Szegő–Szász inequality
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11—20 of 63 matching pages
11: 4.5 Inequalities
§4.5 Inequalities
►§4.5(i) Logarithms
… ►For more inequalities involving the logarithm function see Mitrinović (1964, pp. 75–77), Mitrinović (1970, pp. 272–276), and Bullen (1998, pp. 159–160). ►§4.5(ii) Exponentials
… ►(When the inequalities become equalities.) …12: 4.18 Inequalities
§4.18 Inequalities
►Jordan’s Inequality
… ►For more inequalities see Mitrinović (1964, pp. 101–111), Mitrinović (1970, pp. 235–265), and Bullen (1998, pp. 250–254).13: 5.6 Inequalities
14: 19.24 Inequalities
§19.24 Inequalities
►§19.24(i) Complete Integrals
… ►Other inequalities can be obtained by applying Carlson (1966, Theorems 2 and 3) to (19.16.20)–(19.16.23). … ► ►§19.24(ii) Incomplete Integrals
…15: Donald St. P. Richards
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►Richards has published numerous papers on special functions of matrix argument, harmonic analysis, multivariate statistical analysis, probability inequalities, and applied probability.
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16: 18.39 Applications in the Physical Sciences
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►Note that violation of the Favard inequality, possible when , results in a zero or negative weight function.
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►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).
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17: 10.14 Inequalities; Monotonicity
§10.14 Inequalities; Monotonicity
… ►Kapteyn’s Inequality
… ►For inequalities for the function with see Neuman (2004). …18: 13.22 Zeros
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19: Richard A. Askey
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►Another significant contribution was the Askey-Gasper inequality for Jacobi polynomials which was published in Positive Jacobi polynomial sums. II (with G.
…This inequality was a key element of Louis de Branges’ proof of the Bieberbach conjecture in 1985.
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