Best Approximation with Exponential Orders and Intermediate Spaces.
Best generalization of a Hilbert type inequality.
Best generalization of Hardy-Hilbert's inequality with multi-parameters.
Binomial-Poisson entropic inequalities and the M/M/∞ queue
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/∞ queue. They describe in particular the exponential dissipation of Φ-entropies along this process. This simple queueing process appears as a model of “constant curvature”, and plays for the simple Poisson process the role played by the Ornstein-Uhlenbeck process for Brownian Motion. Some of the inequalities are recovered by semi-group ...
Boundedness of classical operators on classical Lorentz spaces
Bounds for certain delay integral inequalities on time scales.
Bounds for certain new integral inequalities on time scales.
Bounds for Convex Functions of Čebyšev Functional Via Sonin's Identity with Applications
Some new bounds for the Čebyšev functional in terms of the Lebesgue norms and the -seminorms are established. Applications for mid-point and trapezoid inequalities are provided as well.
Bounds for entropy and divergence for distributions over a two-element set.
Bounds for -divergences under likelihood ratio constraints
In this paper we establish an upper and a lower bound for the -divergence of two discrete random variables under likelihood ratio constraints in terms of the Kullback-Leibler distance. Some particular cases for Hellinger and triangular discimination, -distance and Rényi’s divergences, etc. are also considered.
Bounds for some perturbed Čeby'ev functionals.
Bounds for the Čebyšev functional of a convex and a bounded function.
Bounds on the deviation of a function from its averages
Brascamp--Lieb inequalities for non-commutative integration.