cost of nikolov 365-becom/?id=1738

SearchAdvancedHelp

Your search matched, but the results seem poor.

See Search Help for suggestions.

(0.057 seconds)

5 matching pages

1: Software Index

… ►

This is software of narrow scope developed as a byproduct of a research project and subsequently made available at no cost to the public. The software is often meant to demonstrate new numerical methods or software engineering strategies which were the subject of a research project. When developed, the software typically contains capabilities unavailable elsewhere. While the software may be quite capable, it is typically not professionally packaged and its use may require some expertise. The software is typically provided as source code or via a web-based service, and no support is provided.

…

2: 18.16 Zeros

… ►See Dimitrov and Nikolov (2010), and Driver and Jordaan (2013). … ►

18.16.12 $$(n+2)x_{n,1}\ge {\left(n-1-\sqrt{n^2+(n+2)(\alpha +1)}\right)}^2-1,$$

ⓘ

Symbols:

$n$: nonnegative integer and $x$: real variable

Referenced by:

§18.16(iv), Erratum (V1.0.5) for Equations (18.16.12), (18.16.13), Erratum (V1.2.0) for Equations (18.16.12), (18.16.13)

Permalink:

http://dlmf.nist.gov/18.16.E12

Encodings:

pMML, png, TeX

Addition (effective with 1.0.5):

This bound, taken from Dimitrov and Nikolov (2010), replaces the weaker bound $x_{n,1}>2n+\alpha -2-{(1+4(n-1)(n+\alpha -1))}^{\frac{1}{2}}$, which had been taken from Ismail and Li (1992).

See also:

Annotations for §18.16(iv), §18.16(iv), §18.16 and Ch.18

►

18.16.13 $$(n+2)x_{n,n}\le {\left(n-1+\sqrt{n^2+(n+2)(\alpha +1)}\right)}^2-1.$$

ⓘ

Symbols:

$n$: nonnegative integer and $x$: real variable

Referenced by:

§18.16(iv), Erratum (V1.0.5) for Equations (18.16.12), (18.16.13), Erratum (V1.2.0) for Equations (18.16.12), (18.16.13)

Permalink:

http://dlmf.nist.gov/18.16.E13

Encodings:

pMML, png, TeX

Modification (effective with 1.0.5):

This bound, taken from Dimitrov and Nikolov (2010), replaces the weaker bound , which had been taken from Ismail and Li (1992).

See also:

Annotations for §18.16(iv), §18.16(iv), §18.16 and Ch.18

…

3: Bibliography N

… ►

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

ⓘ

External Links:

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

Referenced by:

§18.14(ii).

Encodings:

BibTeX

…

4: Bibliography D

… ►

Sharp bounds for the extreme zeros of classical orthogonal polynomials. J. Approx. Theory 162 (10), pp. 1793–1804.

ⓘ

External Links:

ISSN 0021-9045, Document, FullText, MathReview (Francisco Marcellán), ZentralBlatt

Referenced by:

(18.16.12), (18.16.13), §18.16(ii), §18.16(ii), §18.16(iv).

Encodings:

BibTeX

…

5: 18.14 Inequalities

… ►See Nikolov and Pillwein (2015) for a variant of (18.14.11) when $\alpha =\beta \in (-1,0]$. …