Results 301 to 310 of about 5,782,798 (335)

Protein-Bound Iodine Variations

Archives of Internal Medicine, 1968
It has been reported and confirmed that Marshall Islanders have protein-bound iodine (PBI) values about 2 μg/deciliter higher than Americans. In the present study, approximately 2,500 PBI values obtained from various populations of the Western Pacific were grouped on ethnic and geographic bases to see if other populations showed this elevation ...
openaire   +1 more source

Off-shell variational bounds

Journal of Physics A: Mathematical and General, 1984
The Schwinger variational principle is shown to lead to upper and lower bounds for the off-shell scattering amplitude for local potentials satisfying integral 0Ar mod V(r)dr< infinity and integral Ainfinity mod V(r) mod dr< infinity .
openaire   +1 more source

Functions of Bounded Variation

2015
We know that if f is integrable, then the lower and upper sums of every partition F approximate its integral from below and above, and so the difference between either sum and the integral is at most \(S_{F} - s_{F} =\varOmega _{F}\), the oscillatory sum corresponding to F.
Miklós Laczkovich, Vera T. Sós
openaire   +1 more source

Nonconservative Products in Bounded Variation Functions

SIAM Journal on Mathematical Analysis, 1992
Summary: There exist two definitions of products of a bounded variation function by a derivative of another bounded variation function. One of them follows from a concept of generalized functions in which arbitrary products of distributions make sense: one has only one product but its understanding involves a nonclassical concept contained in each ...
Colombeau, Jean François, Heibig, Arnaud   +1 more
openaire   +2 more sources

Composing Functions of Bounded ϕ-Variation

Proceedings of the American Mathematical Society, 1986
Functions of bounded \(\phi\)-variation appeared first in a paper of \textit{N. Wiener} [Massachusetts J. Math. 3, 72-94 (1924)]. Afterwards it was studied by others leading to generalizations and different perspectives. A \(\phi\)-function what is understood as far as this paper is concerned is a continuous, unbounded, non-decreasing function on \([0,\
Ciemnoczołowski, J., Orlicz, W.
openaire   +1 more source

ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
openaire   +1 more source

ON FUNCTIONS OF BOUNDED $ p$-VARIATION

Mathematics of the USSR-Izvestiya, 1968
In this article we obtain an asymptotic formula for the approximations to functions in the class (, ) by Fourier sums in the metric of (). We find sufficient conditions and also criteria for the continuity of the derivative of a function in the class . We also give some results on the Fourier coefficients of functions in the above class.
openaire   +2 more sources

Metric-Valued Mappings of Bounded Variation

Journal of Mathematical Sciences, 2002
This is an interesting survey on the theory and applications of maps of bounded variation with values in an abstract metric (in particular, normed) space. The author discusses interconnections with other classes of maps, discontinuity properties of the variation of a map, and structural properties of the space of all such maps.
openaire   +2 more sources

Functions of Bounded Variation

1989
A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of ...
openaire   +1 more source

Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space

Journal of evolution equations (Printed ed.), 2018
M. Heida, R. Patterson, D. M. Renger
semanticscholar   +1 more source