Convex geometry is a vibrant area of mathematics that investigates the properties and structure of convex sets in Euclidean spaces. This field is intrinsically linked to a series of fundamental ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...

In this paper, we present new inequalities for log-convex functions, with some applications to operator means. The significance of the obtained results is two folded; the results themselves and the ...

In this paper, based on a new quantum analog of Hermite-Hadamard inequality, the quantum analog of some trapezoid, midpoint, Bullen and Simpson type inequalities are established. Moreover, by taking ...