Bernstein's inequality on algebraic curves
Bessel and Grüss type inequalities in inner product modules over Banach -algebras.
Best Approximation with Exponential Orders and Intermediate Spaces.
Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β. As a corollary, the sharp constant is found for a similar weighted inequality for fractional powers of the Beltrami-Laplace operator on the unit sphere.
Best constants for certain multilinear integral operators.
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
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces [Book]
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 sine and cosine via eigenvalue estimation
Define n × n tridiagonal matrices T and S as follows: All entries of the main diagonal of T are zero and those of the first super- and subdiagonal are one. The entries of the main diagonal of S are two except the (n, n) entry one, and those of the first super- and subdiagonal are minus one. Then, denoting by λ(·) the largest eigenvalue, [...] Using certain lower bounds for the largest eigenvalue, we provide lower bounds for these expressions and, further, lower bounds for sin x and cos x on certain...
Bounds for some perturbed Čeby'ev functionals.
Bounds for the beta function
Bounds for the Čebyšev functional of a convex and a bounded function.
Bounds on certain integral inequalities.