Results 31 to 40 of about 478,342 (163)
Convex inequalities and their applications to relative operator entropies [PDF]
arXiv, 2022 A considerable amount of literature in the theory of inequality is devoted to the study of Jensen's and Young's inequality. This article presents a number of new inequalities involving the log-convex functions and the geometrically convex functions. As their consequences, we derive the refinements for Young's inequality and Jensen's inequality.
arxiv
The hermite-hadamard type inequalities for operator s-convex functions [PDF]
, 2014 In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.Comment: 11 ...
Ghazanfari, Amir Ghasem
core +1 more source
Journal of Function Spaces, 2016 The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
doaj +1 more source
Reverses of operator Aczél inequality [PDF]
, 2017 In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\'el inequality dealing with the weighted geometric mean.
arxiv +1 more source
Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert spaces are given.
Dragomir, Sever S
core +2 more sources
Advancement of numerical radius inequalities of operator and product of operators [PDF]
arXiv, 2023 In this article, we proved upper bounds for numerical radius of bounded linear operator and product of operators which generalize and improve existing inequalities. We also obtain a numerical radius inequality of invertible operator using Kantorovich's ratio.
arxiv
Some operator Bellman type inequalities
, 2015 In this paper, we employ the Mond--Pe\v{c}ari\'c method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} \delta I_{\mathscr K}+\sum_{j=1}^n\omega_j\Phi_j\left((I_{\mathscr H}-
Bakherad, Mojtaba, Morassaei, Ali
core +1 more source
High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator [PDF]
, 2013 In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied.
Ekincioglu, I., Keskin, C., Sayan, H. H.
core +2 more sources
Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Mathematics, 2019 Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman +4 more
doaj +1 more source
Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
Journal of Inequalities and Applications, 2020 The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq +5 more
doaj +1 more source