Related papers: On some inequalities of Chebyshev type

In the present work we give several new integral inequalities of the type Riemann-Liouville fractional integral via Montgomery identities integrals.

We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.

This paper presents some new inequalities, the most important of which is the inequality given in Theorem 2.1. It can solve a class of inequalities by a unified method. An important application of the inequality given in Theorem 2.1 is to…

In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some properties of this mapping.

In this article we discuss a generalized Wirtinger inequality.

We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequences.

We study in this article a new pointwise estimate for ''rough'' singular integral operators. From this pointwise estimate we will derive Sobolev type inequalities in a variety of functional spaces.

We provide a proof of the sharp log-Sobolev inequality on a compact interval.

We provide new sufficient conditions under which Ryser's conjecture holds.

A number of inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities.

In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special…

We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities…

In this paper, we give a survey on the history and recent developments on the DDVV-type inequalities.

Sobolev trace inequalities on nonhomogeneous fractional Sobolev spaces are established.

This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type…

In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.

We develop a systematic approach to establish Bell inequalities for qubits based on the Cauchy-Schwarz inequality. We also use the concept of distinct "roots" of Bell function to classify some well-known Bell inequalities for qubits. As…

We establish Paley-type and Hausdorff-Young-Paley-type inequalities for generalized Gegenbauer expansions.

We review some convexity inequalities for Hermitian matrices an add one more to the list.

In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.