Definition:Space of Real Polynomials of Degree n
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Definition
Let $\map C \R$ be the space of real-valued continuous functions.
Let $f \in \map C \R$ be a polynomial over real numbers of degree not greater than $n$.
Then the set of all such mappings $f$ is known as space of real polynomials of degree $\le n$ and is denoted by $\map {\PP_n} \R$:
- $\map {\PP_n} \R := \set {f : \R \to \R : \map \deg f \le n}$
Sources
- 2013 : Philippe G. Ciarlet: Linear and Nonlinear Functional Analysis with Applications: Main Notations