Numerical methods: interpolation and function approximation · Introduction

Introduction

What this guide covers

Introduction Scientific Calculus · Applied Mathematical Analysis

Overview

Topics covered

Introduction
Interpolation and Approximation of Functions
Fundamentals and Theoretical Introduction
Weierstrass Approximation Theorem
Function Spaces and Associated Standards
Lagrange Polynomial Interpolation

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

\text{Sea } f \in C[a,b]. \quad \forall \varepsilon > 0, \;\; \exists \, P_n(x) \in \mathcal{P}_n \text{As such that} \sup_{x \in [a,b]} |f(x) - P_n(x)| < \varepsilon

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\text{Sea } f \in C[a,b]. \quad \forall \varepsilon > 0, \;\; \exists \, P_n(x) \in \mathcal{P}_n \text{As such that} \sup_{x \in [a,b]} |f(x) - P_n(x)| < \varepsilon