PRODUCTS
Products Overview
Mathematica
Mathematica for Students
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
SUPPORT
Support Overview
Knowledge Base
Learning Center
Community & Forums
Training & Free Seminars
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Data Manipulation
>
Numerical Data
>
Curve Fitting & Approximate Functions
>
FunctionInterpolation
>
Mathematica
>
Data Manipulation
>
Statistical Data Analysis
>
Curve Fitting & Approximate Functions
>
FunctionInterpolation
>
Mathematica
>
Mathematics and Algorithms
>
Statistical Data Analysis
>
Curve Fitting & Approximate Functions
>
FunctionInterpolation
>
BUILT-IN MATHEMATICA SYMBOL
Approximate Functions and Interpolation
Tutorials »
|
Interpolation
ListInterpolation
InterpolatingPolynomial
Table
InterpolatingFunction
See Also »
|
Curve Fitting & Approximate Functions
More About »
FunctionInterpolation
FunctionInterpolation
evaluates
expr
with
x
running from
to
and constructs an
InterpolatingFunction
object which represents an approximate function corresponding to the result.
FunctionInterpolation
constructs an
InterpolatingFunction
object with several arguments.
MORE INFORMATION
You can use
FunctionInterpolation
to generate a single
InterpolatingFunction
object from an expression containing several such objects.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Computes an
InterpolatingFunction
representation of
Exp
[-
Sin
[
x
]^2]
:
Use the resulting function as any function:
Computes an
InterpolatingFunction
representation of
Exp
[-
Sin
[
x
]^2]
:
In[1]:=
Out[1]=
Use the resulting function as any function:
In[2]:=
Out[2]=
Scope
(1)
Use derivatives to improve the smoothness of the approximation:
SEE ALSO
Interpolation
ListInterpolation
InterpolatingPolynomial
Table
InterpolatingFunction
TUTORIALS
Approximate Functions and Interpolation
MORE ABOUT
Curve Fitting & Approximate Functions
New in 3