The present paper proposes a new condition to replace both the (O-regularly varying) quasimonotone condition and a certain type of bounded variation condition, and shows the same conclusion for the uniform convergence of certain trigonometric series still holds.

OBJECTIVE This paper focuses on the first two years of operation of Genetics Home Reference (GHR), a Web-based resource for the general public that helps to explain the health implications of findings from the Human Genome Project. METHODS AND FINDINGS Key challenges of Web-based consumer health communication encountered in the growth and maintenance of GHR are di...

We discuss determination of jumps for functions with generalized bounded variation. The questions are motivated by A. Gelb and E. Tadmor [1], F. Móricz [5] and [6] and Q. L. Shi and X. L. Shi [7]. Corollary 1 improves the results proved in B. I. Golubov [2] and G. Kvernadze [3]. Ÿ

For a Borel-measurable function f : R→ R satisfying f(0) = 0 and

In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double sequence space p F bv 2 (1 ≤ p < ∞). We have studied some important properties like completeness, convergence free, solid, symmetric. Some inclusion results are also established.

The measure approach represents a preference relation over functions by the measure of Ž . their epigraphs or hypographs . This paper proves a measure representation theorem for a class of increasing functions and shows how its proof can be modified to yield another measure representation theorem for functions of bounded variation. q 1998 Elsevier Science B.V. JEL classification: D81