Related papers: On some inequalities of Chebyshev type

Some new Gruss type inequalities in inner product spaces and applications for integrals are given.

In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

We show that a differential version of the classical Chebyshev-Markov-Stieltjes inequalities holds for a broad family of weight functions. Such a differential version appears to be new. Our results apply to weight functions which are…

Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix…

We prove some extensions of Andrews inequality.

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the…

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequences are also discussed.

In this paper, we establish some new inequalities of Hadamard's type for L-Lipschitzian mapping in two variables.

We develop a new framework for the Jensen-type inequalities that allows us to deal with functions not necessarily convex and Borel measures not necessarily positive.

In this paper we obtain a generalization of some integral inequalities related to Chebyshev`s functional by using a generalized Katugampola fractional integral.

We improve constants in the Rademacher-Menchov inequality.

In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.

The classical form of Gr\"uss' inequality, first published by G. Gr\"{u}ss in 1935, gives an estimate of the difference between the integral of the product and the product of the integrals of two functions. In the subsequent years, many…

In this short note we show an equivalence between Sobolev type inequalities and so called isocapacitary inequalities in the context of a large class of nonlinear Dirichlet forms, their associated Dirichlet spaces and their associated…

We give a survey of recent results, due mainly to the authors, concerning Bernstein-Markov type inequalities and connections with potential theory.

In this paper, we obtain some new inequalities for functions which are introduced by Godunova and Levin.

Using some harmonic extensions on the upper-half plane, and probabilistic representations, and curvature-dimension inequalities with some negative dimensions, we obtain some new opimal functional inequalities of the Beckner type for the…

We summarize results concerning the Bernstein property of differential equations.