On inequalities for differential operators
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- by Richard Bellman PDF
- Proc. Amer. Math. Soc. 9 (1958), 589-597 Request permission
Abstract:
In this paper we study the following problem: Given that certain functionals of $u$ and its derivatives belong to given L-classes over the infinite interval, what can be said about the L-classes of other functionals? Utilizing a simple device from the theory of linear differential equations, we obtain a number of results due to Landau, Kolmogoroff, Halperin-von Neumann, and Nagy, together with some extensions.References
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Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 589-597
- MSC: Primary 26.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0110771-5
- MathSciNet review: 0110771