Kapteyn inequality

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31: Bibliography P

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An inequality for the Bessel function $J_{\nu }(\nu x)$ . SIAM J. Math. Anal. 15 (1), pp. 203–205.

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External Links:

ISSN 0036-1410, Document, MathReview (L. Debnath)

Referenced by:

§10.14, §10.37.

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Inequalities for the zeros of the Airy functions. SIAM J. Math. Anal. 22 (1), pp. 260–267.

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External Links:

ISSN 0036-1410, Document, MathReview, ZentralBlatt

Referenced by:

§9.9(iv).

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32: Bibliography S

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Norm inequalities for a certain class of $C^{\mathrm{\infty }}$ functions. Israel J. Math. 10, pp. 364–372.

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External Links:

Document, MathReview (V. Ganapathy Iyer), ZentralBlatt

Referenced by:

§24.17(ii).

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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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ISSN 0022-247X, Document, FullText, MathReview (Beyza Caliskan Aslan), ZentralBlatt

Referenced by:

§10.37, §10.37.

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Inequalities involving cylindrical functions of nearly equal argument and order. Proc. Amer. Math. Soc. 5 (3), pp. 337–344.

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ISSN 0002-9939, FullText, MathReview (N. D. Kazarinoff), ZentralBlatt

Referenced by:

§10.14.

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An inequality involving Bessel functions of argument nearly equal to their order. Proc. Amer. Math. Soc. 4 (6), pp. 858–859.

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External Links:

ISSN 0002-9939, FullText, MathReview (N. D. Kazarinoff), ZentralBlatt

Referenced by:

§10.14.

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On inequalities of the Turán type. Math. Scand. 2, pp. 65–73.

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External Links:

ISSN 0025-5521, FullText, MathReview (G. Szegő), ZentralBlatt

Referenced by:

§18.14(ii).

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33: 8.19 Generalized Exponential Integral

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§8.19(ix) Inequalities

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34: 11.4 Basic Properties

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§11.4(ii) Inequalities

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35: 18.4 Graphics

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Figure 18.4.2: Jacobi polynomials $P_n^{(1.25,0.75)}\left(x\right)$, $n=7,8$. This illustrates inequalities for extrema of a Jacobi polynomial; see (18.14.16). … Magnify

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36: 26.10 Integer Partitions: Other Restrictions

… ►Note that $p({𝒟}^{\prime }3,n)\le p(𝒟3,n)$, with strict inequality for $n\ge 9$. It is known that for $k>3$, $p(𝒟k,n)\ge p(\in A_{1,k+3},n)$, with strict inequality for $n$ sufficiently large, provided that $k=2^m-1,m=3,4,5$, or $k\ge 32$; see Yee (2004). …

37: Bibliography E

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On an integral inequality. Proc. Roy. Soc. London Ser. A 357, pp. 271–288.

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External Links:

ISSN 0962-8444, FullText, MathReview, ZentralBlatt

Referenced by:

§10.37.

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38: Bibliography M

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Inequalities for the zeros of Bessel functions. SIAM J. Math. Anal. 8 (1), pp. 166–170.

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ISSN 1095-7154, Document, MathReview (Mary L. Boas), ZentralBlatt

Referenced by:

§10.21(iv).

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Elementary Inequalities. P. Noordhoff Ltd., Groningen.

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Notes:

In cooperation with E. S. Barnes, D. C. B. Marsh, J. R. M. Radok. Tutorial Text, No. 1

External Links:

MathReview (N. D. Kazarinoff), ZentralBlatt

Referenced by:

§4.18, §4.32, §4.5(i), §4.5(ii).

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Analytic Inequalities. Springer-Verlag, New York.

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Notes:

Addenda: Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., no. 634–677 (1979), pp. 3–24 and no. 577-598 (1977), pp. 3–10.

External Links:

MathReview (R. A. Askey and R. P. Boas, Jr.), ZentralBlatt

Referenced by:

§4.18, §4.32, §4.5(i), §4.5(ii), §7.8.

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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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ISSN 0895-7177, Document, FullText, MathReview (Emil C. Popa)

Referenced by:

§5.6(i).

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39: 1.2 Elementary Algebra

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Inequalities

… ►we have Hölder’s Inequality …which for $p=q=2$ is the Cauchy-Schwartz inequality …The triangle inequality, …For similar and more inequalities see §1.7(i). …

40: 19.14 Reduction of General Elliptic Integrals

… ►The choice among 21 transformations for final reduction to Legendre’s normal form depends on inequalities involving the limits of integration and the zeros of the cubic or quartic polynomial. …