منابع مشابه
Variations and Generalisations to the Rearrangement Inequality
Problem 1. Assume the dimensions of an answer sheet to be 297 mm by 210 mm. Suppose that your pen leaks and makes some non-intersecting ink stains on the answer sheet. It turns out that the area of each ink stain does not exceed 1 mm. Moreover, any line parallel to an edge of the answer sheet intersects at most one ink stain. Prove that the total area of the ink stains is at most 253.5 mm. (You...
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In this paper we show that convolutions of sufficiently sparse signals always admit a non–zero lower bound in energy if oversampling of its Fourier transform is employed. This bound is independent of the signals and the ambient dimension and is determined only be the sparsity of both input signals. This result has several implications for blind system and signal identification and detection, no...
متن کاملVariational inequality formulation of circular cone eigenvalue complementarity problems
In this paper, we study the circular cone eigenvalue complementarity problem (CCEiCP) by variational inequality technique, prove the existence of a solution to CCEiCP, and investigate different nonlinear programming formulations of the symmetric and asymmetric CCEiCP, respectively. We reduce CCEiCP to a variational inequality problem on a compact convex set, which guarantees that CCEiCP has at ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2018
ISSN: 1846-579X
DOI: 10.7153/jmi-2018-12-48