This paper deals with inequalities for the volume of a convex body and the volume of the projection body, the L-centroid body, and their polars. Examples are the Blaschke-Santaló inequality, the Petty and Zhang projection inequalities, the Busemann-Petty inequality. Other inequalities of the same type are still at the stage of conjectures. The use of special continuous movements of convex bodie...

In this paper, we provide a new form of upper bound for the converse of Jensen’s inequality. Thereby, known estimations of the difference and ratio in Jensen’s inequality are essentially improved. As an application, we also obtain an improvement of Kantorovich inequality.

Correspondence: [email protected] College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, People’s Republic of China Abstract In this paper, we extend Hu Ke’s inequality, which is a sharpness of Hölder’s inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang. M...

PURPOSE The aim of this paper is to examine conceptual issues that challenge development of valid and useful measures of children's participation. METHOD Ambiguities in the current definition of participation in the International Classification of Functioning, Disability and Health (ICF) are examined along with their implications for developing valid measures for children and youth. RESULTS...

OBJECTIVES The purpose of this study was to obtain data about typical children on the 99-item Sensory Profile, a newly developed tool derived from sensory history items reported in the literature and designed to assess children's responses to commonly occurring sensory events. METHOD Parents of 64 typical children 3 to 10 years of age completed the Sensory Profile; parents used a five-point L...

OBJECTIVE To investigate cross-cultural validity of a newly developed Assessment of Children's Hand Skills (ACHS) in children with and without disabilities. SUBJECTS One group of 138 Australian children and 134 Taiwanese children, age range 2-12 years (a total of 149 typically developing children and 123 children with disabilities). METHODS Rasch model analysis was used to evaluate rating s...

BACKGROUND Increasing emphasis on family-centred approaches to services and supports for families of children with disabilities has surfaced the issue of accountability for family outcomes. We present a review of literature about the impacts of children with disabilities on families as a backdrop to proposing family quality of life as a concept that encompasses impacts of disability and one tha...

BACKGROUND In the new Sustainable Development Goal 4, quality of education defined as equity and inclusion alongside traditional learning outcomes, has replaced the narrow goal of access to primary education stipulated in the Millennium Development Goal 2. Since 2000, considerable progress has been made towards improving access to school for children in India, yet questions remain regarding not...