Abstracts of the 49th EASD (European Association for the Study of Diabetes) Annual Meeting. September 23-27, 2013. Barcelona, Spain. [PDF]
Diabetologia, 2013 europepmc +1 more source
Three random variable transformations giving Heisenberg-type uncertainty relations
Though intrinsically probabilistic, the 1927 quantum mechanics Heisenberg uncertainty relation is still non-existent as a native Kolmogorov probability construct. This paper fills the gap via three random variable transformations that generate Heisenberg-
D'Angiò, Roberto
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Periodic traveling waves in integrodifferential equations for nonlocal Dispersal
, 2014 Sherratt, Jonathan A.
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Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials
Studia Scientiarum Mathematicarum Hungarica, 2021 In this paper, we establish some Landau–Kolmogorov type inequalities for differential operators generated by polynomials in the following formfor all , where 0 < g ≤ p ≤ ∞, and the differential operator P (D) is obtained from the polynomial P (x) by substituting . Moreover, the explicit form of and are given.
Vu Nhat Huy +2 more
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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
exaly +3 more sources
Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment
Ukrainian Mathematical Journal, 2001 For 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 ...
Бабенко, Ю.В.
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Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane
Potential Analysis, 2012 We prove that a compact subset of the complex plane satisfies a local Markov inequality if and only if it satisfies a Kolmogorov type inequality. This result generalizes a theorem established by Bos and Milman in the real case.
Leokadia Białas-Cież +3 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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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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