bounded variation
(0.001 seconds)
1—10 of 17 matching pages
1: 1.4 Calculus of One Variable
…
►
Functions of Bounded Variation
… ►
1.4.33
…
►If , then is of bounded
variation on .
In this case, and are nondecreasing bounded functions and .
…
2: 1.8 Fourier Series
3: 1.14 Integral Transforms
…
►Suppose that is absolutely integrable on and of bounded variation in a neighborhood of (§1.4(v)).
…
►If is absolutely integrable on and of bounded variation (§1.4(v)) in a neighborhood of , then
…
►Suppose the integral (1.14.32) is absolutely convergent on the line and is of bounded variation in a neighborhood of .
…
4: 10.23 Sums
5: 10.43 Integrals
…
►
(b)
…
is piecewise continuous and of bounded variation on every compact interval in , and each of the following integrals
6: 10.40 Asymptotic Expansions for Large Argument
…
►Bounds for are given by
…
7: 10.17 Asymptotic Expansions for Large Argument
8: Bibliography Y
…
►
Simple Variational Proof That Any Two-Dimensional Potential Well Supports at Least One Bound State.
American Journal of Physics 57 (1), pp. 85–86.
…
9: 18.39 Applications in the Physical Sciences
…
►For applications and an extension of the Szegő–Szász inequality (18.14.20) for Legendre polynomials () to obtain global bounds on the variation of the phase of an elastic scattering amplitude, see Cornille and Martin (1972, 1974).
…
10: 2.3 Integrals of a Real Variable
…
►In both cases the th error term is bounded in absolute value by , where the variational
operator
is defined by
…