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Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/2013, Volume 54, Issue 12, p. 122201
We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of... 
INEQUALITIES | CONCAVITY | PHYSICS, MATHEMATICAL | TRACE FUNCTIONS | CONVEXITY | QUANTUM ENTROPY | Entropy | MAPS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY | EXCITATION FUNCTIONS
Journal Article
Taiwanese Journal of Mathematics, ISSN 1027-5487, 2/2014, Volume 18, Issue 1, pp. 237 - 255
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 1, pp. 221 - 226
We introduce a quite large class of functions (including the exponential function and the power functions with exponent greater than one), and show that for... 
[formula omitted]-algebra | Monotonicity | Centrality | algebra | MATHEMATICS | COMMUTATIVITY | MATHEMATICS, APPLIED | C-algebra
Journal Article
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 227, Issue 1, pp. 123 - 142
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2013, Volume 219, Issue 21, pp. 10538 - 10547
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 06/2019, Volume 292, Issue 6, pp. 1238 - 1245
We present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that ζ′(s) is in that class presents a... 
11M26 | first derivative of the Riemann zeta function | 11M06 | logarithmically complete monotonicity | 26A48 | Ramanujan‐tau L‐function | complete monotonicity | Ramanujan-tau L-function | MATHEMATICS | GAMMA-FUNCTIONS | PSI | ZEROS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 2/2020, Volume 59, Issue 1, pp. 1 - 32
Using the electrostatic potential u due to a uniformly charged body $$\Omega \subset {\mathbb {R}}^n$$ Ω⊂Rn , $$n\ge 3$$ n≥3 , we introduce a family of... 
35B06 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C21 | 35N25 | Mathematics
Journal Article
The Mathematical Intelligencer, ISSN 0343-6993, 12/2018, Volume 40, Issue 4, pp. 12 - 13
Math. Intell. 40 (2018), 12-13 We offer an alternative and shorter proof to a result by Jan J.Ub{\o}e about monotonicity properties of a one-dimensional... 
Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | MATHEMATICS | Mathematics - Classical Analysis and ODEs
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 6/2019, Volume 91, Issue 3, pp. 1 - 11
In this paper, we give two characterizations of central elements in a $$C^*$$ C∗ -algebra $$\mathcal {A}$$ A in terms of local properties of maps on $$\mathcal... 
Additivity | Analysis | Primary 46L05 | Centrality | Mathematics | C^$$ C ∗ -algebras | Monotonicity | Continuous function calculus
Journal Article
2005, Nonconvex optimization and its applications, ISBN 9780387232553, Volume 76, xx, 672
Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse... 
Convex functions | Monotonic functions | Mathematics | Operations Research, Mathematical Programming | Game Theory, Economics, Social and Behav. Sciences | Real Functions
Book
Econometrica, ISSN 0012-9682, 03/2018, Volume 86, Issue 2, pp. 737 - 761
Journal Article
Journal of Econometrics, ISSN 0304-4076, 11/2018, Volume 207, Issue 1, pp. 53 - 70
Journal Article
Journal of Applied Econometrics, ISSN 0883-7252, 03/2016, Volume 31, Issue 2, pp. 338 - 356
Summary A large class of asset pricing models predicts that securities which have high payoffs when market returns are low tend to be more valuable than those... 
SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | PRICES | RISK-AVERSION | REALIZED KERNELS | IMPLICIT | Analysis | Pricing | Economic models | Assets
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 10/2013, Volume 153, Issue 1, pp. 70 - 92
Journal Article
Mathematical Social Sciences, ISSN 0165-4896, 09/2018, Volume 95, pp. 19 - 30
In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among agents with different valuations in a way —giving each... 
BORSUK-ULAM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | FAIR DIVISION | PREFERENCES | ECONOMIES | NECKLACES | LAND | SOCIAL SCIENCES, MATHEMATICAL METHODS | PRINCIPLE | ECONOMICS | ALLOCATION RULES | Game theory | Management science
Journal Article