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This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
Global convergence of quorum-sensing networks     quorum-sensing networks  synchronization phenomena       font style='font-size:12px;'> 2010/4/6
In many natural synchronization phenomena, communication between individual elements occurs not directly, but rather through the environment. One of these instances is bacterial quorum sensing, where ...
Convergence of Heston to SVI     Heston  SVI  large-time asymptotic       font style='font-size:12px;'> 2010/4/27
In this short note, we prove by an appropriate change of variables that the SVI implied volatility parameterization presented in Gatheral's book and the large-time asymptotic of the Heston implied vol...
Forward-convex convergence of sequences in $\mathbb{L}^0_+$     convergence of sequences  $\mathbb{L}^0_+$       font style='font-size:12px;'> 2010/4/27
For a sequence in $\mathbb{L}^0_+$, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges to the same limit. These conditions ...
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
In this paper, we introduce the iterative schemes by using hybrid methods for finding a common element of the set of an equilibrium problem and the set of fixed points of asymptotically k-strictly pse...
In this paper, we suggest and analyze a new four-step iterative method for solving nonlinear equations involving only first derivative of the function using a new decomposition technique which is due ...
Our results improve and extend the results announced by Genaro L.A.and H.K.Xu [Iterative methods for strict pseudo-contractions in Hilbert spaces, Nonl.Anal.67(2007) 2258-2271], T.H.Kim and H.K.Xu [St...
In this paper, we introduce and study some new Ishikawa iterative procedures with errors for multi-valued mappings in real normed linear spaces. General results on the convergence of the new Ishikaw...
In this paper, an efficient iterative method of arbitrary integer order of convergence ≥ 2 has been established for solving the hyperbolic form of Kepler’s equation. The method is of a dynamic natur...
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...
In this paper we introduce the concepts of the strong lacunary convergence and strong Ces´aro summabilty of sequences of real-valued functions. We also give the relations between these converg...
Our starting point is the Mosco-convergence result due to Hess ([18]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a $w$-ball-compact-valued function...
New Convergence Results for Nash Equilibria      Nash Equilibria  Convergence Results       font style='font-size:12px;'> 2009/1/22
Painleve-Kuratowski convergence results are obtained, under sufficient conditions of minimal character, for approximate Nash equilibria of two sequences of real valued functions. Moreover, an applicat...

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