Results 61 to 70 of about 2,194,406 (379)
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
core
Some Integral Inequalities [PDF]
Proceedings of the American Mathematical Society, 1962 1. The purpose of this paper is to present a general integral inequality concerning subadditive functions and to make applications of this inequality. The applications pertain to relations among integrals involving first and second differences of LP functions.
openaire +2 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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
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
core
New refinements for integral and sum forms of Hölder inequality [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
I. Işcan
semanticscholar +1 more source
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
doaj +1 more source
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
core +1 more source
A sharp double inequality involving generalized complete elliptic integral of the first kind
, 2020 In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.
Tie-hong Zhao, Miao-Kun Wang, Y. Chu
semanticscholar +1 more source