Results 231 to 240 of about 25,300 (266)

An Inequality for Gamma Functions

Canadian Mathematical Bulletin, 1978
By using Bellman-Wishart distribution, Bellman [1], an inequality for gamma functions is derived. This inequality generalizes a recent inequality given by Selliah [4].
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Inequalities for Appell Functions

Journal of Mathematical Physics, 1970
The asymptotic expansion of one of Appell's generalizations of the Jacobi function is given for one parameter becoming large while the other is kept fixed. Inequalities are given which may be useful when both parameters become large.
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On gamma function inequalities

Scandinavian Actuarial Journal, 1973
Watson's method [1] is used to find two convergent monotonically non-decreasing sequences whose upper bounds are equal to Γ(l)Γ(l∓2a)/Γ2(l∓a) ( = K say), provided l > max (0, - 2a). Boyd [2] showed that Gurland's inequality [3] for K corresponds to the first term of the first sequence; Raja Rao's inequality [4] corresponds to the second term of the ...
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An Inequality for a Multidimensional Characteristic Function

Theory of Probability & Its Applications, 1992
See the review Zbl 0732.60017.
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Inequalities for the Zeros of Bessel Functions

SIAM Journal on Mathematical Analysis, 1977
Let $j_{p,n} $, $j'_{p,n} $ denote the nth positive zeros of $J_p $, $J'_p $ respectively. It is shown that both $p^{ - 1} j_{p,n} $ and $p^{ - 1} j'_{p,n} $ are strictly decreasing functions of p.
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An inequality for the function π(n)

Periodica Mathematica Hungarica, 2013
Let \(\pi(n)\) denote, as usual, the number of primes \(p\leq n\). The author proves that the inequality \(\pi^2(m) +\pi^2(n)\leq \frac{5}{4} \pi^2(m+n)\) holds for all integers \(m, n \geq 2\) and the constant \(5/4\) is sharp. The converse inequality \(\frac1{2} \pi^2(m+n)\leq \pi^2(m) + \pi^2(n)\) (\(m,n\geq 2\)) was obtained by \textit{L ...
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Inequalities for h-preinvex functions

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An inequality for quasi-convex functions

Applicable Analysis, 1982
In this paper we prove that a real quasi-convex function ƒ satisfies, for any measurable set S symmetric with respect the point x0 the inequality: where mis S denotes the measure of S. Also we prove that the inequality (1) characterizes a quasi- convex function if S belongs to a suitable family of symmetric sets.
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Generalized Halanay inequalities for stability and dissipativity of stochastic functional differential equations

Systems and Control Letters, 2023
Dehao Ruan, Yantao Shi
exaly  

Functional Inequalities

Journal of the London Mathematical Society, 1947
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