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2010, De Gruyter studies in mathematics, ISBN 3110215306, Volume 37, xi, 313
Book
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2010, Volume 2010, Issue 1, pp. 1 - 84
By looking back at the long history of bounding the ratio Gamma (x+a)/ Gamma (x+b) for x>-min[Function{a,b} and a,b[isin]R, various origins of this topic... 
Mathematics, general | Mathematics | Applications of Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | DIGAMMA | REFINEMENTS | INCOMPLETE GAMMA | INEQUALITIES | EXTENSIONS | CONVEXITY | PROPERTY | PRODUCT | MONOTONIC FUNCTIONS | UNIT BALL | Studies | Computer science | Laplace transforms | Convex analysis | Gamma function | Origins | Inequalities
Journal Article
Annals of Physics, ISSN 0003-4916, 08/2018, Volume 395, pp. 238 - 274
.... In this paper we consider a log-regularized version of this family and use it as a family of potential functions to generate covariant (0,2... 
Quantum divergence | Quantum information theory | Quantum relative entropy | Quantum metric tensor | TRACE | PHYSICS, MULTIDISCIPLINARY | INFORMATION | MONOTONE RIEMANNIAN METRICS | Atoms | Freedom of speech
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 2018, Volume 553, pp. 238 - 251
This paper concerns three classes of real-valued functions on intervals, operator monotone functions, operator convex functions, and strongly operator convex functions... 
Operator convex functions | Strongly operator convex functions | Operator monotone functions | Completely monotone functions | Loewner theorem | Pick functions | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | MAJORIZATION | Operators (mathematics) | Monotone functions | Mathematical analysis | Inequalities | Mathematical functions | Convexity | Convex analysis | Continuity (mathematics)
Journal Article
Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability, ISSN 1350-7265, 2013, Volume 19, Issue 4, pp. 1327 - 1349
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 42
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2010, Volume 233, Issue 9, pp. 2149 - 2160
In the present paper, we establish necessary and sufficient conditions for the functions x α | ψ ( i ) ( x + β ) | and α | ψ ( i ) ( x + β ) | − x | ψ ( i + 1 ) ( x + β... 
Completely monotonic function | Bernoulli numbers | Infinite series | Monotonicity | Polygamma function | GAMMA | MATHEMATICS, APPLIED | INEQUALITIES | PROPERTY | Mathematics - Classical Analysis and ODEs
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2006, Volume 134, Issue 4, pp. 1153 - 1160
Journal Article
SIAM journal on computing, ISSN 1095-7111, 2011, Volume 40, Issue 6, pp. 1740 - 1766
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2010, Volume 368, Issue 1, pp. 293 - 310
Journal Article
Statistics & probability letters, ISSN 0167-7152, 2020, Volume 157, p. 108620
...d of positive definite radial functions. In particular, we study the positive definiteness of the operator... 
Positive definite | Completely monotonic | Fourier transforms | Radial functions | STATISTICS & PROBABILITY | DIMENSION
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 03/2019, Volume 180, Issue 3, pp. 751 - 774
The signed distance function (or oriented distance function) of a set in a metric space determines the distance of a given point from the boundary of the set, with the sign determined by whether the point is in the set or in its... 
Maximally monotone operator | Skeleton of a convex set | Not convex subdifferential domain | Subdifferential | Paramonotone operator | Signed distance function | Nearly convex sets | Fenchel conjugate | Boundary projection | MATHEMATICS, APPLIED | CONVEXITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SETS | MONOTONE-OPERATORS | Knowledge | Analysis | Domains | Fuzzy sets | Applications of mathematics | Metric space | Mathematical analysis
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 17
... ∗ ) $x\in(0, x^{\ast})$ and Γ ( x + 1 ) < ( x 2 + 1 / γ ) / ( x + 1 / γ ) $\Gamma(x+1)<(x^{2}+1/\gamma)/(x+1/\gamma )$ for x ∈ ( x ∗ , 1 ) $x\in(x^{\ast}, 1)$ , where Γ ( x ) $\Gamma(x)$ is the classical gamma function... 
33B15 | rational bound | psi function | Analysis | gamma function | Mathematics, general | Mathematics | 41A60 | Applications of Mathematics | 26D07 | completely monotonic function | MATHEMATICS | MATHEMATICS, APPLIED | FUNCTION INEQUALITY | completely monotonicn function | Gamma function | Research
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2016, Volume 19, Issue 5, pp. 1105 - 1160
Journal Article
数学物理学报:B辑英文版, ISSN 0252-9602, 2015, Volume 35, Issue 5, pp. 1214 - 1224
In this paper, the q-analogue of the Stirling formula for the q-gamma function (Moak formula) is exploited to prove the complete monotonicity properties... 
k公式 | 完全单调性 | Gamma函数 | 不等式 | 单调函数 | 实数 | Moa | 调和数 | inequalities | completely monotonic functions | q-gamma function | q-polygamma function | 26A48 | 26D15 | 33D05 | Completely monotonic functions | Q-gamma function | Q-polygamma function | Inequalities | MATHEMATICS | Q-DIGAMMA FUNCTIONS
Journal Article