Abstract
Let (E, < ·, · >) be a Euclidean space with the norm denoted by ‖ · ‖. Let I = [a, b], a < b be a real interval. Let C(I, E) be the space of continuous functions, endowed with the sup-norm denoted by ‖ · ‖ I and denote by Ck(I, E), k ≥ 1, the subspace of functions having a continuous derivative of order k on I. If φ : I → ℝ and w ∈ E we denote by φw, the function (φw)(x) = φ(x)w.
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© 2004 Birkhäuser Boston
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Păltănea, R. (2004). Approximation Operators for Vector-Valued Functions. In: Approximation Theory Using Positive Linear Operators. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2058-9_6
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DOI: https://doi.org/10.1007/978-1-4612-2058-9_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4350-8
Online ISBN: 978-1-4612-2058-9
eBook Packages: Springer Book Archive