![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_open_medium.gif)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltext_restricted_medium.gif)
Multi-Dimensional Landau Extremum Problems
Subscribe/Renew Journal
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.
‖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.
Subscription
Login to verify subscription
User
Font Size
Information
![](https://i-scholar.in/public/site/images/abstractview.png)
Abstract Views: 212
![](https://i-scholar.in/public/site/images/pdfview.png)
PDF Views: 0