Positivity and unimodality as stabilizers of the analytic extrapolation of a function known with errors

Journal Article · Wed Jan 01 00:00:00 EST 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527377· OSTI ID:6446301

Antolin, J; Cruz, A

Positivity and unimodality hypotheses on an unknown function chi/sub 1/(x) confer Stieltjes character to another function H/sub 1/(z), known in a discrete set of real points and affected by errors caused by experimental measurements, and impose constraints on the coefficients of its formal expansion which limit the universe of approximant functions, so acting as stabilizers of the analytic extrapolation. The type I Pade approximants, built with the coefficients of the formal expansion, provide rigorous bounds on the function in the cut complex plane. The application of a Stieltjes--Chebyshev technique allows approximations to the function, even on the cut, to be obtained. The physical problem of K/sup + -/p forward elastic scattering is approached by the previous method, and bounds on the coupling constant and real part of the amplitude are found.

• Research Organization: Departamento de Fisica Teorica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza 50009, Spain
• OSTI ID: 6446301
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 27:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUNCTIONS
EXTRAPOLATION
KAONS MINUS
ELASTIC SCATTERING
KAONS PLUS
NUCLEONS
FUNCTIONAL ANALYSIS
HYPERONS
PADE APPROXIMATION
SERIES EXPANSION
BARYONS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
KAONS
MATHEMATICS
MESONS
NUMERICAL SOLUTION
PSEUDOSCALAR MESONS
SCATTERING
STRANGE PARTICLES
645500* - High Energy Physics- Scattering Theory- (-1987)
658000 - Mathematical Physics- (-1987)