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In closed-loop convex analysis and design, the linear controller design problem is reformulated as a convex optimization problem, which may be more easily solved than the problems resulting from conve...
We present minimax and stochastic formulations of some linear approximation problems with uncertain data in R^n equipped with the Euclidean (l2), Absolute-sum (l1) or Chebyshev (l-infinity) norms. We ...
This paper discusses a stylized communications problem where one wishes to transmit a real-valued signal x ∈ Rn (a block of n pieces of information) to a remote receiver. We ask whether it is possible...
The initial value problem of convex conservation laws, which includes the famous Burgers’ (inviscid) equation, plays an important rule not only in the-oretical analysis for conservation laws, but also...
We consider a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanuja...
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimen...
We establish a maximin characterization of the linear escape rate of the orbits of a nonexpansive mapping on a complete (hemi-)metric space, under a mild form of Busemann’s nonpositive curvature con...
Generalizing results by Valette, Zamfirescu and Laczkovich, we will here prove that the tiling of any convex body K into convex subsets contains some information on K itself, namely if many tiles are ...
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.
We prove that a C1,1-smooth bounded domain D in Cn is linearly convex if and only if the convex hull of any two discs in D with common center lies in D.
The inaccessibility of a point p in a bounded domain D  Rn is the minimum of the lengths of segments through p with boundary at @D. The points of maximum inaccessibility ID are those where the inacce...
We endow any locally m-convex H*-algebra \left( E,t \right) with a locally pre-C*-topology weaker than t. Examples and applications are provided.

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