搜索结果: 1-15 共查到“应用数学 convexity”相关记录19条 . 查询时间(0.015 秒)
The 2-log-convexity of the Apéry Numbers
Apery numbers log-convexity 2-log-convexity infinite log-convexity
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2014/6/3
We present an approach to proving the 2-log-convexity of sequences satisfying three-term recurrence relations. We show that the Apéry numbers, the Cohen-Rhin numbers, the Motzkin numbers, the Fine num...
A note on convexity and starshapedness
Convex sets wn-convex sets starshaped sets affine sets
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2010/11/1
We establish sufficient and necessary conditions for a set to be affine or convex. The concepts of weak near convexity and affine starshapedness are studied. A characterization of the (affine) kernel ...
Schur Positivity and the q-Log-convexity of the Narayana Polynomials
q-log-concavity q-log-convexity q-Narayana number Narayana polynomial lattice permutation Schur positivity Littlewood-Richardson rule
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2014/6/3
Using Schur positivity and the principal specialization of Schur functions, we provide a proof of a recent conjecture of Liu and Wang on the q-log-convexity of the Narayana polynomials, and a proof of...
The q-log-convexity of the Narayana polynomials of type B
q-log-convexity Schur positivity Pieri's rule the Jacobi-Trudi identity principal specialization Narayana numbers of type B
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2014/6/3
We prove a conjecture of Liu and Wang on the q-log-convexity of the Narayana polynomials of type B. By using Pieri's rule and the Jacobi-Trudi identity for Schur functions, we obtain an expansion of a...
Generalized convexity and invexity in optimization theory: Some new results
Generalized convexity and invexity optimization theory
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2010/9/15
Convex like properties, without vector space structure are intensively used in the minimax theory Since Ky Fan has proved the first minimax theorem for concave-convexlike functions, several authors ha...
$S$-Geometric Convexity of a Function Involving Maclaurin's Elementary Symmetric Mean
Geometrically convex function $S$-geometrically convex function Inequality Maclaurin-Inequality
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2008/7/3
$S$-Geometric Convexity of a Function Involving Maclaurin's Elementary Symmetric Mean.
Convexity of the Zero-Balanced Gaussian Hypergeometric Functions with Respect to H鰈der Means
Multiplicatively convexity Log-convexity Hypergeometric functions Hö lder means
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2008/7/1
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
Convexity of Weighted Stolarsky Means
Extended mean values Mean Convexity
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2008/7/1
Convexity of Weighted Stolarsky Means.
Improved $GA$- Convexity Inequalities
Convex functions $GA$-convexity Symmetric functions IMO competition
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2008/7/1
We consider a class of algebraic inequalities for functions of n variables depending on parameters that generalise the case of GA-convex functions. The functions in this class are GA-convex only in a ...
Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications
Hadamard inequality Euler formula Convex functions Integral inequalities Numerical integration
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2008/7/1
We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoid...
Geometric Convexity of a Function Involving Gamma Function and Applications to Inequality Theory
Gamma function Geometrically Convex function Wallis' inequality Application Inequality
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2008/7/1
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
Ky Fan's Inequality via Convexity
Convexity Ky Fan's Inequality
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2008/7/1
Ky Fan's Inequality via Convexity.
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.
On a Generalization of Alpha Convexity
Starlike Convex Strongly alpha-convex Bounded boundary rotation
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2008/6/30
On a Generalization of Alpha Convexity.
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.