Multi-Dimensional Landau Extremum Problems
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"–f'"–2≤4"–f"– "–f""– (+)
holds with norm referring to the space C[0,∞]. In this work we extend Landau's results and establish new multi-dimensional inequalities of Landau type for semigroups and cosine functions.
Abstract
Edmund Landau [5] initiated the following extremum problem: The sharp inequality between the supremum-norms of derivatives of twice differentiable functions f such that"–f'"–2≤4"–f"– "–f""– (+)
holds with norm referring to the space C[0,∞]. In this work we extend Landau's results and establish new multi-dimensional inequalities of Landau type for semigroups and cosine functions.
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Published
1999-12-01
How to Cite
Rassias, J. M. (1999). Multi-Dimensional Landau Extremum Problems. The Journal of the Indian Mathematical Society, 66(1-4), 11–16. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21908
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Copyright (c) 1999 J. M. Rassias
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