Let A and B be two accretive operators. We first introduce the weighted geometric mean of A
and B together with some related properties. Afterwards, we define the relative entropy as …

Due to applicability of mathematical inequalities in control systems, actuarial science,
information theory and its utilization in other sciences, several researchers are inclined to …

As a generalization of the logarithmic mean of positive real numbers, we establish the
logarithmic mean of two positive invertible operators with two different construction schemes …

In this article, we provide refined inequalities for a convex Riemann's integrable function
using refinements of the classical Hermite‐Hadamard inequality. The obtained results are …

Inspired by the recent work by R. Pal et al., we give further refined inequalities for a convex
Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our …

It is well known that the Hermite–Hadamard inequality (called the HH inequality) refines the
definition of convexity of function f (x) defined on [a, b] by using the integral of f (x) from a to …

Let A, B be any two positive definite n× n matrices and Y be any n× n matrix. We aim to study
the precised estimates of the eigenvalues of MY (A, B)= AA 1 2 YB 1 2 B 1 2 Y⋆ A 1 2 B, with …

Some mathematical inequalities among various weighted means are studied. Inequalities
on weighted logarithmic mean are given. Besides, the gap in Jensen's inequality is studied …

In (Pal et al. in Linear Multilinear Algebra 64 (12): 2463–2473, 2016), Pal et al. introduced
some weighted means and gave some related inequalities by using an approach for …

To better understand the algebra $\mathcal {M} _n $ of all $ n\times n $ complex matrices,
we explore the class of accretive matrices. This class has received renowned attention in …