A relation between Hilbert and Carlson inequalities

On Shafer and Carlson Inequalities

On a Relation to Four Basic Hilbert-type Integral Inequalities

In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to four basic Hilberttype integral inequalities. The equivalent form and the reverse forms are considered. Mathematics Subject Classification: 26D15

the relation between bilingualism and translation: a case study of turkish bilingual and persian monolingual translation students

translation studies have become an accepted academic subject and books, journals and doctoral dissertations appear faster than one can read them all (bassnet and lefevere, 1990). but this field also brought with itself so many other issues which needed to be investigated more, in the heart of which, issues like ideology, ethics, culture, bilingualism and multilingualism. it is reported that ove...

Optimal recovery of operators and multidimensional Carlson type inequalities

1. General setting Let T be a nonempty set, Σ be the σ -algebra of subsets of T , and μ be a nonnegative σ -additive measure on Σ . We denote by Lp(T , Σ, μ) (or simply Lp(T , μ)) the set of all Σ-measurable functions with values in R or in C for which ∥x(·)∥Lp(T ,μ) =  T |x(t)|p dμ(t) 1/p < ∞, 1 ≤ p < ∞, ∥x(·)∥L∞(T ,μ) = ess sup t∈T |x(t)| < ∞, p = ∞. Put W = {x(·) ∈ Lp(T , μ) : ∥φ(·)x(·)∥L...

Variational inequalities on Hilbert $C^*$-modules

We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory  on  Hilbert $C^*$-modules is studied.