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On Co-ordinated Quasi-Convex Functions
co-ordinates quasi-convex Wright-quasi-convex Jensen-quasiconvex
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2011/2/21
In this paper, we give some definitions on quasi-convex functions and we prove inequalities contain J-quasi-convex and W-quasi-convex functions.We give also some inclusions.
On norm sub-additivity and super-additivity inequalities for concave and convex functions
Matrix Norm Inequality Positive Semidefinite Matrix Convex
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2011/1/20
Sub-additive and super-additive inequalities for concave and convex functions have been generalized to the case of matrices by several authors over a period of time.These lead to some interesting ineq...
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple
infinite dimensional convex set BV functions
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2010/11/23
In this paper, we introduce a definition of BV functions in a Gelfand triple which is an extension of the definition of BV functions in [1] by using Dirichlet form theory. By this definition, we can c...
The Curse of Dimensionality for Monotone and Convex Functions of Many Variables
Convex Functions Many Variables
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2010/11/22
We study the integration and approximation problems for monotone and convex bounded functions that depend on $d$ variables, where $d$ can be arbitrarily large. We consider the worst case error for al...
The greatest convex minorant of Brownian motion, meander, and bridge
convex minorant Brownian motion
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2010/11/19
This article contains both a point process and a sequential description of the greatest convex minorant of Brownian motion on a finite interval. We use these descriptions to provide new analysis of v...
The convex minorant of a Lévy process
The convex minorant math
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2010/11/19
We offer a unified approach to the theory of convex minorants of L\'evy processes with continuous distributions. New results include simple and explicit constructions of the convex minorant of a L\'e...
Convex Multivariate Approximation by Algebras of Continuous Functions
Convex Multivariate Approximation Algebras Continuous Functions
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2010/11/22
We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.