Jordan inequality

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21: Donald St. P. Richards

… ►Richards has published numerous papers on special functions of matrix argument, harmonic analysis, multivariate statistical analysis, probability inequalities, and applied probability. …

22: 10.14 Inequalities; Monotonicity

§10.14 Inequalities; Monotonicity

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Kapteyn’s Inequality

… ►For inequalities for the function $\mathrm{\Gamma }\left(\nu +1\right){(2/x)}^{\nu }{J}_{\nu }\left(x\right)$ with $\nu >-\frac{1}{2}$ see Neuman (2004). …

23: 13.22 Zeros

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24: Richard A. Askey

… ►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. …

25: 19.9 Inequalities

§19.9 Inequalities

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§19.9(i) Complete Integrals

… ►Other inequalities are: … ►

§19.9(ii) Incomplete Integrals

… ►Simple inequalities for incomplete integrals follow directly from the defining integrals (§19.2(ii)) together with (19.6.12): …

26: Bibliography J

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Calculus of Finite Differences. Hungarian Agent Eggenberger Book-Shop, Budapest.

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Notes:

Third edition published in 1965 by Chelsea Publishing Co., New York, and American Mathematical Society, AMS Chelsea Book Series, Providence, RI

External Links:

MathReview (W. E. Milne), ZentralBlatt

Referenced by:

§26.1, §26.1, §26.8(vii), §5.16, Notations S.

Encodings:

BibTeX

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Calculus of Finite Differences. 3rd edition, AMS Chelsea, Providence, RI.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§24.17(i), §24.6.

Encodings:

BibTeX

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27: 8.10 Inequalities

§8.10 Inequalities

… ►The inequalities in (8.10.1) and (8.10.2) are reversed when $a\ge 1$. …For further inequalities of these types see Qi and Mei (1999) and Neuman (2013). …

28: 16.23 Mathematical Applications

… ►In the proof of this conjecture de Branges (1985) uses the inequality …The proof of this inequality is given in Askey and Gasper (1976). …

29: Bibliography N

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Inequalities involving Bessel functions of the first kind. JIPAM. J. Inequal. Pure Appl. Math. 5 (4), pp. Article 94, 4 pp. (electronic).

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External Links:

ISSN 1443-5756, FullText, MathReview, ZentralBlatt

Referenced by:

§10.14.

Encodings:

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Inequalities and bounds for the incomplete gamma function. Results Math. 63 (3-4), pp. 1209–1214.

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External Links:

ISSN 1422-6383, Document, FullText, MathReview (Pierpaolo Natalini), ZentralBlatt

Referenced by:

§8.10, §8.10.

Encodings:

BibTeX

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An extension of Turán’s inequality. Math. Inequal. Appl. 18 (1), pp. 321–335.

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External Links:

ISSN 1331-4343, Document, Link, MathReview (Gradimir V. Milovanovic), ZentralBlatt

Referenced by:

§18.14(ii).

Encodings:

BibTeX

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30: 24.6 Explicit Formulas

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