There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we ...

La desigualdad integral de Jensen tiene mucha importancia en cuanto a sus aplicaciones en diferentes campos de las matemáticas. En este artículo encontramos una nueva desigualdad tipo Jensen para funciones cuya segunda ...

We consider and study a new class of convex functions that are called relative m−semilogarithmic convex functions. Some Hermite-Hadamard inequalities for this a kind of generalized convex function are derived.

In this paper we introduce the notion of s − φ−convex functions as generalization of convex functions. Some basic resultsunder various conditions for the function φ are investigated. Moreover, we establish Ostrowski type ...

We found some new Ostrowski-type inequalities for functions whose derivative module is relatively convex, also some others of the same type making use of relatively s−convex functions in the second sense. With these results ...

In this work, a study is conducted on the Hermite–Hadamard inequality using a class of generalized convex functions that involves a generalized and parametrized class of special functions within the framework of quantum ...