4 papers
Another refinement of the right-hand side of the Hermite-Hadamard inequality for simplices
Monika Nowicka, Alfred Witkowski
In this paper, we establish a new refinement of the right-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.
Applications of the Hermite-Hadamard inequality
Monika Nowicka, Alfred Witkowski
We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some ki…
A refinement of the left-hand side of Hermite-Hadamard inequality for simplices
Monika Nowicka, Alfred Witkowski
In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.
Refinement of the right-hand side of Hermite-Hadamard inequality for simplices
Monika Nowicka, Alfred Witkowski
We establish a new refinement of the right-hand side of the Hermite-Hadamard inequality for simplices, based on the average values of a convex function over the faces of a simplex…