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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 ...
A Weighted Geometric Inequality and Its Applications
Triangle Point Polar moment of inertia inequality
2010/1/25
A new weighted geometric inequality is established by Klamkin's polar moment of inertia inequality and the inversion transformation, some interesting applications of this result are given, and some c...
Some Retarded Nonlinear Integral Inequalities in Two Variables and Applications
Integral inequality Nonlinear Two variables Retarded
2010/1/22
In this paper, some retarded nonlinear integral inequalities in two variables with more than one distinct nonlinear term are established. Our results are also applied to show the boundedness of the so...
Theory and Applications of Categories (TAC) is an all-electronic journal using the TeX typesetting system to define its contents and the Internet to disseminate them. Authors are invited to submit art...
Integral and homothetic indecomposability with applications to irreducibility of polynomials
Absolute irreducibility polytopes integral indecomposability
2010/2/25
Being motivated by some methods for construction of homothetically indecomposable polytopes, we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we ...
A new technique is proposed for the analysis of shape optimization problems. The technique uses the asymptotic analysis of boundary value problems in singularly perturbed geometrical domains. The asym...
Applications of k-covers
selection principles $\omega$-cover $\gamma$-cover $k$-cover Hurewicz property $k$-groupability $k$-weak groupability game theory
2007/12/12
We investigate a role of $k$-covers in selection principles theory. Some results about relationships between Ramsey theory and game theory and selection principles that involve $k$-covers are also giv...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAXSERIES
Approximation theory polynomials Bernstein theorem minimax series
2007/12/12
In this paper, some results about approximation in a norm $S$ induced by
the minimax series are studied. Then a Bernstein-type theorem for the
norm $S$ is established. Finally the Bernstein theorem ...
The Invariance Principle for Linear Processes Generated by a Negatively Associated Sequence and Its Applications
linear process negatively associated sequence
2007/12/11
In this paper, we obtain the invariance principle for linear processes generated by a negatively associated sequence.
Strong Approximations of Martingale Vectors and Their Applications in
Martingale Non-homogenous Markov chain Wiener processes strong approximation adaptive designs asymptotic properties
2007/12/11
The strong approximations of a class of $\BbbR^d$-valued martingales are considered. The conditions used inthis paper are easier to check than those used in [3] and [9]. Asan application, the strong...
Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces
admissible set-valued mapping generalized $R$-KKM mapping transfer compactly open-valued compactly local intersection property multiobjective game
2007/12/11
Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approx...
Global Poincar′e inequalities on the Heisenberg group and applications
Heisenberg group Sobolev inequalities Poincar\'e inequalities best constants
2007/12/11
Let $f$ be in the localized nonisotropic Sobolev space $W_{\rm loc}^{1,p}(\Bbb H^n) $ on the $n$-dimensional Heisenberg group $\Bbb H^n=\Bbb C^n\times \Bbb R$, where $1\leq p and $Q=2n+2$ is the h...
Markov Skeleton Processes and Applications to Queueing Systems
markov skeleton process (MSP) queueing system
2007/12/10
In this paper, we apply the backward equations of Markov skeleton processes to queueing systems. The transient distribution of the waiting time of a G1/G/1 queueing system, the transient distribution ...
Applications of the Golden Ratio on Riemannian Manifolds
Riemannian manifold Golden Structure induced structures on submanifolds Golden Ratio
2010/2/25
The Golden Ratio is a fascinating topic that continually generates new ideas. The main purpose of the present paper is to point out and find some applications of the Golden Ratio and of Fibonacci numb...