I understand you want to know about cubic interpolation methods "makima", "spline" and "pchip" and differences between them.
Please run the following command-
>> openExample('matlab/DataInterpolationComparisonExample')
This command will open the example "Data Interpolation with spline, pchip, and makima" showing comparison between these cubic interpolation methods.
Refer to the following documentation links for more information about these methods-