Results 31 to 40 of about 40,929 (275)
AIMS Mathematics, 2022 In this paper, we have established some new Hermite–Hadamard–Mercer type of inequalities by using κ–Riemann–Liouville fractional integrals. Moreover, we have derived two new integral identities as auxiliary results.
Miguel Vivas-Cortez +5 more
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality ...
Karthikeyan K., Ahmad Bashir
doaj +1 more source
Refined estimates and generalization of some recent results with applications
AIMS Mathematics, 2021 In this paper, we firstly give improvement of Hermite-Hadamard type and Fej$ \acute{e} $r type inequalities. Next, we extend Hermite-Hadamard type and Fej$ \acute{e} $r types inequalities to a new class of functions.
Aqeel Ahmad Mughal +4 more
doaj +1 more source
AIMS Mathematics, 2021 This paper deals with introducing and investigating a new convex mapping namely, n-polynomial exponentially s-convex. Here, we present some algebraic properties and some logical examples to validate the theory of newly introduced convexity.
Muhammad Tariq +4 more
doaj +1 more source
Mathematics in Engineering, 2022 We are concerned with the uniqueness of mild solutions in the critical Lebesgue space $ L^{\frac{n}{2}}(\mathbb{R}^{n}) $ for the parabolic-elliptic Keller-Segel system, $ n\geq4 $.
Lucas C. F. Ferreira
doaj +1 more source
Some integral inequalities for generalized preinvex functions with applications
AIMS Mathematics, 2021 The main objective of this work is to explore and characterize the idea of s-type preinvex function and related inequalities. Some interesting algebraic properties and logical examples are given to support the newly introduced idea.
Muhammad Tariq +3 more
doaj +1 more source
Estimating an endpoint with high order moments in the Weibull domain of attraction [PDF]
, 2012 International audienceWe present a method for estimating the endpoint of a unidimensional sample when the distribution function belongs to the Weibull-max domain of attraction.
Girard, Stéphane +2 more
core +3 more sources
Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities [PDF]
arXiv, 2021 We give improvements and generalizations of both the classical Hardy inequality and the geometric Hardy inequality based on the divergence theorem. Especially, our improved Hardy type inequality derives both two Hardy type inequalities with best constants. Besides, we improve two Rellich type inequalities by using the improved Hardy type inequality.
arxiv
FEBS Open Bio, EarlyView.This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi +2 more
wiley +1 more source
Concentration Inequalities for Markov Jump Processes [PDF]
arXiv, 2022 We derive concentration inequalities for empirical means $\frac{1}{t} \int_0^t f(X_s) ds$ where $X_s$ is an irreducible Markov jump process on a finite state space and $f$ some observable. Using a Feynman-Kac semigroup we first derive a general concentration inequality. Then, based on this inequality we derive further concentration inequalities. Hereby
arxiv