Results 51 to 60 of about 512,435 (325)
Integral inequalities related to Hardy's inequality
Aequationes Mathematicae, 1985 Hardy's classical inequality \[ \int^{\infty}_{0}(x^{-1}F(x))^ pdx\leq (p/(p-1))^ p\int^{\infty}_{0}(f(x))^ pdx, \] where \(f\geq 0\), \(F(x)=\int^{x}_{0}f(t)dt\) and ...
Mohapatra, R.N., Russel, D.C.
openaire +3 more sources
Neural Network Adaptive Control With Long Short‐Term Memory
International Journal of Adaptive Control and Signal Processing, EarlyView.ABSTRACT In this study, we propose a novel adaptive control architecture that provides dramatically better transient response performance compared to conventional adaptive control methods. This is accomplished by the synergistic employment of a traditional adaptive neural network (ANN) controller and a long short‐term memory (LSTM) network.
Emirhan Inanc +4 more
wiley +1 more source
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
doaj +1 more source
On a Local Mean Oscillation Decomposition [PDF]
, 2012 In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'{o}n-Zygmund singular integral operators $T$. These applications rely on the inequality $M^{\sharp}_{0,s}(Tf)
Poelhuis, Jonathan, Torchinsky, Alberto
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Advanced Biology, EarlyView.The glomerular filtration barrier (GFB) is the first step of blood filtration by the kidneys. The concerning increase of kidney diseases makes the development of new models essential. In this context, microphysiological glomerular filtration barriers focus on closely reproducing the physiological architecture of the in vivo GFB: podocytes, glomerular ...
Manon Miran +5 more
wiley +1 more source
A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S +2 more
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Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality
, 2013 We give a short summary of Varopoulos' generalised Hardy-Littlewood-Sobolev inequality for self-adjoint $C_{0}$ semigroups and give a new probabilistic representation of the classical fractional integral operators on $\R^n$ as projections of martingale ...
Applebaum, David, Banuelos, Rodrigo
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Advanced Functional Materials, EarlyView.PerFluoroAlkyl Substances (PFAS) are responsible of major and persistent environmental pollution worldwide. This work demonstrates an ultra‐sensitive sensor for PFAS based on an organic transistor whose gate is functionalized with a binary self‐assembled monolayer containing a perfluorinated molecule.
Rian Zanotti +8 more
wiley +1 more source
On New Extensions of Hilbert's Integral Inequality
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications,
He Leping, Gao Mingzhe, Zhou Yu
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Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
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