The Discrete Analogue of the Operator $d^{2m}/dx^{2m}$ and its Properties
arXiv:1001.05561.26 citations
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This is a theoretical contribution for mathematicians working on discrete analogues of differential operators, but it is incremental as it extends known constructions.
The paper constructs a discrete analogue of the differential operator d^{2m}/dx^{2m} and proves new properties of this operator.
In this paper the discrete analogue $D_m[β]$ of the differential operator $d^{2m}/dx^{2m}$ is constructed and its some new properties are proved.