of%20bounded%20variation
(0.002 seconds)
21—30 of 200 matching pages
21: 10.75 Tables
…
►
•
…
►
•
…
►
•
…
►
•
…
►
•
Achenbach (1986) tabulates , , , , , 20D or 18–20S.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
Kerimov and Skorokhodov (1984b) tabulates all zeros of the principal values of and , for , 9S.
Zhang and Jin (1996, p. 322) tabulates , , , , , , , , , 7S.
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.
22: Bibliography I
…
►
The real roots of Bernoulli polynomials.
Ann. Univ. Turku. Ser. A I 37, pp. 1–20.
…
►
Bounds for the small real and purely imaginary zeros of Bessel and related functions.
Methods Appl. Anal. 2 (1), pp. 1–21.
…
►
Bound on the extreme zeros of orthogonal polynomials.
Proc. Amer. Math. Soc. 115 (1), pp. 131–140.
…
23: Bibliography F
…
►
…
►
Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
…
►
Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
…
►
A uniform asymptotic expansion of the Jacobi polynomials with error bounds.
Canad. J. Math. 37 (5), pp. 979–1007.
…
►
On weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
…
24: Bibliography O
…
►
An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series.
J. Inst. Math. Appl. 20 (3), pp. 379–391.
…
►
Error bounds for asymptotic expansions in turning-point problems.
J. Soc. Indust. Appl. Math. 12 (1), pp. 200–214.
…
►
Bounds for the solutions of second-order linear difference equations.
J. Res. Nat. Bur. Standards Sect. B 71B (4), pp. 161–166.
…
►
Error bounds for stationary phase approximations.
SIAM J. Math. Anal. 5 (1), pp. 19–29.
…
►
Asymptotic approximations and error bounds.
SIAM Rev. 22 (2), pp. 188–203.
…
25: 24.20 Tables
26: 5.11 Asymptotic Expansions
…
►Wrench (1968) gives exact values of up to .
…
►uniformly for bounded real values of .
►
§5.11(ii) Error Bounds and Exponential Improvement
… ►For error bounds for (5.11.8) and an exponentially-improved extension, see Nemes (2013b). … ►For realistic error bounds in (5.11.14) see Frenzen (1987a, 1992). …27: 9.7 Asymptotic Expansions
…
►Numerical values of are given in Table 9.7.1 for to 2D.
…
►
§9.7(iii) Error Bounds for Real Variables
… ►§9.7(iv) Error Bounds for Complex Variables
►The th error term in (9.7.5) and (9.7.6) is bounded in magnitude by the first neglected term multiplied by … ►Corresponding bounds for the errors in (9.7.7) to (9.7.14) may be obtained by use of these results and those of §9.2(v) and their differentiated forms. …28: 3.4 Differentiation
29: 6.20 Approximations
…
►
•
►
•
►
•
…
Cody and Thacher (1968) provides minimax rational approximations for , with accuracies up to 20S.
Cody and Thacher (1969) provides minimax rational approximations for , with accuracies up to 20S.
MacLeod (1996b) provides rational approximations for the sine and cosine integrals and for the auxiliary functions and , with accuracies up to 20S.
30: Foreword
…
►November 20, 2009
…