Results 61 to 70 of about 70,661 (238)
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Open Mathematics, 2018 In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed +2 more
doaj +1 more source
A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
wiley +1 more source
IEEE Access, 2017 Unlike the traditional analysis and synthesis approach of a switched system that requires a monotonic decrease of Lyapunov function (LF), this paper investigates an N-step-ahead LF approach.
Yun Xie +3 more
doaj +1 more source
PLoS ONE, 2021 The determination of the relation between a number and a numerical interval is one of the core problems in the scientific calculation of privacy protection.
Shaofeng Lu, Yuefeng Lu, Ying Sun
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The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]
, 1998 We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Dragomir, Sever S +2 more
core
HARDY INEQUALITIES FOR p-WEAKLY MONOTONE FUNCTIONS
Eurasian Mathematical Journal, 2023 Summary: We prove Hardy-type inequalities \[\left(\int_d^\infty\left|\int_d^s f(x)dx\right|^p s^\beta ds\right)^{1/p}\leqslant C\left(\int_d^\infty|f(s)|^qs^\alpha ds\right)^{1/q}\] for the class of \(p\)-weakly monotone functions with \(q\) or \(p\) smaller than 1 and \(d\geqslant 0\).
openaire +2 more sources
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Optimal integrability in B^q_p classes
Le Matematiche, 1997 Equations for the best integrability exponent, for monotonic functions in one-dimensional Gehring and Muckenhoupt classes, are unified in more general Reverse Holder Inequality classes.
Arturo Popoli
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Nonexistence of nonnegative solutions for parabolic inequalities in the half-space
Electronic Journal of Differential Equations, 2018 Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solutions for the quasilinear parabolic inequality $u_t-\Delta_p u\ge u^q$. Also we study generalizations in the half-space in terms of parameters p and q.
Evgeny I. Galakhov +2 more
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