The Wirtinger-Steklov inequality between the norm of a periodic function and the norm of the positive cutoff of its derivative |
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| Authors: | E A Zernyshkina |
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| Institution: | (1) Faculty of Mathematics and Mechanics, Samara State University, ul. Akademika Pavlova 1, Samara, 443011, Russia |
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| Abstract: | We prove that there is no single uniform tight frame in Euclidean (unitary) space such that a solution of the ℓ
1-norm minimization problem for the frame representation is attained on the frame coefficients. Then we find an exact solution
of the ℓ
1-minimization problem for the Mercedes-Benz frame in ℝ
N
. We also give some examples of connections between optimization problems of various types. |
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| Keywords: | |
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