Aequationes Mathematicae, Vol. 91, no. 3 (2017), s. 429-444
In the present paper we introduce a notion of the 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 K-Riemann integral and the convexity notion is replaced by K-convexity.