In mathematics, the Landau–Kolmogorov inequality, named after Edmund Landau and Andrey Kolmogorov, is the following family of interpolation inequalities ...

17 авг. 2011 г. · Landau inequality is about the bounds of derivatives of a real(complex)-valued function defined on some interval of the real line. Proof of a Landau-inequality - Mathematics Stack Exchange Counterexample of multiplicative Landau inequality in finite interval Другие результаты с сайта math.stackexchange.com

Landau's inequality ∥y′∥2≦4∥y∥∥y″∥ is extended to ∥y′∥2≦K(a)∥y∥1−a ∥y″ ∣y∣a∥, K(a) = 4/(l−a), 0≦ a<1. The proof is elementary and new even in the case a = 0 ...

In the present paper we obtain two inequalities which generalize. Landau's Inequality, π(2x) ⩽ 2π(x) for any integer x ⩾ 2. Also, we obtain the inequality.

We survey known results on the best constants in Landau's Inequality relating norms of a function y and its first two derivatives y′, y″ and between a ...

In this note, we study Landau–Kolmogorov problem in Lp norm on a given finite interval ½a; b for r ¼ 2 and 3. Our result is related to a previous publication [3] ...

Let ||f|| be the supremum of |f(x)|, a real-valued function f defined on (0,infty). If f is twice differentiable and both f and f^('') are bounded, Landau ...

A sharp Landau-Kolmogorov inequality on a finite interval is proved. The proof yields the known Landau-Kolmogorov inequality on A as a limiting case, and thus.

29 окт. 2012 г. · The Landau-Kolmogorov problem consists of finding the upper bound M_k for the norm of intermediate derivative |f^{(k)}|, when the bounds |f| \le M_0 and |f^{(n ...

ABSTRACT. The best constants for Landau's inequality with the classical p- norms are known explicitly only when p = 1, 2 and oo. This is true for both the.