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Approximation Operators for Vector-Valued Functions

  • Radu Păltănea

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 C k (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.

Keywords

Banach Space Approximation Operator Convex Operator Linear Positive Operator Real Argument 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2004

Authors and Affiliations

  • Radu Păltănea
    • 1
  1. 1.Department of MathematicsTransilvania UniversityBraşovRomania

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