Related papers: Some Steffensen's type inequalities

In this note we prove Jensen-type inequality for certain non-convex functions. We apply our idea to prove some inequalities which were suggested at some high-level math olympiades.

We prove some integral inequalities related to Feng Qi's inequality (2000) and obtain a few corollaries.

In this paper we consider a new kind of inequality related to fractional integration, motivated by Gressman's paper. Based on it we investigate its multilinear analogue inequalities. Combining with the Gressman's work on multilinear…

We provide a new characterization of the logarithmic Sobolev inequality.

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

Sharp inequalitieis of Gruss type for Stieltjes integrals with application in numerical integration are provided.

The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.

In this article we derive some polynomial inequalities for Mertens functions.

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

An argument is provided for the equality case of the high dimensional Bonnesen inequality for sections. The known equality case of the Bonnesen inequality for projections is presented as a consequence.

Jensen's operator inequality for convexifiable functions is obtained. This result contains classical Jensen's operator inequality as a particular case. As a consequence, a new refinement and a reverse of Young's inequality is given.

In this paper, new improvement of celebrated H\"older inequality by means of isotonic linear functionals is established. An important feature of the new inequality obtained in here is that many existing inequalities related to the H\"older…

In this paper, we will prove several new inequalities of Hardy's types with explicit constants. The main results will be proved by making use of some generalizations of Opial's type inequalities and H\"older's inequality. To the best of the…

In the paper, the authors establish some interesting identities and inequalities involving the extended Weyl type fractional integrals.

We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.

Inequalities for exponential sums are studied. Our results improve an old result of G. Halasz and a recent result of G. Kos. We prove several other essentially sharp related results in this paper.

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent…

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