The authors shall discuss Heinz inequalities involving Riemann-Liouville fractional integrals for certain unitarily invariant norms. By using the convexity of function and fractional Hermit-Hadamard integral inequality, some refinements of Heinz inequalities are derived.

Abstract Hermit crabs community in the intertidal zones of Larak Island were investigated through a seasonal sampling at five stations using random quadrate sampling method. Overall, seven species were identified and Clibanarius signatus was the dominant species, which showed high dominance over other species. Using Bray-Curtis cluster analysis for comparing seasonal abundance showed that exce...

Being able to extend an OWL ontology with some form of rules is a feature that many ontology developers consider as very important. Nevertheless, working with rules in practice can be difficult since the tool support is not as good as for handling ontologies without rules. Furthermore, the existing rule syntaxes are not very well aligned with the new OWL 2 standard. We propose, therefore, an ex...

In this paper, a new set of spline functions called ``Flat End Fuzzy Spline" is defined to interpolate given fuzzy data. Some important theorems on these splines together with their existence and uniqueness properties are discussed. Then numerical examples are presented to illustrate the differences between of using our spline and other interpolations that have been studied before.

Seven hermit crab species of the pagurid genus Pagurixus Melin, 1939 are reported on the basis of material recently collected from the northern and central islands of the Ryukyu Islands, southwestern Japan. Four species are new to the hermit crab fauna of the Ryukyu Islands: P. acanthocarpus Komai & Okuno, 2009; P. fasciatus Komai & Myorin, 2005; P. formosus Komai, 2010; and P. tweediei (Forest...