Related papers: A new inequality involving primes

In this note we prove an inequality involving primes and the product of consecutive primes.

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

We obtain some new inequalities of Chebyshev Type.

Certain new inequalities for the sums of factorials are presented.

Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new…

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.

In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.

In this paper, new refinements for integral and sum forms of H\"older inequality are established. We note that many existing inequalities related to the H\"older inequality can be improved via obtained new inequalities in here, we show this…

In this work, new inequalities connected with the Steffensen's integral inequality for s-convex functions are proved

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.

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

This short note provides a sharper upper bound of a well known inequality for the sum of divisors function. This is a problem in pure mathematics related to the distribution of prime numbers. Furthermore, the technique is completely…

We prove some extensions of Andrews inequality.

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

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

We give a counterexample to a recently conjectured variant of the Penrose inequality.

In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.

We obtain simple proofs of certain inequalites for bivariate means.

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…

Some inequalities for different types of convexity are established.