Rchr
J-GLOBAL ID:200901040862957385
Update date: Mar. 20, 2024
FURUICHI Shigeru
フルイチ シゲル | FURUICHI Shigeru
Affiliation and department:
Job title:
Professor
Research field (3):
Basic mathematics
, Information theory
, Basic mathematics
Research keywords (6):
Entropy
, Information theory
, Inequality
, Matrix analysis
, Operator theory
, Convex analysis
Research theme for competitive and other funds (17):
- 2021 - 2026 Analytical study of inequalities in information theory and operator theory
- 2020 - 2022 Analytical and fundamental study on entropy, graph and inequalities
- 2016 - 2021 Fundamental study on entropy and inequality in information science
- 2018 - 2019 作用素平均と相対作用素エントロピーに関する基礎研究とその応用
- 2014 - 2018 Research on Inequalities related to several kinds of entropies in classical or quantum system
- 2012 - 2016 量子エントロピーの基礎数理とその情報科学への応用
- 2012 - 2014 確率的エントロピーの基礎数理とその応用
- 2011 - 2013 Research on inequalities related to several entropies in classical or quantum system
- 2008 - 2012 量子情報科学における エントロピー及び情報量に関する基礎研究
- 2012 - 2012 函数解析学による一般化エントロピーの新展開
- 2011 - 2011 International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
- 2007 - 2010 一般化エントロピーの数理による,ベキ分布にしたがうデータの情報生成構造の解明
- 2008 - 2010 Research on inequalities related to classical or quantum entropy
- 2005 - 2008 古典系及び量子系における サリスエントロピーを基礎とした非加法的情報理論の構築
- 2002 - 2006 量子テレポーテーションを含む量子チャネルの分類と量子ゲートの定式化に関する研究
- 2002 - 2005 量子タイプ理論の 構成とその量子ユニバーサル符号化定理への応用
- 1999 - 2000 リフティングの量子情報理論への応用
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Papers (145):
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Asfand Fahad, Yuanheng Wang, Zammad Ali, Riaz Hussain, Shigeru Furuichi. Exploring properties and inequalities for geometrically arithmetically-Cr-convex functions with Cr-order relative entropy. Information Sciences. 2024. 662. 120219-120219
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H.R.Moradi, N.Minculete, S.Furuichi, M.Sababheh. Subadditive and superadditive inequalities for convex and superquadratic functions. CARPATHIAN J. MATH. 2024. 40. 1. 121-137
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Shigeru Furuichi, Hamid Reza Moradi, Cristian Conde, Mohammad Sababheh. On a binary operation for positive operators. Acta Scientiarum Mathematicarum. 2023
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Shigeru Furuichi, Nicuşor Minculete, Hamid Reza, Moradi, Mohammad Sababheh. Some new properties of geometrically-convex functions. Quaestiones Mathematicae. 2023
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Mohammad Sababheh, Shigeru Furuichi, Hamid Reza Moradi. Sharpening celebrated convex inequalities with applications to operators and entropies. Reviews in Mathematical Physics. 2023. 35. 10. 2350031-1-2350031-18
more...
Books (8):
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Symmetry in the Mathematical Inequalities
MDPI AG 2022 ISBN:9783036540054
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Operator Theory, Functional Analysis and Applications
Birkhauser 2021 ISBN:9783030519445
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情報理論---エントロピーと符号化定理---
日本評論社 2021 ISBN:9784535789340
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Advances in Mathematical Inequalities
De Gruyter 2020 ISBN:9783110643435
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Inequalities
MDPI AG 2020 ISBN:9783039280629
more...
Lectures and oral presentations (173):
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幾何平均とスペクトル幾何平均に関する不等式
(日本数学会2023年度秋季総合分科会 2023)
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Spectral geometric mean versus geometric mean by generalized Kantorovich constant
(Mini-Symposium"Structured matrices with applications in sciences and engineering" in ICIAM2023 2023)
-
On log-sum inequalities
(Mini-Symposium"Inequalities;entropy with applications" in ICIAM2023 2023)
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Spectral geometric mean, geometric mean and Kantorovich constant
(ILAS2023 2023)
-
対数平均と Wigner-Yanase-Dyson 関数に関する不等式
(RIMS 共同研究(公開型) 作用素平均と関連する話題 2022)
more...
Education (2):
- Tokyo University of Science Faculty of Science and Technology Mathematics
- Science University of Tokyo Graduate School of Science and Technology (Master's Course) Information Science
Professional career (1):
Association Membership(s) (7):
日本数学会
, IEEE(Information Theory Society)
, The Mathematical Association of America
, 情報理論とその応用学会
, SIAM
, 電子情報通信学会
, 日本応用数理学会
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