of bounded variation
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11—17 of 17 matching pages
11: 2.8 Differential Equations with a Parameter
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►In addition, and must be bounded on .
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12: Bibliography J
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Distributions of matrix variates and latent roots derived from normal samples.
Ann. Math. Statist. 35 (2), pp. 475–501.
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Bounds on Dawson’s integral occurring in the analysis of a line distribution network for electric vehicles.
Eurandom Preprint Series
Technical Report 14, Eurandom, Eindhoven, The Netherlands.
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13: Bibliography P
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Error bounds for the uniform asymptotic expansion of the incomplete gamma function.
J. Comput. Appl. Math. 147 (1), pp. 215–231.
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Variational approach to excitons in carbon nanotubes.
Phys. Rev. B 67 (7), pp. (073401–1)–(073401–4).
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Bounds for ratios of modified Bessel functions.
Integral Transform. Spec. Funct. 9 (4), pp. 293–298.
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14: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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Bounded and Unbounded Linear Operators
… ►A linear operator on is bounded with norm if … ►If is a bounded linear operator on then its adjoint is the bounded linear operator such that, for , … ►See Brownstein (2000) and Yang and de Llano (1989) for numerical examples, based on variational calculations, and Simon (1976) and Chadan et al. (2003) for rigorous mathematical discussion. … ►If is a bounded operator then its spectrum is a closed bounded subset of . …15: 2.7 Differential Equations
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►For error bounds for (2.7.14) see Olver (1997b, Chapter 7).
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►For irregular singularities of nonclassifiable rank, a powerful tool for finding the asymptotic behavior of solutions, complete with error bounds, is as follows:
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►provided that .
…and denotes the variational operator (§2.3(i)).
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►Assuming also , we have
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16: Bibliography M
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Table of the ratio: Area to bounding ordinate, for any portion of normal curve.
Biometrika 18, pp. 395–400.
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New sharp bounds for gamma and digamma functions.
An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 57 (1), pp. 57–60.
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Further improvements of some double inequalities for bounding the gamma function.
Math. Comput. Modelling 57 (5-6), pp. 1360–1363.
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Latent roots and matrix variates: A review of some asymptotic results.
Ann. Statist. 6 (1), pp. 5–33.
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The variation with respect to order of zeros of Bessel functions.
Rend. Sem. Mat. Univ. Politec. Torino 39 (2), pp. 15–25.
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17: Bibliography S
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On Lindelöf’s error bound for Stirling’s series.
J. Reine Angew. Math. 404, pp. 135–139.
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Variational calculations of scattering.
Ann. Phys. 16, pp. 36–50.
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Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros.
Math. Comp. 70 (235), pp. 1205–1220.
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Bounds for ratios of modified Bessel functions and associated Turán-type inequalities.
J. Math. Anal. Appl. 374 (2), pp. 516–528.
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The Bound State of Weakly Coupled Schrödinger Operators in One and Two Dimensions.
Annals of Physics 97 (2), pp. 279–288.
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