Stenger, Frank Approximations via Whittaker’s cardinal function. (English) Zbl 0332.41013 J. Approximation Theory 17, 222-240 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 56 Documents MSC: 41A30 Approximation by other special function classes 65D20 Computation of special functions and constants, construction of tables 65D15 Algorithms for approximation of functions PDFBibTeX XMLCite \textit{F. Stenger}, J. Approx. Theory 17, 222--240 (1976; Zbl 0332.41013) Full Text: DOI References: [1] Davis, P. J., Interpolation and Approximation (1963), Blaisdell: Blaisdell Waltham, Mass · Zbl 0111.06003 [2] Gabdulhaev, V. G., A general quadrature process and its application to the approximate solution of singular integral equations, Sov. Math. Dokl., 9, 386-389 (1968) · Zbl 0177.38901 [3] Goodrich, R. F.; Stenger, F., Movable singularities and quadrature, Math. Comp., 24, 283-299 (1970) · Zbl 0209.17803 [4] Goodwin, E. T., The evaluation of integrals of the form \(∝−∞^∞ à(x) e^{−x^2\) · Zbl 0033.07001 [5] Kresz, R., Interpolation auf einem unendlichen Intervall, Computing, 6, 274-288 (1970) · Zbl 0217.52201 [6] Martensen, E., Auf numerischen auswertung uneigentlicher Integrale, ZAMM, 48, T83-T85 (1968) · Zbl 0207.16202 [7] McNamee, J., Error bounds for the evaluation of integrals by the Euler-Maclaurin formula and by Gauss-type formulae, Math. Comp., 18, 368-381 (1964) · Zbl 0125.36202 [8] McNamee, J.; Stenger, F.; Whitney, E. L., Whittaker’s Cardinal Function in Retrospect, Math. Comp., 25, 141-154 (1971) · Zbl 0216.48502 [9] Moran, P. A.P., Approximate relation between series and integrals, Math. Comp., 12, 34-37 (1958) · Zbl 0084.11701 [10] Nörlund, N. E., Vorlesungen über Differenzenrechnung (1924), Springer: Springer Berlin · JFM 50.0315.02 [11] Schwartz, C., Numerical integration of analytic functions, Comput. Phys., 4, 191-201 (1967) [12] Squire, W., Numerical evaluation of integrals using Moran transformation, West Virginia, Aerospace Engineering report No. TR-14 (1969) [13] Stenger, F., The approximate solution of convolution-type integral equations, SIAM J. Math. Anal., 4, 536-555 (1973) · Zbl 0258.45005 [14] Stenger, F., Integration formulae based on the trapezoidal formula, J. Inst. Math. Appl., 12, 103-114 (1973) · Zbl 0262.65011 [15] Takahasi, H.; Mori, M., Quadrature formulas obtained by variable transformation, Numer. Math., 21, 206-219 (1973) · Zbl 0267.65016 [16] Timan, A. F., (Int. Ser. Monogr. Pure Appl. Math., Vol. 34 (1963), McMillan: McMillan New York), English transl. · Zbl 0125.03504 [17] Whittaker, E. T., On the functions which are represented by the expansions of the interpolation theory, (Proc. Roy. Soc. Edinburgh, 35 (1915)), 181-194 · JFM 45.0553.02 [18] Wittaker, J. M., On the cardinal function of interpolation theory, (Proc. Edinburgh Math. Soc. Ser. 1, 2 (1927)), 41-46 · JFM 53.0264.01 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.