In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard ...

In the present work, a new concept of generalized convexity (i.e. generalized η−convexity ) is established and applied to stochastic process.Using the aforementioned concept, some new Hermite - Hadamard type inequalities ...

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 ...

Los proyectos de ingeniería tienen un plan de actividades a realizar en un tiempo inicial estimado, el cual se contrasta posteriormente con el tiempo real que efectivamente demora la ejecución del proyecto. Este plan inicial ...

In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized ϕ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized ϕ ...

We consider and study a new class of convex stochastic processes, called (m, h1, h2)−convex stochastic processes. Some Ostrowski inequality for this kind of generalized convex stochastic processes are derived, using the ...

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 work, a generalization of the classical Ostrowski inequality is obtained for functions, whose first derivative are (s, m)-convex in the second sense, and in a similar form, an integral inequality of Jensen type for ...

We have found some new Ostrowski-type inequalities for functions whose derivative module is relatively (m, h1, h2) − convex. From the main results some corollaries refereeing to relative convexity, relative P − convexity, ...

In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities for q-differentiable functions involving the special function introduced by R.K. Raina which depends on certain parameters. Our ...