[PDF][PDF] The differentiable h-convex functions involving the Bullen inequality

M Çakmak - Acta Univ. Apulensis, 2021 - kurims.kyoto-u.ac.jp
2 (HH) hold. This double inequalities are known in the literature as the Hermite-Hadamard
inequality for convex functions. Many important inequalities are established for the class of …

Some estimations of the Jensen difference and applications

M Adil Khan, H Ullah, T Saeed - Mathematical Methods in the …, 2023 - Wiley Online Library
The Jensen inequality is one of the most favorable inequalities during the last few decades
due to its expressive characteristics and properties. This inequality has gained a very …

Jensen–Mercer Type Inequalities for Operator h-Convex Functions

M Abbasi, A Morassaei, F Mirzapour - Bulletin of the Iranian Mathematical …, 2022 - Springer
In this paper, we state some characterizations of h-convex function defined on a convex set
in a linear space. By doing so, we extend the Jensen–Mercer inequality for h-convex …

How type of Convexity of the Core function affects the Csisz\'{a}r -divergence functional

M Kian - arxiv preprint arxiv:2101.02934, 2021 - arxiv.org
We investigate how the type of Convexity of the Core function affects the Csisz\'{a} r $ f $-
divergence functional. A general treatment for the type of convexity has been considered …

Some inequalities for operator -convex functions

SH Marghzar, OP Rahpeyma… - Rocky Mountain Journal of …, 2021 - projecteuclid.org
We introduce the notion of operator (φ, h)-convex functions and prove Jensen–Hansen–
Pedersen-type inequalities and a Hermite–Hadamard-type inequality for this class, which …

Some inequalities on -convex functions

M Abbasi, A Morassaei, F Mirzapour - arxiv preprint arxiv:2003.12714, 2020 - arxiv.org
In this paper, we state some characterizations of $ h $-convex function is defined on a
convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for $ h …

[PDF][PDF] The P-class and Q-class functions on symmetric cones

CH Huang, Y CHANG, JS Chen - Journal of Nonlinear and …, 2020 - math.ntnu.edu.tw
In this paper, we investigate the functions of P-class and of Q-class associated with
symmetric cones. We provide the characterizations for P-class functions on symmetric …