The best approximation of the differentiation operator in the metric of L\(_p\)

DOI10.1007/BF01099059zbMath0262.41019MaRDI QIDQ2560963

V. N. Gabusin

Publication date: 1973

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

Best uniform approximation of the differentiation operator by operators bounded in the space \(L_2\) ⋮ Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\) ⋮ Approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space \(L_2(0,\infty)\) ⋮ The best approximation of the differentiation operator by linear bounded operators in the space \(L_2\) on the semiaxis ⋮ Best approximation of the differentiation operator in the space \(L_2\) on the semiaxis

Cites Work

• On the best uniform approximation of differentiation operators

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