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References
Hille, E. andPhillips, R. S.,Functional Analysis and Semi-groups, Amer. Math. Soc. Colloquium Publ., 31, Providence, R.I., 1957.
Hille, E.,On the Landau-Kallman-Rota Inequality, J. Approximation Theory6, 117–122 (1972).
Gindler, H. A. andGoldstein, J. A. Dissipative Operator Versions of Some Classical Inequalities. J. Analyse Math. (to appear).
Kallman, R. R. andRota, G. C.,On the Inequality ∥f′∥ 2 ⩽4∥f∥ ∥f″∥, Inequalities Vol. II, 187–191 (Academic Press, New York, 1970).
Kolmogorov, A. N.,On Inequalities Between the Upper Bounds of the Successive Derivatives of an Arbitrary Function on an Infinite Interval, Ucen. Zap. Moskov. Gos. Unive., Math30, 3–16 (1939) (Amer. Math. Soc. Transl. 4, New York, 233–243, American Mathematical Society, 1949).
Peetre, J.,A Theory of Interpolation of Normed Spaces, Notas Mat., No. 39, Brasil, 1968.
Schoenberg, I. J. andCavaretta, A.,Solution of Landau's Problem Concerning Higher Derivatives on the Half Line, Proceedings of the International Conference on Constructive Function Theory, Varna, May 19–25, 1970, 297–308.
Schoenberg, I. J.,The Elementary Cases of Landau's Problem of Inequalities Between Derivatives, Amer. Math. Monthly80, 121–158 (1973).
Stein, E. M.,Functions of Exponential Type, Ann. of Math.65, 582–592 (1957).
Stechkin, S. B.,Inequalities Between the Upper Bounds of the Derivatives of an Arbitrary Function on the Half Line, Mat. Zametki1, 665–764 (1967), (Math. Notes, 1, 442–447).
Upton, C. J. F.,On Extensions of Inequalities of Kolmogoroff and Others and Some Applications to Almost Periodic Functions, Glasgow Math. J., J., 1–16 (1972).
Zaanen, A. C.,Linear Analysis (North Holland Publ. Co., 1964).
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This work was supported in part by NRC Grant A4816.
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Ditzian, Z. Some remarks on inequalities of Landau and Kolmogorov. Aeq. Math. 12, 145–151 (1975). https://doi.org/10.1007/BF01836544
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DOI: https://doi.org/10.1007/BF01836544