LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

On the $$\mathbb {K}$$K-Riemann integral and Hermite–Hadamard inequalities for $$\mathbb {K}$$K-convex functions

Photo by jxk from unsplash

In the present paper we introduce a notion of the $$\mathbb {K}$$K-Riemann integral as a natural generalization of a usual Riemann integral and study its properties. The aim of this… Click to show full abstract

In the present paper we introduce a notion of the $$\mathbb {K}$$K-Riemann integral as a natural generalization of a usual Riemann integral and study its properties. The aim of this paper is to extend the classical Hermite–Hadamard inequalities to the case when the usual Riemann integral is replaced by the $$\mathbb {K}$$K-Riemann integral and the convexity notion is replaced by $$\mathbb {K}$$K-convexity.

Keywords: mathbb riemann; hermite hadamard; riemann integral; hadamard inequalities

Journal Title: Aequationes mathematicae
Year Published: 2017

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.