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Abstract

Let D ⊂ ℝN be a convex set, let f : D → ℝ be an arbitrary function, and let h ∈ ℝN be arbitrary. The difference operator Δh with the span h is defined by the equality
$$ \Delta _h f(x) = f(x + h) - f(x). $$
(15.1.1)
.

Keywords

Convex Function Polynomial Function Distinct Point Open Interval Baire Property 
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 Verlag AG 2009

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