Norm inequalities for derivatives and differences
Conference
·
OSTI ID:5705132
Norm inequalities of product form relating a function and two of its derivatives and a sequence and two of its differences are discussed and compared. This paper contains a discussion of the possible values of the p and q norms of a function y and its n/sup th/ derivative y/sup (n)/. Detailed elementary proofs of the basic inequality for functions and a number of related inequalities are also given. A discussion of the growth at infinity of derivatives and a summary of cases when the best constant is known explicitly for both the continuous and the discrete versions of the basic inequality are finally discussed. 85 refs., 2 figs., 1 tab.
- Research Organization:
- Northern Illinois Univ., Dekalb (USA). Dept. of Mathematical Sciences; Argonne National Lab., IL (USA)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 5705132
- Report Number(s):
- CONF-8707135-1; ON: DE88002920
- Country of Publication:
- United States
- Language:
- English
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