Results 81 to 90 of about 755,651 (259)
A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity
We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function ...
Chunmiao Huang +2 more
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Abstract Background Low‐value care remains prevalent in bronchiolitis management despite evidence‐based guidelines. De‐implementation initiatives face unique challenges compared with traditional implementation efforts, particularly when spreading across diverse healthcare settings.
Nathan M. Solbak +7 more
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A generalized Jensen’s inequality [PDF]
To, Ting On, Yip, Kai Wing
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On Maligranda's Generalization of Jensen's Inequality
Using some results of Maligranda, we obtain a generalization of the well known Jensen's inequality which is also a common generalization of inequalities of Hölder and Minkowski.
Pečarić, Josip, Veljan, Darko
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Refinements of discrete and integral Jensen inequalities with Jensen’s gap
AbstractMotivated by a paper of Dragomir, we give new refinements for both discrete and integral Jensen inequalities using the Jensen’s gap. As applications, we give refinements of various inequalities verifiable by Jensen’s inequality. Topics covered: norms, quasi-arithmetic means, Hölder’s inequality andf-divergences in information theory.
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Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri +3 more
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A FURTHER IMPROVEMENT OF JENSEN'S INEQUALITY
A FURTHER IMPROVEMENT OF JENSEN'S INEQUALITY
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On Some Refinements of Jensen's Inequality
The authors use reverse martingale techniques based on \(U\)-statistics to provide refinements of Jensen's inequality and improvements of some existing inequalities in analysis and approximation theory. A link is established with the subject of sampling with probability proportional to size, which in turn shows how to provide further refinements of the
Khan, Mohammad Kazim, Hanif, Muhammad
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