Refinements of Hermite-Hadamard inequality on simplices
Some refinements of the Hermite-Hadamard inequality are obtained in the case of continuous convex functions defined on simplices.
math.CA↗
arXiv subjects
F. -C. Mitroi
Publications and source records attributed to F. -C. Mitroi.
Fejer-type inequalities
The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.
math.CA↗
Some inequalities on generalized entropies
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality. We also give a generalized Han's inequality.
math.CA↗
Mathematical inequalities for some divergences
Divergences often play important roles for study in information science so that it is indispensable to investigate their fundamental properties. There is also a mathematical significance of such results. In this paper, we introduce some parametric extended divergences combining Jeffreys divergence and Tsallis entropy defined by generalized logarithmic functions, which lead to new inequalities. In addition, we give lower bounds for one-parameter extended Fermi-Dirac and Bose-Einstein divergences. Finally, we establish some inequalities for the Tsallis entropy, the Tsallis relative entropy and some divergences by the use of the Young's inequality.
cond-mat.stat-mech↗