Results 81 to 90 of about 2,139,146 (371)
An Ostrowski Type Inequality for Convex Functions [PDF]
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
core +2 more sources
Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality
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
Protected Chaos in a Topological Lattice
Topological and chaotic dynamics are often considered incompatible, with one expected to dominate or disrupt the other. This work reveals that topological localization can persist even under strong chaotic dynamics and, counter‐intuitively, protect chaotic behavior.
Haydar Sahin+6 more
wiley +1 more source
Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan+3 more
doaj +1 more source
Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
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
Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal+2 more
core +1 more source
Refinement of an integral inequality [PDF]
In this study, we generalize and sharpen an integral inequality raised in theory for convex and star-shaped sets and relax the conditions on the integrand.
openaire +2 more sources
ON SOME INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS [PDF]
The main aim of the present paper is to establish some new Gronwall type inequalities involving iterated integrals and give some applications of the main results.
Dragomir, Sever S+2 more
openaire +2 more sources
This study introduces a neural operator‐assisted topology optimization framework for designing fluidic channel structures in mass transfer processes. By combining machine learning, gradient‐based optimization, and active data augmentation, the method enables high‐fidelity, efficient design.
Chenhui Kou+6 more
wiley +1 more source
Increasing sedentary time, minimum dietary energy requirements, and food security assessment
Abstract We compute corrections for sedentary behavior in physical activity levels (PALs) and incorporate them along with corrections for over estimation of basal metabolic rates (BMRs) into threshold caloric intakes, known as minimum dietary energy requirements (MDERs).
Jacob Michels+2 more
wiley +1 more source