Geodesic
Relations between upper bounds of absolute values of functions and their higher derivatives
Matematičeskie zametki, Tome 14 (1973) no. 3, pp. 329-338 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider functions $f(t)$, $-\infty, which are $n$ times continuously differentiable with a given convex modulus of continuity of the $n$-th derivative. For a certain class of periodic functions we establish a relationship between upper bounds of the absolute values of a function and its $n$-th derivative. 
@article{MZM_1973_14_3_a2,
     author = {G. V. Kirsanova},
     title = {Relations between upper bounds of absolute values of functions and their higher derivatives},
     journal = {Matemati\v{c}eskie zametki},
     pages = {329--338},
     year = {1973},
     volume = {14},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/}
}
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G. V. Kirsanova. Relations between upper bounds of absolute values of functions and their higher derivatives. Matematičeskie zametki, Tome 14 (1973) no. 3, pp. 329-338. http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/