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An Exact Test for Multiple Inequality and Equality Constraints in the Linear Regression Model
Multiple Inequality Equality Constraints
2015/7/31
In this article we consider the linear regression model y = X,B + a,
where e is N(O, a21). In this context we derive exact tests of the form
H: Rft ? r versus K: f E R K for the case in which a2 i...
A generalized Young inequality and some new results on fractal space
Dfractal real line number system fractional set generalized Young inequality
2011/9/21
Abstract: Starting with real line number system based on the theory of the Yang's fractional set, the generalized Young inequality is established. By using it some results on the generalized inequalit...
Estimates for the asymptotic behavior of the constants in the Bohnenblust--Hille inequality
Absolutely summing operators Bohnenblust–Hille Theorem Functional Analysis
2011/9/20
Abstract: A classical inequality due to H.F. Bohnenblust and E. Hille states that for every positive integer $n$ there is a constant $C_{n}>0$ so that $$(\sum\limits_{i_{1},...,i_{n}=1}^{N}|U(e_{i_{^{...
Vector-valued decoupling and the Burkholder-Davis-Gundy inequality
vector-valued decoupling inequalities tangent sequences UMD Banach spaces vector-valued stochastic integration
2011/9/2
Abstract: Let X be a Banach space. We prove p-independence of the one-sided decoupling inequality for X-valued tangent martingales as introduced by Kwapien and Woyczynski. It is known that a Banach sp...
Bohr's inequality revisited
Bohr's inequality revisited Functional Analysis Operator Algebras
2011/8/26
Abstract: We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators relate...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
A natural derivative on [0,n] and a binomial Poincaré inequality
natural derivative binomial Poincaré inequality Probability
2011/8/22
Abstract: We consider probability measures supported on a finite discrete interval $[0,n]$. We introduce a new finitedifference operator $\nabla_n$, defined as a linear combination of left and right f...
Abstract: The main observation of this note is that the Lebesgue measure $\mu$ in the Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $\omega ...
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under ...
We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth familie...
On the constants in a Kato inequality for the Euler and Navier-Stokes equations
Navier-Stokes equations inequalities Sobolev spaces
2010/12/3
We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus Td. More specifically, we consider the quadratic t...
Generalization of an Impulsive Nonlinear Singular Gronwall-Bihari Inequality with Delay
Gronwall-Bihari inequality Nonlinear Impulsive
2010/1/22
This paper generalizes a Tatar's result of an impulsive nonlinear singular Gronwall-Bihari inequality with delay [J. Inequal. Appl., 2006(2006), 1-12] to a new type of inequalities which includes n di...