搜索结果: 91-105 共查到“数学 e inequality”相关记录341条 . 查询时间(0.068 秒)
The Reverse and Generalized Poincaré Inequality
equivalent norms unbounded operators Poincar´ e inequality Banach space embeddings Hilbert spaces
2009/6/16
In this paper we show that, by the use of an equivalent norm, one can make unbounded
linear operators exhibit one of the most important properties of bounded operators
without using the graph norm. ...
We present a generalization of Newton's inequality, i.e., an inequality of mixed form connecting symmetric functions and weighted means. Two open problems are also stated.
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.
An Inequality on Ternary Quadratic Forms in Triangles
Positive semidefinite ternary quadratic form arithmetic-mean geometric-mean inequality Cauchy inequality triangle
2010/1/22
In this short note, we give a proof of a conjecture about ternary quadratic orms involving two triangles and several interesting applications.
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.
The Best Constants for a Double Inequality in a Triangle
Inequality Best Constant Triangle
2010/1/22
In this short note, by using some of Chen's theorems and classic analysis, we obtain a double inequality for triangle and give a positive answer to a problem posed by Yang and Yin [6].
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...
In the present note a general integral inequality is proved in the direction that was initiated by Q.A. Ng?et al. [Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7 (4) (2006), Art. ...
On a reverse of Hardy-Hilbert's integral inequality via Minkowski's inequality
Hardy-Hilbert's inequality Minkowski's inequality
2010/9/14
The reverse of the Hardy-Hilbrt's Integral inequality via Minkowski'sinequality in its general form is given. As an application, a special case is deduced.
A generalization of Hardy-Hilbert's integral inequality and its reverse
Hardy-Hilbert's integral inequality reverse
2010/9/10
New generalizations of Hardy-Hilbert's integral inequality and its reverse via new methods are established.
Determining feasible solution in imprecise linear inequality systems
interval linear inequality degree holding inequality true
2010/9/13
In this paper, we investigate imprecise linear inequality problems when there is no solution. In general, inconsistency of ordinary linear inequality model can be overcome by changes in the coefficien...
For x > 0, let Γ(x) be the Euler’s gamma function, and ψ(x) = Γ(x)/Γ(x) the psi function. In this paper, we prove that |ψ(n)(b) −ψ(n)(a)| < (b − L(a, b))|ψ(n+1)(b)| + (L(a, b) − a)|...