New ostrowski type inequalities for coordinated (s,m)-convex functions in the second sense

Abstract:

In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂2f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of [10]. Also, some corollary is presented.

Año de publicación:

2019

Keywords:

• (s,m)-convexity in the second sense
• Ostrowski inequality for coordinates
• Generalized convexity

Fuente:

google

scopus