This paper deals with a new generalization of the Garfunkel-Bankoff inequality by introducing a parameter, which relaxes the conditions of the Garfunkel-Bankoff inequality. As applications, an improved version of the Finsler-Hadwiger inequality is obtained.
Finsler interpolation inequalities
✍ Scribed by Shin-ichi Ohta
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 544 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0944-2669
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📜 SIMILAR VOLUMES
The generalized Vandermonde determinant and the generalized interpolation polynomial are defined. We establish inequalities involving generalized interpolation polynomials under the proper hypotheses. Our main result is: . The approach used is able to combine algebraic and analytical theories.
## Abstract We consider some elementary proofs of local versions of CLARKSON's inequalities and point out the fact that these inequalities can be generalized to hold for a much wider class of parameters. In particular it is easy to generalize our interpolation proof in various ways to higher dimens