AbstractThis paper discusses the use of a duality theorem for the computation of lower bounds for relative projection constants. A first application yields a slight improvement of a lower bound which has already been proved by the author. Further applications concern polynomial projection in the L1-space as well as polynomial projections in the multivariate case. The derived lower bounds are asymptotically best possible
We further investigate the uniform regularity property of collections of sets via primal and dual ch...
The relations between marginal, joint, and conditional rate-distortion functions are rederived using...
AbstractThis paper establishes a type of Kantorovich inequality subject to some constraints and obta...
International audienceThe long-standing problem of minimal projections is addressed from a computati...
AbstractIn this paper the asymptotically sharp lower bound (4π2)(ln n − ln ln n) for the norms of li...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractForγ∈(0,1/2] we constructn-dimensional polynomial subspacesYnofC[−1,1] andL1(−1,1) such that...
The motivation of this work stems from the numerical approximation of bounded functions by polynomia...
Abstract. The condition number of a space, i.e. the least condition number of its bases, is investig...
AbstractWe study a new method for proving lower bounds for subclasses of arithmetic circuits. Roughl...
AbstractWe will construct a minimal and co-minimal projection from Lp([0,1]n) onto Lp([0,1]n1)+⋯+Lp(...
AbstractWe obtain the lower bound on a variant of the common problem of dimensionality reduction. In...
To analyze the absolute condition number of multivariate polynomial interpolation on Lissajous–Cheby...
summary:After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Dio...
We further investigate the uniform regularity property of collections of sets via primal and dual ch...
The relations between marginal, joint, and conditional rate-distortion functions are rederived using...
AbstractThis paper establishes a type of Kantorovich inequality subject to some constraints and obta...
International audienceThe long-standing problem of minimal projections is addressed from a computati...
AbstractIn this paper the asymptotically sharp lower bound (4π2)(ln n − ln ln n) for the norms of li...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractForγ∈(0,1/2] we constructn-dimensional polynomial subspacesYnofC[−1,1] andL1(−1,1) such that...
The motivation of this work stems from the numerical approximation of bounded functions by polynomia...
Abstract. The condition number of a space, i.e. the least condition number of its bases, is investig...
AbstractWe study a new method for proving lower bounds for subclasses of arithmetic circuits. Roughl...
AbstractWe will construct a minimal and co-minimal projection from Lp([0,1]n) onto Lp([0,1]n1)+⋯+Lp(...
AbstractWe obtain the lower bound on a variant of the common problem of dimensionality reduction. In...
To analyze the absolute condition number of multivariate polynomial interpolation on Lissajous–Cheby...
summary:After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Dio...
We further investigate the uniform regularity property of collections of sets via primal and dual ch...
The relations between marginal, joint, and conditional rate-distortion functions are rederived using...
AbstractThis paper establishes a type of Kantorovich inequality subject to some constraints and obta...
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