Results 31 to 40 of about 469,933 (190)

Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
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Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
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Inequality and majority rule

Analysis, 2020
AbstractI provide a novel argument in favour of majority rule. In particular, I consider the distribution of voter satisfaction in response to the outcome of a vote and prove that under certain conditions majority rule minimizes the level of inequality present in the distribution of voter satisfaction.
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Generalized Log-Majorization and Multivariate Trace Inequalities [PDF]

Annales Henri Poincaré, 2017
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)] for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of
Hiai, Fumio, König, Robert, Tomamichel, Marco   +2 more
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A necessary and sufficient condition for the inequality of generalized weighted means

Journal of Inequalities and Applications, 2016
We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
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Some inequalities and majorization for products of τ-measurable operators

Journal of Inequalities and Applications, 2022
In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators.
Zahra Maleki Khouzani, Seyed Mahmoud Manjegani   +1 more
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Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

Mathematics
In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
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Jensen's Inequality and majorization

, 2004
Let $\mathcal{A}$ be a $C^*$-algebra and $ϕ:\cA\to L(H)$ be a positive unital map. Then, for a convex function $f:I\to \mathbb{R}$ defined on some open interval and a self-adjoint element $a\in \mathcal{A}$ whose spectrum lies in $I$, we obtain a Jensen's-type inequality $f(ϕ(a)) \leq ϕ(f(a))$ where $\le$ denotes an operator preorder (usual order ...
Antezana, Jorge, Massey, Pedro, Stojanoff, Demetrio   +2 more
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Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction

Mathematics, 2023
The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani, Ahmad Motamednezhad, Mostafa Jafari, Teodor Bulboacă   +3 more
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Refinements of the Lower Bounds of the Jensen Functional

Abstract and Applied Analysis, 2011
The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization ...
Iva Franjić, Sadia Khalid, Josip Pečarić   +2 more
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