An algebraic theory of Landau-Kolmogorov inequalities
نویسندگان
چکیده
منابع مشابه
Kolmogorov-Landau Functions
‖f ‖ ≤ Crq ‖f‖ 1−q/r ‖f ‖ was proved by Kolmogorov in [11] for f ∈W r ∞(R). Here ‖ · ‖ means ‖ · ‖L∞(R) and the sharp constant Crq = Kr−qK −1+q/r r is given in terms of the Favard constants Kp := 4 π ∑∞ n=0 [ (−1) 2n+1 p+1 . For the definition of the Sobolev space W r ∞(R) see e.g. [4, Ch. 1.5]. The first results of this type (the case q = 1, r = 2) were obtained by Hadamard in [9] and by Landa...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1981
ISSN: 0040-8735
DOI: 10.2748/tmj/1178229405