Hölderian convergence of fractional extended nabla operator to fractional derivative

2019/04/15 by Khitri-Kazi-Tani, L., Dib, H.
#26A33 #39A70 #46E15 #47A60 #47B38 #97N50 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1904.06884

Abstract

In this paper, we construct the fractional extended nabla operator as fractional power of linear spline of backward difference operator. Then we prove the strong convergence of this operator to fractional derivative in a Hölder space setting. Finally numerical examples are presented.

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