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Refined Young Inequality and Its Application to Divergences [PDF]

open access: yesEntropy, 2021
We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
doaj   +2 more sources

Retrospective Perceptions of Income Inequality, School, and Neighborhood Conditions: Associations with Peer Victimization During Adolescence and Young Adulthood [PDF]

open access: yesBehavioral Sciences
Several immediate and distal social environmental factors work directly and indirectly with one another to contribute to multiple forms of peer victimization.
Joseph Cino   +4 more
doaj   +2 more sources

Perception of economic inequality and its association with depressive symptoms and suicide ideation among young adults in South Korea [PDF]

open access: yesBJPsych Open
Background Inequality can increase the risk of poor mental health. Objective measures explain the effects of socioeconomic disparities, but individuals may perceive inequality differently.
Minjae Choi   +5 more
doaj   +2 more sources

Further Operator and Norm Versions of Young Type Inequalities [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this note, first the better refinements of Young and its reverse inequalities for scalars are given. Then, several operator and norm versions according to these inequalities are established.
Leila Nasiri, Mehdi Shams
doaj   +1 more source

Refinements of numerical radius inequalities using the Kantorovich ratio

open access: yesConcrete Operators, 2022
In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.
Nikzat Elham, Omidvar Mohsen Erfanian
doaj   +1 more source

New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant

open access: yesSpecial Matrices, 2023
Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
doaj   +1 more source

On Further Inequalities for Convex Functions via Generalized Weighted-Type Fractional Operators

open access: yesFractal and Fractional, 2023
Several inequalities for convex functions are derived in this paper using the monotonicity properties of functions and a generalized weighted-type fractional integral operator, which allows the integration of a function κ with respect to another function
Çetin Yıldız   +2 more
doaj   +1 more source

On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators

open access: yesAxioms, 2021
Fractional operators are one of the frequently used tools to obtain new generalizations of clasical inequalities in recent years and many new fractional operators are defined in the literature. This development in the field of fractional analysis has led
Erhan Set   +4 more
doaj   +1 more source

An Extension of Young′s Inequality [PDF]

open access: yesAbstract and Applied Analysis, 2011
Young′s inequality is extended to the context of absolutely continuous measures. Several applications are included.
Flavia-Corina Mitroi   +1 more
openaire   +3 more sources

A new generalization of two refined Young inequalities and applications

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
doaj   +1 more source

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