AbstractThis paper discusses some Cauchy–Khinchin integral inequalities. Khinchin [2] obtained an inequality relating the row and column sums of 0-1 matrices in the course of his work on number theory. As pointed out by van Dam [6], Khinchin’s inequality can be viewed as a generalization of the classical Cauchy inequality. Van Dam went on to derive analogs of Khinchin’s inequality for arbitrary matrices. We carry this work forward, first by proving even more than general matrix results, and then by formulating them in a way that allows us to apply limiting arguments to create new integral inequalities for functions of two variables. These integral inequalities can be interpreted as giving information about conditional expectations
In this paper, we first establish a new inequality similar to Hilbert’s inequality. Then the integra...
AbstractWe give refinements of the classical Young inequality for positive real numbers and we use t...
Some new results that provide refinements and reverses of the Cauchy-Bunyakovsky-Schwarz (CBS-)inequ...
We first give an alternative proof of a theorem originally presented by E. R. van Dam. Then we show ...
AbstractWe derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, ...
Abstract This paper presents new refinements on the integral form of Cauchy–Schwartz inequality know...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractSome new results that provide refinements and reverses of the Cauchy–Bunyakovsky–Schwarz (CB...
[[abstract]]By using a form of the Cauchy-Bunyakovsky-Schwarz inequality, we establish new inequalit...
AbstractIf an n × n matrix has entries either zero or one, row sums ri and column sums sj, the ∑ri2 ...
We provide, among other results, the optimal blow up rate of the constants of a family of Khinchin i...
Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri ...
Abstract. A generalization of Hardy-Hilbert’s integral inequality was given by B.Yang in [18]. The m...
AbstractBy using a recent generalization of the Cauchy–Schwarz inequality we obtain several new ineq...
There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature....
In this paper, we first establish a new inequality similar to Hilbert’s inequality. Then the integra...
AbstractWe give refinements of the classical Young inequality for positive real numbers and we use t...
Some new results that provide refinements and reverses of the Cauchy-Bunyakovsky-Schwarz (CBS-)inequ...
We first give an alternative proof of a theorem originally presented by E. R. van Dam. Then we show ...
AbstractWe derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, ...
Abstract This paper presents new refinements on the integral form of Cauchy–Schwartz inequality know...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractSome new results that provide refinements and reverses of the Cauchy–Bunyakovsky–Schwarz (CB...
[[abstract]]By using a form of the Cauchy-Bunyakovsky-Schwarz inequality, we establish new inequalit...
AbstractIf an n × n matrix has entries either zero or one, row sums ri and column sums sj, the ∑ri2 ...
We provide, among other results, the optimal blow up rate of the constants of a family of Khinchin i...
Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri ...
Abstract. A generalization of Hardy-Hilbert’s integral inequality was given by B.Yang in [18]. The m...
AbstractBy using a recent generalization of the Cauchy–Schwarz inequality we obtain several new ineq...
There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature....
In this paper, we first establish a new inequality similar to Hilbert’s inequality. Then the integra...
AbstractWe give refinements of the classical Young inequality for positive real numbers and we use t...
Some new results that provide refinements and reverses of the Cauchy-Bunyakovsky-Schwarz (CBS-)inequ...