Results 1 to 10 of about 469,933 (190)

Slepian’s inequality with respect to majorization [PDF]

Linear Algebra and Its Applications, 2011
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Longxiang Fang
exaly   +4 more sources

Generalizations of Fano’s Inequality for Conditional Information Measures via Majorization Theory [PDF]

Entropy, 2020
Fano’s inequality is one of the most elementary, ubiquitous, and important tools in information theory. Using majorization theory, Fano’s inequality is generalized to a broad class of information measures, which contains those of Shannon and ...
Yuta Sakai
exaly   +4 more sources

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]

Entropy, 2023
In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj   +2 more sources

Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

Axioms, 2023
In the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities.
Muhammad Adil Khan, Thanin Sitthiwirattham, Yahya Almalki   +2 more
exaly   +3 more sources

Improvements of Integral Majorization Inequality with Applications to Divergences

Axioms, 2023
Within the recent wave of research advancements, mathematical inequalities and their practical applications play a notably significant role across various domains.
Abdul Basir, Muhammad Adil Khan, Hidayat Ullah, Yahya Almalki, Chanisara Metpattarahiran, Thanin Sitthiwirattham   +5 more
doaj   +2 more sources

Newton–Simpson-type inequalities via majorization

Journal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt, Iram Javed, Praveen Agarwal, Juan J. Nieto   +3 more
doaj   +2 more sources

Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

Mathematics, 2019
The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Muhammad Adil Khan, Shanhe Wu, Shanhe Wu   +2 more
exaly   +3 more sources

Discrete majorization type inequalities for convex functions on rectangles

Journal of Inequalities and Applications, 2019
In this paper, we present several discrete majorization type inequalities for the convex functions defined on rectangles.
Muhammad Adil Khan, Yuming Chu, Hidayat Ullah   +2 more
exaly   +3 more sources

Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]

Canadian Mathematical Bulletin, 2022
AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
openaire   +3 more sources

Refinements of Jensen’s Inequality via Majorization Results with Applications in the Information Theory

Journal of Mathematics, 2021
In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng, Hidayat Ullah, Muhammad Adil Khan, Sajid Iqbal, Shanhe Wu   +4 more
doaj   +1 more source