Related papers: On some inequalities of Chebyshev type

Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

Some inequalities for different types of convexity are established.

In this paper, we obtain a new generalization of Chebyshev's inequality for random elements taking values in a separate Banach space.

We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.

We prove a new inequality for Gaussian processes, this inequality implies the Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's theorem are given.

In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

We provide a new characterization of the logarithmic Sobolev inequality.

The main purpose of the present article is to give some new Hilbert's sum type inequalities, which in special cases yield the classical Hilbert's inequalities. Our results provide some new estimates to these types of inequalities.

We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.

In this article, we derive a new generalization of Chebyshev inequality for random vectors. We demonstrate that the new generalization is much less conservative than the classical generalization.

In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system.

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

In this paper, some new Gronwall type inequalities involving iterated integrals are given.

In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established

We obtain simple proofs of certain inequalites for bivariate means.

We obtain some inequalities which are stronger than the Schur majorization inequalities.