We give a new definition of the measure of a polynomial. This definition easily leads to a proof of Landau's inequality, \(\mathrm{M}(P) \leq\|P\|\), just using Hadamard's inequality. In the same way, it gives Jensen's formula for polynomials. It also allows us to produce an algorithm to compute the
✦ LIBER ✦
Stolarsky Means and Hadamard's Inequality
✍ Scribed by C.E.M. Pearce; J. Pečarić; V. Šimić
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 137 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
A generalization is given of the extension of Hadamard's inequality to r-convex functions. A corresponding generalization of the Fink᎐Mond᎐Pecaric inequalities ˇfor r-convex functions is established.
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