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Ratio Monotonicity of Polynomials Derived from Nondecreasing Sequences
log-concavity ratio monotonicity Boros-Moll polynomials
2014/6/3
The ratio monotonicity of a polynomial is a stronger property than log-concavity. Let P(x) be a polynomial with nonnegative and nondecreasing coefficients. We prove the ratio monotone property of P(x ...
The Ratio Monotonicity of the Boros-Moll Polynomials
ratio monotone property spiral property unimodality log-concavity Jacobi polynomials Boros-Moll polynomials
2014/6/3
In their study of a quartic integral, Boros and Moll discovered a special class of Jacobi polynomials, which we call the Boros-Moll polynomials. Kauers and Paule proved the conjecture of Moll that the...
NONTRIVIAL PERIODIC SOLUTIONS OF A SEMILINEAR WAVE EQUATION WITHOUT ASSUMPTION OF MONOTONICITY
Periodic solution superlinear wave equat
2007/8/7
In references, some authors have succeeded in obtaining existence results of the superlinear wave equation without the assumption of monotonicity for the nonlinear term. In this paper, we present exis...
期刊信息
篇名
Monotone finite difference schemes for nonlinear systems with mixed quasi-monotonicity
语种
英文
撰写或编译
作者
王元明,郭本瑜
第一作者单位
刊物名称
Journal of Mathematics Analysis and Applications
页面
267, 599—625, 2002...
期刊信息
篇名
Petrov-Galerkin methods for nonlinear systems without monotonicity
语种
英文
撰写或编译
撰写
作者
王元明,郭本瑜
第一作者单位
刊物名称
Applied Numerical Mathematics
页面
36, 57—78, 2001,08
出版日期
2001年
8月
日
文章标识(ISSN)
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