Abstract
We analyze sampling and average sampling techniques for fractional spline subspaces of Fractional B-splines
are extensions of Schoenberg’s polynomial splines of integral order to real order
We present the interpolation with fundamental splines of fractional order for
and the average sampling with fundamental splines of fractional order for
Further, we generalize Kramer’s lemma in the context of local average sampling.
Acknowledgment
The third author thanks the management of Sri Sivasubramaniya Nadar College of Engineering.