Geodesic
Conditions under which higher derivatives belong to the classes $\varphi(L)$
Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 479-486.

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In this work we will establish a sufficient condition under which the higher derivatives of $2\pi$-periodic absolutely continuous functions belong to the Orlicz classes $\varphi(L)$; if $\varphi(2t)=O(\varphi(t))$ $(t\to\infty)$, the condition is also necessary. 
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     author = {N. Temirgaliev},
     title = {Conditions under which higher derivatives belong to the classes $\varphi(L)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {479--486},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/}
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N. Temirgaliev. Conditions under which higher derivatives belong to the classes $\varphi(L)$. Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 479-486. http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/