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Integrals Refining Convex Inequalities
Bulletin of the Malaysian Mathematical Sciences Society, 2019The authors prove that, if \(\Phi:\mathcal{B}(\mathcal{H})\rightarrow\mathcal{B}(\mathcal{K})\) is a normalized positive linear map, \(A\in\mathcal{B}(\mathcal{H})\) is a self-adjoint operator with the spectrum in \(J\), and \(f:J\rightarrow\mathbb{R}\) is a convex function, then \begin{align*} f\left(\frac{\langle\Phi(A)x, x\rangle+\langle\phi(A)y, y ...
Mohammad Sababheh +2 more
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Symmetrization and Integral Inequalities
Mathematical Notes, 2023This paper offers a comprehensive investigation into Steiner symmetrizations applied to anisotropic integral functionals within the multivariate calculus of variations, with a specific focus on functions belonging to the Sobolev class and characterized by compact support.
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Applied Mathematics and Computation, 2018
This paper addresses the problem of extended dissipative estimator design for uncertain switched neural networks (SNNs) with mixed time-varying delays and general activation functions.
Wenqian Xie +5 more
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This paper addresses the problem of extended dissipative estimator design for uncertain switched neural networks (SNNs) with mixed time-varying delays and general activation functions.
Wenqian Xie +5 more
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Integral inequalities resembling Copson's inequality
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990AbstractThe present paper deals with two inequalities which resemble Copson's integral inequalities. From our theorems, we obtain two interesting corollaries.
Mohapatra, R. N., Vajravelu, K.
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Mathematical methods in the applied sciences, 2018
In this paper, the problem of nonfragile stabilization for uncertain systems with interval time‐varying delays via new double integral inequality approach is studied.
R. Samidurai +3 more
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In this paper, the problem of nonfragile stabilization for uncertain systems with interval time‐varying delays via new double integral inequality approach is studied.
R. Samidurai +3 more
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2000
Some integral inequalities of the following type are proved: Suppose \(f\) has a continuous \(n\)th order derivative on \([a,b]\); \(f^{(i)}(a)\geq 0\) and \(f^{(n)}(x)\geq n!\) for all \(x\in [a,b]\) and \(0\leq i\leq n-1\). Then \[ \int^b_a [f(x)]^{n+2} dx\geq \Biggl[\int^b_a f(x) dx\Biggr]^{n+ 1}. \] An open problem is also stated.
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Some integral inequalities of the following type are proved: Suppose \(f\) has a continuous \(n\)th order derivative on \([a,b]\); \(f^{(i)}(a)\geq 0\) and \(f^{(n)}(x)\geq n!\) for all \(x\in [a,b]\) and \(0\leq i\leq n-1\). Then \[ \int^b_a [f(x)]^{n+2} dx\geq \Biggl[\int^b_a f(x) dx\Biggr]^{n+ 1}. \] An open problem is also stated.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Antibiofilm activity of host defence peptides: complexity provides opportunities
Nature Reviews Microbiology, 2021, Morgan A Alford, Evan F Haney
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