搜索结果: 1-15 共查到“应用数学 Monotonicity”相关记录21条 . 查询时间(0.078 秒)
The Ratio Monotonicity of the q-Derangement Numbers
q-derangement number spiral property log-concavity ratio monotone property
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2014/6/3
We introduce the notion of ratio monotonicity for polynomials with nonnegative coefficients, and we show that for n ≥ 6, the q-derangement numbers Dn(q) are strictly ratio monotone, except for the las...
L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus
L'Hopital-Type Rules Quantum Calculus
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2010/11/24
We prove new l'Hopital rules for monotonicity valid on an arbitrary time scale. Both delta and nabla monotonic l'Hopital rules are obtained. As an example of application, we give some new upper and lo...
A Monotonicity Property of Power Means
Arithmetic mean Geometric mean Monotonicity Power means
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2008/7/3
A Monotonicity Property of Power Means.
A Monotonicity Property of Ratios of Symmetric Homogeneous Means
Monotonicity Strong inequalities Extended mean values Gini's mean Seiffert's mean Relative metrics
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2008/7/3
We study a certain monotonicity property of ratios of means, which we call a strong inequality. These strong inequalities were recently shown to be related to the so-called relative metric. We also us...
A Monotonicity Property of the Gamma Function
Gamma function Strictly completely monotone
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2008/7/3
A Monotonicity Property of the Gamma Function
A New Proof of the Monotonicity of Power Means
Power means Convex functions
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2008/7/3
The author uses certain property of convex functions to prove Bernoulli's inequality and to obtain a simple proof of monotonicity of power means.
A New Proof of the Monotonicity Property of Power Means
Convexity Monotonicity Power Means
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2008/7/3
A New Proof of the Monotonicity Property of Power Means.
Monotonicity Properties of the Relative Error of a Pad?Approximation for Mills' Ratio
Mills' ratio Complementary error function Failure rate Padé approximation Continuous fractions Relative error L'Hospital's Rule Monotonicity
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2008/7/3
Based on a ``monotonicity'' analogue of the l'Hospital Rule, monotonicity properties of the relative error are established for a Padé approximation of Mills' ratio.
"Non-strict" l'Hospital-Type Rules for Monotonicity: Intervals of Constancy
L'Hospital-type rules for monotonicity Intervals of constancy
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2008/7/3
"Non-strict" l'Hospital-Type Rules for Monotonicity: Intervals of Constancy.
L'Hospital Type Rules for Monotonicity, with Applications
L'Hospital's Rule Monotonicity Information Inequalities
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2008/7/1
L'Hospital Type Rules for Monotonicity, with Applications.
L'Hospital Type Rules for Monotonicity: Applications to Probability Inequalities for Sums of Bounded Random Variables
L'Hospital's Rule Monotonicity Probability inequalities Sums of independent random variables Student's statistic
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2008/7/1
This paper continues a series of results begun by a l'Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent ra...
L'Hospital-Type Rules for Monotonicity, and the Lambert and Saccheri Quadrilaterals in Hyperbolic Geometry
L'Hospital type rules for monotonicity Hyperbolic geometry Poincare model Lambert quadrilaterals Saccheri quadrilaterals Riemann geometry Differential geometry
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2008/7/1
L'Hospital-Type Rules for Monotonicity, and the Lambert and Saccheri Quadrilaterals in Hyperbolic Geometry.
Monotonicity and Concavity Properties of Some Functions Involving the Gamma Function with Applications
Gamma function Monotonicity Concavity Equivalence
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2008/6/30
In this article, we give the monotonicity and concavity properties of some
functions involving the gamma function and some equivalence sequences to the
sequence n! with exact equivalence constants...
Monotonicity and Convexity for the Gamma Function
Gamma function monotonicity convexity
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2008/6/30
Monotonicity and Convexity for the Gamma Function.
Monotonicity and Convexity of Four Sequences Originating from Nanson's Inequality
Monotonicity Convexity Sequence Nanson's inequality Refinement
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2008/6/30
In the short note, four sequences originating from Nanson's inequality are introduced, their monotonicities and convexities are obtained, and Nanson's inequality is refined.