Results 1 to 10 of about 441 (257)
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
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.
Abdul Basir +5 more
doaj +3 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 +3 more
doaj +2 more sources
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.
Shanhe Wu +2 more
doaj +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 +5 more
doaj +2 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
doaj +2 more sources
Slepian’s inequality with respect to majorization
Linear Algebra and Its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Longxiang Fang
exaly +3 more sources
Some majorization integral inequalities for functions defined on rectangles [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu +3 more
doaj +2 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
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 +4 more
doaj +1 more source