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5 papers · 1 filter
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.
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…
Explicit solutions of the invariance equation for means
Janusz Matkowski, Monika Nowicka, Alfred Witkowski
Extending the notion of projective means we first generalize an invariance identity related to the Carlson log given in a recent paper of P. Kahlig and J. Matkowski, and then, more…
On harmonic representation of means
Alfred Witkowski
We characterize continuous, symmetric and homogeneous means that can be represented in the form \begin{equation*} \frac{1}{M(x,y)}=\int_0^1 \frac{dt}{N\left(\tfrac{x+y}{2}-t\tf…