Geodesic
Certain linear differential operators and generalized differences
Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 161-172.

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The solution of the problem of finding the quantity $$ \sup\limits_{|\Delta^ny_k|\le1}\inf\limits_{\substack{f(k)=y_k\\(k=0,\pm1,\pm2,\dots)}}\|f^{(n)}(x)\|_{C(-\infty,\infty)}, $$ obtained by Subbotin, is extended to the case of formally self-adjoint differential operators with constant coefficients and corresponding generalized differences. 
@article{MZM_1977_21_2_a3,
     author = {A. Sharma and I. Tsimbalario},
     title = {Certain linear differential operators and generalized differences},
     journal = {Matemati\v{c}eskie zametki},
     pages = {161--172},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a3/}
}
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A. Sharma; I. Tsimbalario. Certain linear differential operators and generalized differences. Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 161-172. http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a3/