In this paper the discrete analogue $D_m[\beta]$ of the differential operator $d^{2m}/dx^{2m}$ is constructed and its some new properties are proved.
Construction of discrete analogue of the differential operator $\frac{d^4}{dx^4}+2\frac{d^2}{dx^2}+1$ and its properties
Properties of Discrete Analogue of the Differential Operator $\frac{d^{2m}}{dx^{2m}}-\frac{d^{2m-2}}{dx^{2m-2}}$
The discrete analogue of the differential operator $\frac{d^{2m}}{d x^{2m}} + 2ω^2\frac{d^{2m-2}}{d x^{2m-2}} + ω^4\frac{d^{2m-4}}{d x^{2m-4}}$
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