Given the assumptions of sparsely distributed reflectivity and Gaussian noise, we conclude that the mixed L 1 norm (reflectivity) L 2 -norm (noise) performs best. However, the problems inherent to single-trace deconvolution techniques, for example the problem of generating spurious events, remain....
approximationHermite interpolationLp-normLp-approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected....
摘要: Relying on Taylor''s formula with an integral remainder, an integral is estimated in terms of the Lp-norm of the (n+1)st derivative of its integrand. In this way, Iyengar''s inequality and a number of other useful inequalities are generalized....
The path of this location estimate for an lp-norm is found as p goes from 1 to infinity. This path indicates how critical the selection of an exponent is. An alternative proof of Descartes's rule of signs, applied to exponential sums, limits the number of repeated exponents for the same...
Szal, On trigonometric approximation of function in Lp the norm, arxiv.org:1205.5869v1 [math.CA] 26 May 2012.P. Chandra, Trigonometric approximation of functions in Lp-norm, J. Math. Anal. Appl. 275 (1) (2002) 13-26.Chandra P., Trigonometric approximation of functions in Lp-norm, J...
lpnormReservoir prediction is often a primary objective in seismic exploration, especially for deep hydrocarbon detection with its potential for assessing oil and gas resources. Time–frequency analysis has become a successful method for detecting subsurface features and can also be used to identify ...
We prove Itô’s formula for the L p -norm of a stochastic \({W^{1}_{p}}\) -valued processes appearing in the theory of SPDEs in divergence form.The work was partially supported by NSF Grant DMS-0653121.Page %P Close Plain text Look Inside Article Metrics Citations Other ...
摘要: In this paper, the Lp-norm uniform distribution, which is a generalization of the uniform distribution studied by Cambanis, Huang, and Simon (1981), is defined for any p > 0. Then its marginal distributions and order statistics are studied....
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Also, radon transform, an essential technique for attenuating multiple reflections, has been widely incorporated into various commercial software packages. Thus, this study introduces a 3D radon transform method based on the ${L_{p - 1}}$ norm to enhance sparsity-constraining capability in the ...