منابع مشابه
How Sharp Is Bernstein’s Inequality for Jacobi Polynomials?
Bernstein’s inequality for Jacobi polynomials P (α,β) n , established in 1987 by P. Baratella for the region R1/2 = {|α| ≤ 1/2, |β| ≤ 1/2}, and subsequently supplied with an improved constant by Y. Chow, L. Gatteschi, and R. Wong, is analyzed here analytically and, above all, computationally with regard to validity and sharpness, not only in the original region R1/2, but also in larger regions ...
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[1] Ten years of high-resolution radiosonde data are contrasted with fifteen years of ECMWF reanalysis (ERA) data to explore the tropopause region above two midlatitude stations (Munich and Stuttgart) in Southern Germany. We present time-averaged vertical profiles of several meteorological parameters relative to the tropopause. A strong mean inversion at the tropopause is evident from the radio...
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Consider a measurement matrix A of size n×N , with n < N , y a signal in RN , and b = Ay the observed measurement of the vector y. From knowledge of (b, A), compressed sensing seeks to recover the k-sparse x, k < n, which minimizes ‖b − Ax‖. Using various methods of analysis — convex polytopes, geometric functional analysis, and the restricted isometry property (RIP) — it has been proven that x...
متن کاملThe Sharp Energy-capacity Inequality
Using the Oh–Schwarz spectral invariants and some arguments of Frauenfelder, Ginzburg, and Schlenk, we show that the π1-sensitive Hofer– Zehnder capacity of any subset of a closed symplectic manifold is less than or equal to its displacement energy. This estimate is sharp, and implies some new extensions of the Non-Squeezing Theorem.
متن کاملJensen Inequality with Subdifferential for Sugeno Integral
The classical Jensen inequality for concave function φ is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2015
ISSN: 1029-242X
DOI: 10.1186/s13660-015-0591-x