upper bounds

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1: 18.14 Inequalities

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§18.14(i) Upper Bounds

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Jacobi

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Ultraspherical

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Laguerre

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Hermite

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2: Mathematical Introduction

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$ℂ$	complex plane (excluding infinity).
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$sup$	least upper bound (supremum).
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3: 7.8 Inequalities

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4: Bibliography Q

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“Best possible” upper and lower bounds for the zeros of the Bessel function $J_{\nu }(x)$ . Trans. Amer. Math. Soc. 351 (7), pp. 2833–2859.

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External Links:

ISSN 0002-9947, FullText, MathReview (Andrea Laforgia), ZentralBlatt

Referenced by:

§10.21(vii).

Encodings:

BibTeX

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5: Bibliography E

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An upper bound for the zeros of the derivative of Bessel functions. Rend. Circ. Mat. Palermo (2) 46 (1), pp. 123–130.

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External Links:

ISSN 0009-725X, MathReview (Boro Döring), ZentralBlatt

Referenced by:

§10.21(vii).

Encodings:

BibTeX

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6: 7.19 Voigt Functions

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7: 27.13 Functions

… ►Some upper bounds smaller than $g\left(k\right)$ are known. …

8: 3.1 Arithmetics and Error Measures

… ►The lower and upper bounds for the absolute values of the nonzero machine numbers are given by …

9: 18.40 Methods of Computation

… ►The bottom and top of the steps at the $x_i$ are lower and upper bounds to ${\int }_a^{x_i}d\mu (x)$ as made explicit via the Chebyshev inequalities discussed by Shohat and Tamarkin (1970, pp. 42–43). …

10: 30.15 Signal Analysis

… ►The maximum (or least upper bound) $\mathrm{B}$ of all numbers …