Askey?Gasper inequality

SearchAdvancedHelp

(0.012 seconds)

1—10 of 65 matching pages

1: 1.7 Inequalities

§1.7 Inequalities

… ►

Cauchy–Schwarz Inequality

… ►

Minkowski’s Inequality

… ►

Cauchy–Schwarz Inequality

… ►

§1.7(iv) Jensen’s Inequality

…

2: Edward Neuman

… ►Neuman has published several papers on approximations and expansions, special functions, and mathematical inequalities. …

3: 4.32 Inequalities

§4.32 Inequalities

… ►For these and other inequalities involving hyperbolic functions see Mitrinović (1964, pp. 61, 76, 159) and Mitrinović (1970, p. 270).

4: 6.8 Inequalities

§6.8 Inequalities

…

5: Bibliography Q

… ►

Some inequalities of the incomplete gamma and related functions. Z. Anal. Anwendungen 18 (3), pp. 793–799.

ⓘ

External Links:

ISSN 0232-2064, FullText, MathReview (Richard B. Paris), ZentralBlatt

Referenced by:

§8.10.

Encodings:

BibTeX

►

A new lower bound in the second Kershaw’s double inequality. J. Comput. Appl. Math. 214 (2), pp. 610–616.

ⓘ

External Links:

ISSN 0377-0427, Document, FullText, MathReview (Mehdi Hassani), ZentralBlatt

Referenced by:

§5.6(i), §5.6(i).

Encodings:

BibTeX

…

6: 10.37 Inequalities; Monotonicity

§10.37 Inequalities; Monotonicity

… ►For sharper inequalities when the variables are real see Paris (1984) and Laforgia (1991). …

7: 18.14 Inequalities

§18.14 Inequalities

… ► … ►

Legendre

… ►

Jacobi

… ►

Szegő–Szász Inequality

…

8: 7.8 Inequalities

§7.8 Inequalities

… ►

7.8.7 $x>0$.

ⓘ

Symbols:

$F\left(z\right)$: Dawson’s integral, $dx$: differential of $x$ , $\mathrm{e}$: base of natural logarithm, $\sinh z$: hyperbolic sine function, $\int$: integral and $x$: real variable

Referenced by:

Erratum (V1.1.5) for Additions

Permalink:

http://dlmf.nist.gov/7.8.E7

Encodings:

pMML, png, TeX

Addition (effective with 1.1.5):

A new inequality was added.

See also:

Annotations for §7.8 and Ch.7

… ►

7.8.8 $x>0$.

ⓘ

Symbols:

$\pi$: the ratio of the circumference of a circle to its diameter, $\mathrm{erf}z$: error function, $\mathrm{e}$: base of natural logarithm and $x$: real variable

Source:

Pólya (1949, (1.5))

Referenced by:

§7.8, Erratum (V1.0.17) for Equation (7.8.8)

Permalink:

http://dlmf.nist.gov/7.8.E8

Encodings:

pMML, png, TeX

Addition (effective with 1.0.17):

This inequality was added. It is Pólya (1949, (1.5)). Note that it is a special case of (8.10.11).

Suggested by Roberto Iacono

See also:

Annotations for §7.8 and Ch.7

9: 24.9 Inequalities

§24.9 Inequalities

►Except where otherwise noted, the inequalities in this section hold for $n=1,2,\mathrm{\dots }$. …

10: 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 $x=0$ the inequalities become equalities.) …