang verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2018(2018), 1 vom: 05. Sept. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2018 year:2018 number:1 day:05 month:09 https://dx.doi.org/10.1186/s13660-018-1817-5 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 05 09
allfieldsSound	10.1186/s13660-018-1817-5 doi (DE-627)SPR032595573 (SPR)s13660-018-1817-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Liao, Wenshi verfasserin aut On the Lawson–Lim means and Karcher mean for positive invertible operators 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers. Karcher mean (dpeaa)DE-He213 Lawson–Lim geometric mean (dpeaa)DE-He213 Ando–Li–Mathias geometric mean (dpeaa)DE-He213 Kantorovich constant (dpeaa)DE-He213 Long, Pujun verfasserin aut Ren, Zemin verfasserin aut Wu, Junliang verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2018(2018), 1 vom: 05. Sept. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2018 year:2018 number:1 day:05 month:09 https://dx.doi.org/10.1186/s13660-018-1817-5 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 05 09
language	English
source	Enthalten in Journal of inequalities and applications 2018(2018), 1 vom: 05. Sept. volume:2018 year:2018 number:1 day:05 month:09
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author	Liao, Wenshi
spellingShingle	Liao, Wenshi ddc 510 bkl 31.49 misc Karcher mean misc Lawson–Lim geometric mean misc Ando–Li–Mathias geometric mean misc Kantorovich constant On the Lawson–Lim means and Karcher mean for positive invertible operators
authorStr	Liao, Wenshi
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topic_title	510 ASE 31.49 bkl On the Lawson–Lim means and Karcher mean for positive invertible operators Karcher mean (dpeaa)DE-He213 Lawson–Lim geometric mean (dpeaa)DE-He213 Ando–Li–Mathias geometric mean (dpeaa)DE-He213 Kantorovich constant (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Karcher mean misc Lawson–Lim geometric mean misc Ando–Li–Mathias geometric mean misc Kantorovich constant
topic_unstemmed	ddc 510 bkl 31.49 misc Karcher mean misc Lawson–Lim geometric mean misc Ando–Li–Mathias geometric mean misc Kantorovich constant
topic_browse	ddc 510 bkl 31.49 misc Karcher mean misc Lawson–Lim geometric mean misc Ando–Li–Mathias geometric mean misc Kantorovich constant
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	On the Lawson–Lim means and Karcher mean for positive invertible operators
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title_full	On the Lawson–Lim means and Karcher mean for positive invertible operators
author_sort	Liao, Wenshi
journal	Journal of inequalities and applications
journalStr	Journal of inequalities and applications
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author_browse	Liao, Wenshi Long, Pujun Ren, Zemin Wu, Junliang
container_volume	2018
class	510 ASE 31.49 bkl
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author-letter	Liao, Wenshi
doi_str_mv	10.1186/s13660-018-1817-5
dewey-full	510
author2-role	verfasserin
title_sort	on the lawson–lim means and karcher mean for positive invertible operators
title_auth	On the Lawson–Lim means and Karcher mean for positive invertible operators
abstract	Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.
abstractGer	Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.
abstract_unstemmed	Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.
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title_short	On the Lawson–Lim means and Karcher mean for positive invertible operators
url	https://dx.doi.org/10.1186/s13660-018-1817-5
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author2	Long, Pujun Ren, Zemin Wu, Junliang
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doi_str	10.1186/s13660-018-1817-5
up_date	2024-07-03T13:44:13.831Z
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