Related papers: On some inequalities of Chebyshev type

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

We present some further results on Liouville type theorems for some conformally invariant fully nonlinear equations.

New cases of the multiplicity conjecture are considered.

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $\varphi$-convex.

Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.

We present some new Sobolev inequalities on spheres corresponding to parabolic geometries of real rank-one semisimple Lie groups

We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.

In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of…

In this paper weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders are proved. A weighted isoperimetric inequality is also obtained.

We focus on the improvements for Young inequality. We give elementary proof for known results by Dragomir, and we give remarkable notes and some comparisons. Finally, we give new inequalities which are extensions and improvements for the…

New Hardy type inequalities in sectorial area and as a limit in an exterior of a ball are proved. Sharpness of the inequalities is shown as well.

In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing…

We shall discuss a higher-rank Khovanskii-Teissier inequality, generalizing a theorem of Li. In the course of the proof, we develop new Hodge-Riemann bilinear relations in certain mixed settings, which in themselves slightly extend the…

In this paper, we obtain several inequalities of Ostrowski type that the absolute values of n-time differntiable functions are convex.

We give a new proof of Chen-Lin result with Li-Zhang method.

We provide some new results of the ground state of quantum layers.

This note presents families of inequalities for the Gaussian measure of convex sets which extend the recently proven Gaussian correlation inequality in various directions.

We study an inequality suggested by Littlewood, our result refines a result of Bennett.