This is a preview of subscription content, log in via an institution to check access.
References
A. S. Cavaretta, Jr., An elementary proof of Kolmogorov's theorem,Amer. Math. Monthly 81 (1974), 480–486.MR 49#5269.
C. K. Chui andP. W. Smith, A note on Landau's problem for bounded intervals,Amer. Math. Monthly 82 (1975), 927–929.
A. Gorny, Contribution à l'étude des fonctions dérivables d'une variable réelle,Acta Math. 71 (1939), 317–358.Zbl 22, 154.
E. Landau, Einige Ungleichungen für zweimal differentzierbare Funktionen,Proc. London Math. Soc. 13 (1913), 43–49.
E. Landau, Die Ungleichungen für zweimal differentzierbare Funktionen,Danske Vid. Selsk. Math. Fys. Medd. 6 (1925), No. 10, 49 pages.
I. J. Schoenberg, The elementary cases of Landau's problem of inequalities between derivatives,Amer. Math. Monthly 80 (1973), 121–158.MR 47#3619
I. J. Schoenberg, andA. S. Cavaretta, Solution of Landau's problem concerning higher derivatives on the half-line, MRC TSR 1050 Madison, Wisconsin, 1970. (AlsoKonstruktivn. Teorija Funkciî, Tr. Meždunar. Konf. (Zolotye Peski, Varna, (1970), Sofia, 1972, 297–308.)MR 51#5868
A. Sharma andJ. Tzimbalario, Classes of functions defined by differential inequalities.J. Math. Analysis and Appl. 61 (1977), 122–135.
A. Sharma andJ. Tzimbalario, Landau-type inequalities for some linear differential operators,Illinois J. Math. 20 (1976), 443–455.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sharma, A., Tzimbalario, J. Landau-type inequalities for bounded intervals. Period Math Hung 9, 175–186 (1978). https://doi.org/10.1007/BF02018085
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02018085