maxima and minima

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1: 18.14 Inequalities

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§18.14(iii) Local Maxima and Minima

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Jacobi

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Laguerre

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2: 8.10 Inequalities

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8.10.5 $x>0$, ,

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Symbols:

$\mathrm{e}$: base of natural logarithm, $\mathrm{\Gamma }(a,z)$: incomplete gamma function, $x$: real variable, $a$: parameter, $n$: nonnegative integer, $A_n$: minima and $B_n$: maxima

Permalink:

http://dlmf.nist.gov/8.10.E5

Encodings:

pMML, png, TeX

See also:

Annotations for §8.10, §8.10 and Ch.8

►where …

3: 5.6 Inequalities

§5.6 Inequalities

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4: 6.16 Mathematical Applications

… ►Hence, if $x$ is fixed and $n\to \mathrm{\infty }$, then $S_n(x)\to \frac{1}{4}\pi$, $0$, or $-\frac{1}{4}\pi$ according as , $x=0$, or ; compare (6.2.14). …

5: 1.4 Calculus of One Variable

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Maxima and Minima

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§1.4(vii) Maxima and Minima

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6: 1.5 Calculus of Two or More Variables

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§1.5(iii) Taylor’s Theorem; Maxima and Minima

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7: Bibliography L

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On the maxima and minima of Bernoulli polynomials. Amer. Math. Monthly 47 (8), pp. 533–538.

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External Links:

FullText, MathReview (W. E. Milne), ZentralBlatt

Referenced by:

§24.12(i), §24.9.

Encodings:

BibTeX

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8: 3.11 Approximation Techniques

… ►approximately, and the right-hand side enjoys exactly those properties concerning its maxima and minima that are required for the minimax approximation; compare Figure 18.4.3. …