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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Coupling by change of measures for dimension-free Harnack inequality
无维 哈纳克不等式 测度 耦合
2023/5/12
简要介绍概率论中的耦合方法及其在基础数学中的应用。引入新的变测度耦合，以简单的随机微分方程为例，将其应用于建立无穷维Harnack不等式、Bisnut导数公式和分布积分公式。
The gallery length filling function and a geometric inequality for filling length
filling length filling function
2015/8/26
We exploit duality considerations in the study of singular combinatorial 2-discs ("diagrams") and are led to the following innovations concerning the geometry of the word problem for finite presentati...
A volumetric Penrose inequality for conformally flat manifolds
volumetric Penrose inequality conformally flat manifolds
2010/12/1
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to Rn \ , n 3, and so that their boundary is a minimal hypersurface.
Bernstein type inequality in monotone rational approximation
Bernstein type inequality monotone rational approximation
2010/12/10
The following analog of Bernstein inequality for monotone rational functions is established: if R is an increasing on [−1, 1] rational function of degree n, then R′(x) < 9n 1 − x2 kRk, x ∈...
A Note on Some New Refinements of Jensen's Inequality for Convex Functions
Convex function Jensen's inequality Refinements of Jensen's inequality
2010/1/25
In this note, we obtain two new refinements of Jensen's inequality for convex functions.
On a Decomposition of Hilbert's Inequality
Hilbert's inequality Weight coefficient Equivalent form Hilbert-type inequality
2010/1/22
By using the Euler-Maclaurin's summation formula and the weight coefficient, a pair of new inequalities is given, which is a decomposition of Hilbert's inequality. The equivalent forms and the extende...
A Characterization of the Uniform Distribution on the Circle by Stam Inequality
Fisher information Stam inequality
2010/1/25
We prove a version of Stam inequality for random variables taking values on the circle . Furthermore we prove that equality occurs only for the uniform distribution.
A New Refinement of the Hermite-Hadamard Inequality for Convex Functions
Hermite-Hadamard inequality
2010/1/25
In this paper we establish a new refinement of the Hermite-Hadamard inequality for convex functions.
On a Variational Inequality Containing a Memory Term with an Application in Electro-Chemical Machining
Evolutionary variational inequality existence uniqueness regularity and time evolution of the solution convex sets penalization method electro-chemical machining process
2009/1/22
An obstacle problem with a memory term is studied in the framework of the variational inequality theory. Applying a fixed point argument and a convergence result for convex sets the existence and uniq...
An Equivalent Form of the Fundamental Triangle Inequality and its Applications
Fundamental triangle inequality Equivalent form Garfunkel-Bankoff inequality Leuenberger's inequality
2010/1/22
An equivalent form of the fundamental triangle inequality is given. The result is then used to obtain an improvement of the Leuenberger's inequality and a new proof of the Garfunkel-Bankoff inequality...
An Integral Inequality for 3-Convex Functions
Chebyshev functional Convex functions Integral inequality
2010/1/22
In this paper, an integral inequality and an application of it, that imply the Chebyshev functional for two 3-convex (3-concave) functions, are given.
On an Inequality of Feng Qi
Optimal inequality Power sum Subadditive Superadditive Power mean inequality
2010/1/22
Recently Feng Qi has presented a sharp inequality between the sum of squares and the exponential of the sum of a nonnegative sequence. His result has been extended to more general power sums by Huan-N...
On Starlikeness and Convexity of Analytic Functions Satisfying a Differential Inequality
Multivalent function Starlike function Convex function Multiplier transformation
2010/1/22
In the present paper, the authors investigate a differential inequality defined by multiplier transformation in the open unit disk E = {z:|z|
In this paper, we show the triangle inequality and its reverse inequality in quasi-Banach spaces.
An Inequality About $_3phi_2$ and its Applications
Basic hypergeometric function $_3phi_2$ $q$-binomial theorem $q$-Chu-Vandermonde formula Gruss inequality
2010/1/22
In this paper, we use the terminating case of the -binomial formula, the -Chu-Vandermonde formula and the Gr黶s inequality to drive an inequality about . As applications of the inequality, we discuss ...