Abstract
Throughout this chapter we suppose that u = (x1, …, x m ) ∈ ℝ m , y = (xm+1, …, x n ), and we consider a measurable cylindrical set ℰ = ℝ m × ℰ′ of points x = (u, y) = (x1 …, x n ), where u ∈ ℝ m , y ∈ ℰ′. We denote by ℝ m also the subspace of ℝ n consisting of the points (u, 0) = (x1…, x m 0, …, 0). For m =n ℰ = ℝ n . The case m = 0 is of little interest.
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© 1975 Springer-Verlag Berlin Heidelberg
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Nikol’skii, S.M. (1975). Direct and Inverse Theorems of the Theory of Approximation. Equivalent Norms. In: Approximation of Functions of Several Variables and Imbedding Theorems. Die Grundlehren der mathematischen Wissenschaften, vol 205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65711-5_6
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DOI: https://doi.org/10.1007/978-3-642-65711-5_6
Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-65711-5
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