In this paper, we will prove several new inequalities of Hardy type with explicit constants. The main results will be proved using generalizations of Opial's inequality.

In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving a variational inequality (VI) problem in real Hilbert spaces. This is an important property of algorithms which guarantees the convergence of the scheme under summable errors, meaning that an inexact version of the methods can also be considered. Moreover, once a...

Quantum-dot cellular automata, is an extremely small size and a powerless nanotechnology. It is the possible alternative to current CMOS technology. Reversible QCA logic is the most important issue at present time to reduce power losses. This paper presents a novel reversible logic gate called the F-Gate. It is simplest in design and a powerful technique to implement reversible logic. A systema...

in attention to the role of relationship between child and parents in child development, the purpose of the present study was to determine the relationship of anxiety in students with learning disabilities based on parenting style. this study was causal-comparative design. study population included all parents of children with learning disabilities attending special centers during academic year...

Background: Sleep disorder is complex comorbidity in children with attention-deficit/hyperactivity disorder (ADHD), and there is generally a reciprocal effect between them. Considering its adverse consequences on children and their families, the aim of this study was to investigate the frequency of sleep disorders in children with ADHD and the relationship between the sleep problems and mental ...

objectives: specific language impaired children, despite being normal in cognitive and neurological characteristics, and also normal levels of hearing, experience multiple problems in syntax comprehension. this study compared the passive comprehension as one of syntactic structures in persian-speaking typically developing children and specific language impaired children. methods: 10 children wi...

introduction the debate regarding the description on classification and nomenclature of the injury which includes olecranon fracture associated with radial neck fractures in children is ongoing. we report two pediatric cases that could not be classified in a monteggia-equivalents system and were treated with open reduction and k-wire fixation. the aim of this study was to perform a systematic r...

We prove a reverse form of the multidimensional Brascamp-Lieb inequality. Our method also gives a new way to derive the Brascamp-Lieb inequality and is rather convenient for the study of equality cases. Introduction We will work on the space R with its usual Euclidean structure. We will denote by 〈, 〉 the canonical scalar product. In [BL], H. J. Brascamp and E. H. Lieb showed that for m ≥ n, p1...

In the present paper, we extend Garaev’s techniques to the set of fields which are not necessarily of prime order. Our goal here is just to find an explicit estimate in the supercritical setting where the set A has less cardinality than the square root of the cardinality of the field, and interacts in a less than half-dimensional way with any subfields. (We make this precise below.) Precisely, ...

We first prove a generalized Wirtinger’s inequality. Then, applying the inequality, we study estimates for lower bounds of periods of periodic solutions for a class of delay differential equations ẋ t −∑nk 1f x t − kr , and ẋ t − ∑n k 1g t, x t − ks , where x ∈ R, f ∈ C R,R , and g ∈ C R×Rp,Rp and r > 0, s > 0 are two given constants. Under some suitable conditions on f and g, lower bounds of p...