integrable function

(redirected from Absolutely integrable)

integrable function

[¦int·i·grə·bəl ′fəŋk·shən]
(mathematics)
A function whose integral, defined in a specific manner, exists and is finite.
References in periodicals archive ?
x(v) [member of] [L.sup.RV.sub.p]([OMEGA]) is said to be [parallel]*[parallel][sub.p,RV]- absolutely integrable s.p.
Assuming that f(t) and g(t) are two absolutely integrable functions, which can be expanded in block pulse function as f(t) = FB(t), and g(t) = GB(t) respectively, then one has
Let f(x, t) and g(x, t) be two absolutely integrable functions, which can be expanded in block pulse function as f(x, t) = [B.sup.T](x)FB(t) and g(x, t) = [B.sup.T](x)GB(t), respectively, one has
The term in parentheses is a 2[pi]-periodic continuous and absolutely integrable function of v, and K(n), for n [member of] Z, are its Fourier coefficients.
The left-hand side is absolutely integrable. After a change of variables, the right-hand side can be written as an inverse Fourier transform.