Inequalities in mathematical analysis constitute a fundamental tool for establishing bounds and approximations for a diverse array of functions. They underpin many theoretical results while also ...

In this paper, the inequalities for the weighted mean of r-convex functions are established. As applications, inequalities between the two-parameter mean of an r-convex function and extended mean ...

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 the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, nd logarithmically complete monotonicity of these ...