New versions of reverse Young and Heinz mean inequalities with the Kantorovich constant

W Liao, J Wu, J Zhao - 2015 - projecteuclid.org
We show new versions of reverse Young inequalities by virtue of the Kantorovich constant,
and utilizing the new reverse Young inequalities we give the reverses of the weighted …

[HTML][HTML] Refined Young inequalities with Specht's ratio

S Furuichi - Journal of the Egyptian Mathematical Society, 2012 - Elsevier
In this paper, we show that the ν-weighted arithmetic mean is greater than the product of the
ν-weighted geometric mean and Specht's ratio. As a corollary, we also show that the ν …

[PDF][PDF] Alternative reverse inequalities for Young's inequality

S Furuichi, N Minculete - arXiv preprint arXiv:1103.1937, 2011 - arxiv.org
arXiv:1103.1937v2 [math.CA] 29 Jan 2018 Page 1 arXiv:1103.1937v2 [math.CA] 29 Jan 2018
Alternative reverse inequalities for Young’s inequality Shigeru Furuichi1∗and Nicusor …

[图书][B] Advances in mathematical inequalities

S Furuichi - 2020 - books.google.com
Mathematical inequalities are essential tools in mathematics, natural science and
engineering. This book gives an overview on recent advances. Some generalizations and …

[PDF][PDF] Improved Jensen's inequality

M Sababheh - Math. Inequal. Appl, 2017 - files.ele-math.com
Improved Jensen's inequality Page 1 M athematical I nequalities & A pplications Volume 20,
Number 2 (2017), 389–403 doi:10.7153/mia-20-27 IMPROVED JENSEN’S INEQUALITY …

An extension of Jensen's operator inequality and its application to Young inequality

HR Moradi, S Furuichi, FC Mitroi-Symeonidis… - Revista de la Real …, 2019 - Springer
An extension of Jensen’s operator inequality and its application to Young inequality |
SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal …

[HTML][HTML] Graph indices via the AM–GM inequality

M Sababheh - Discrete Applied Mathematics, 2017 - Elsevier
Numerical values associated with chemical graphs have their role in describing the graph.
Examples of these values are the Zagreb and Wiener indices. The main goal of this article is …

Radical convex functions

M Sababheh, HR Moradi - Mediterranean Journal of Mathematics, 2021 - Springer
In this article, we further explore convex functions by revealing new bounds, resulting from
stronger convexity behavior. In particular, we define the so-called radical convex functions …

[PDF][PDF] On several inequalities related to convex functions

N Minculete - J. Math. Inequal, 2023 - files.ele-math.com
In this paper, for a function f: X→ R, we introduce the following expression: Δλ (f)(x, y):= λ f
(x)+(1− λ) f (y)− f (λx+(1− λ) y), where x, y∈ X and λ∈ R. The purpose of this article is to …

[PDF][PDF] Improved Jensen-type inequalities for (p, h)-convex functions with applications

MA Ighachane, L Sadek… - Kragujevac Journal of …, 2023 - researchgate.net
IMPROVED JENSEN-TYPE INEQUALITIES FOR (p, h)-CONVEX FUNCTIONS WITH
APPLICATIONS 1. Introduction and preliminaries Convex functio Page 1 IMPROVED …