Related papers: A generalization of an inequality from IMO 2005
We establish a general criterion for the validity of inequalities of the following form: A certain convex combination of the values of a convex function at n points and of its value at a weighted mean of these n points is always greater or…
New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces are given.
We present a refinement, by selfimprovement, of the arithmetic geometric inequality.
We prove some new results related to Tanaka's formula.
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
In New York J. Math. 17 (2011), 41--49, Li has obtained an analogue of the J{\o}rgensen inequality in the infinite-dimensional M\"obius group. We show that this inequality is strict.
In this short note, we improve the famous Reid Inequality related to linear operators.
We use the definition of a fractional integral, recently proposed by Katugampola, to establish a generalization of the reverse Minkowski's inequality. We show two new theorems associated with this inequality, as well as state and show other…
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
In this work, a generalization of pre-Gr\"{u}ss inequality is established. Several bounds for the difference between two \v{C}eby\v{s}ev functional are proved.
For given set of $m$ positive numbers satisfying the conditions: $$ a_1 \geq a_2 \geq , ... \geq a_m \geq 0, $$ the inequality $$ \sum_{s=1}^{m} (-1)^{s-1}a^r_s \geq \left[ \sum_{s=1}^{m} (-1)^{s-1}a_s\right]^r, \quad r > 1, $$ was proved…
The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Ces\'aro operator.
We obtain simple proofs of certain inequalites for bivariate means.
Certain excess versions of the Minkowski and H\"older inequalities are given. These new results generalize and improve the Minkowski and H\"older inequalities.
A generalization of the law of total covariance is presented and proved.
In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.
In this note I give an information-theoretic proof of the Bonami-Beckner-Gross hypercontractive inequality.
We propose a general definition of unprojection, and prove that it indeed generalizes previous efforts.
There is a serious mistake in the proof.
We generalize the concept of disjunction.