Related papers: A complement to the Chebyshev integral inequality
Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.
We obtain some new inequalities of Chebyshev Type.
In this paper we give necessary and sufficient conditions for the equality case in Wielandt's eigenvalue inequality.
We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be…
We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.
Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new…
We improve constants in the Rademacher-Menchov inequality.
We prove a~general form of Chebyshev type inequality for generalized upper Sugeno integral in the form of necessary and sufficient condition. A key role in our considerations is played by the~class of $m$-positively dependent functions…
We provide new sufficient conditions under which Ryser's conjecture holds.
The Riemann hypothesis (RH) is well known. In this paper we would show some sufficient conditions for the RH. The first condition is related with the sum of divisors function and another one is related with the Chebyshev's function.
We prove the Levin-Ste\v{c}kin inequality using Chebyshev's inequality and symmetrization. Symmetry and slightly modified Chebyshev's inequality are also the key to an elementary proof of Clausing's inequality .
We give a uniform estimate and an inequality for solutions of an equation with Dirichlet boundary condition.
In this paper, we obtain a new generalization of Chebyshev's inequality for random elements taking values in a separate Banach space.
This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.
We prove some extensions of Andrews inequality.
We generalize Jacod's condition and introduce a new type sufficient condition for the uniform integrability of the general stochastic exponential.
We provide a new characterization of the logarithmic Sobolev inequality.
We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and G\"{o}tze. Under mild assumptions the condition is also necessary.…
We establish necessary and sufficient conditions for the uniform integrability of the stochastic exponential E(M).
A variant of the well-known Chebyshev inequality for scalar random variables can be formulated in the case where the mean and variance are estimated from samples. In this paper we present a generalization of this result to multiple…