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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 255 - 266
...RACSAM (2019) 113:255–266 https://doi.org/10.1007/s13398-017-0469-5 ORIGINAL PAPER Further improvements of Y oung inequality Shigeru Furuichi 1 Received: 10... 
Young inequality and operator inequality | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | 26D20 and 15A45 | 26D07 | MATHEMATICS | Inequalities | Mathematics - Classical Analysis and ODEs
Journal Article
Physical review. A, Atomic, molecular, and optical physics, ISSN 1094-1622, 2010, Volume 82, Issue 3
We shall give an alternative Schrodinger-type uncertainty relation for a quantity representing a quantum uncertainty, introduced by Luo [Phys. Rev. A 72,... 
PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS
Journal Article
Journal of Mathematical Physics, ISSN 1089-7658, 2006, Volume 47, Issue 2, pp. 023302 - 023302-18
...Information theoretical properties of Tsallis entropies Shigeru Furuichi a Department of Electronics and Computer Science, Tokyo University of Science... 
SPACE | UNIQUENESS THEOREM | PHYSICS, MATHEMATICAL | SHANNON THEOREM | AXIOMS | Physics - Statistical Mechanics
Journal Article
Physical Review. A, ISSN 1050-2947, 09/2010, Volume 82, Issue 3
We shall give an alternative Schroedinger-type uncertainty relation for a quantity representing a quantum uncertainty, introduced by Luo [Phys. Rev. A 72,... 
MIXED STATE | QUANTUM INFORMATION | UNCERTAINTY PRINCIPLE | HEISENBERG PICTURE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | INFORMATION | SCHROEDINGER PICTURE
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 11
... Access Unitarily invariant norm inequalities for some means Shigeru Furuichi * * Correspondence: furuichi@chs.nihon-u.ac.jp Department of Information Science... 
symmetric homogeneous mean | Analysis | unitarily invariant norm and norm inequality | Mathematics, general | logarithmic mean | Mathematics | Applications of Mathematics | Symmetric homogeneous mean | Unitarily invariant norm and norm inequality | Logarithmic mean | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Norms | Continuity | Invariants | Inequalities | Symmetry
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 10
... Functional version for Furuta parametric relative operator entropy Mustapha Raïssouli 1,2 and Shigeru Furuichi 3* * Correspondence: furuichi@chs.nihon-u.ac.jp 3... 
52A41 | Mathematics | Functional inequalities | Operator entropies | 46A20 | 47A63 | 39B62 | Operator inequalities | Analysis | Mathematics, general | Applications of Mathematics | 47N10 | 46N10 | Convex analysis | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | TSALLIS | Entropy | Research
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2009, Volume 50, Issue 1, pp. 013303 - 013303-12
...On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics Shigeru Furuichi a Department of Computer Science... 
maximum entropy methods | LAW | PHYSICS, MATHEMATICAL | statistical mechanics | Physics - Statistical Mechanics
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2011, Volume 59, Issue 10, pp. 1143 - 1158
Quantum entropy and skew information play important roles in quantum information science. They are defined by traces of positive operators, hence trace... 
skew information | correlation measure and positive operators | Tsallis relative entropy | trace inequality | Trace inequality | Correlation measure and positive operators | Skew information | MATHEMATICS | STATISTICAL-MECHANICS | UNCERTAINTY PRINCIPLE | QUANTUM | ENTANGLEMENT | TRACE INEQUALITIES | Studies | Information science | Entropy | Inequality
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2010, Volume 51, Issue 12, pp. 123302 - 123302-10
...JOURNAL OF MATHEMATICAL PHYSICS 51, 123302 (2010) An axiomatic characterization of a two-parameter extended relative entropy Shigeru Furuichi a) Department... 
PHYSICS, MATHEMATICAL | SHANNON-KHINCHIN AXIOMS
Journal Article
Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 8, pp. 1567 - 1578
New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct... 
Operator inequality | Secondary 46L05 | Pólya-Szegö inequality | positive linear map | Primary 47A63 | operator monotone function | Pólya–Szegö inequality | 47A60 | MATHEMATICS | YOUNG | Polya-Szego inequality | Monotone functions | Upper bounds | Inequalities
Journal Article
Neurologia medico-chirurgica, ISSN 0470-8105, 2019, Volume 59, Issue 3, pp. 106 - 115
Journal Article
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2018, Volume 2018, Issue 1, pp. 1 - 20
... Some complementary inequalities to Jensen’ s operator inequality Jadranka Mi´ ci´ c 1* ,H a m i dR e z aM o r a d i 2 and Shigeru Furuichi 3 * Correspondence: jmicic@fsb.hr 1... 
positive linear mapping | convex function | Mathematics | 47A64 | Mond-Pečarić method | 47A63 | self-adjoint operator | 47B15 | converse of Jensen’s operator inequality | Analysis | Mathematics, general | 46L05 | Applications of Mathematics | converse of Jensen's operator inequality | QUASI-ARITHMETIC MEANS | MATHEMATICS | Mond-Pecaric method | MATHEMATICS, APPLIED | POSITIVE LINEAR-MAPS | CONVERSES | Research
Journal Article
Comptes rendus. Mathématique, ISSN 1631-073X, 05/2018, Volume 356, Issue 5, pp. 475 - 481
In this paper, we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of the... 
MATHEMATICS
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 1/2019, Volume 42, Issue 1, pp. 267 - 284
...Bull. Malays. Math. Sci. Soc. (2019) 42:267–284 https://doi.org/10.1007/s40840-017-0483-y Generalized Reverse Y oung and Heinz Inequalities Shigeru Furuichi 1... 
Young’s inequality | Operator inequality | 15A39 | Mathematics, general | Mathematics | 47A64 | Applications of Mathematics | 47A63 | Heinz inequality | 47A60 | MATHEMATICS | OPERATOR | Young's inequality | Mathematics - Classical Analysis and ODEs
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 2010, Volume 201
...: Conference Series 201 (2010) 012016 doi:10.1088/1742-6596/201/1/012016 On generalized Fisher informations and Crem´ er-Rao type inequalities Shigeru Furuichi Department... 
Conference Proceeding
Journal of function spaces, ISSN 2314-8888, 2018, Volume 2018, pp. 1 - 7
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić... 
MATHEMATICS | MATHEMATICS, APPLIED | MAPS | JENSEN | Algebra | Stream flow | Maps | Inequalities | Graphs | Mathematical functions | Mathematics | Hilbert space | Convexity | Convex analysis
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 04/2012, Volume 388, Issue 2, pp. 1147 - 1156
Journal Article
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