Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces
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Abstracts from the 39th Congress of the Société Internationale d'Urologie, Athens, Greece, October 17-20, 2019. [PDF]
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Abstracts of the 49th EASD (European Association for the Study of Diabetes) Annual Meeting. September 23-27, 2013. Barcelona, Spain. [PDF]
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Landau-kolmogorov-hörmander inequalities on the semiaxis
Mathematical Notes, 1999The problem of the asymmetric ideal spline least deviating from zero in the \(C[a,b]\)-metric is solved. The authors prove the Landau-Kolmogorov-Hörmander inequalities for the norms of positive and negative parts of intermediate derivatives of functions on the semiaxis that take into account restrictions on the positive and negative part of the higher ...
V F Babenko, V A Kofanov, S A Pichugov
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One Inequality of the Landau–Kolmogorov Type for Periodic Functions of Two Variables
Ukrainian Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V F Babenko, Babenko V F
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Landau-Kolmogorov and Related Inequalities
1991Let f be a real function with n derivatives on an interval I of the real line. Define $${M_k}(p,I) = \parallel {f^{(k)}}{\parallel _p},\quad 0 \leqslant k \leqslant n.$$
D. S. Mitrinović +2 more
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Multivariate Landau–Kolmogorov-type inequality
Mathematical Proceedings of the Cambridge Philosophical Society, 1989AbstractAssuming that the nth iterate of the Laplacian Δnf belongs to L∞(ℝ), we show for 0 < k < 2n thatwhere ∂/∂ξi is the derivative in the ei direction. The result is also extended to other Banach spaces of functions on ℝd.
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The sharp Landau–Kolmogorov inequality for the set ‖y′‖2, ‖y‖1, ‖y+′′‖∞ on the real line
Journal of Approximation Theoryexaly +3 more sources
Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment
Ukrainian Mathematical Journal, 2001For arbitrary \(t\in [0,1]\), \(p\in [1,\infty ]\) and \(A\geq 2\) the author finds the best possible constant \(B\) in the inequality \[ |x'(t)|\leq A\|x\|_{L_\infty [0,1]}+B\|x''\|_{L_p(0,1)}. \] This leads to the precise inequality for the norms \[ \|x'\|_\infty \leq \frac{2}{h}\|x\|_\infty +\left( \frac{h}{p'+1}\right)^{1/p'}\|x''\|_p \] valid for ...
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On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line
Ukrainian Mathematical Journal, 2000We prove inequalities of the Landau–Kolmogorov–Hormander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hormander result.
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