Results 251 to 260 of about 36,503 (284)

A Power Mean Inequality for the Gamma Function

Monatshefte Fur Mathematik, 2000
In this interesting paper, the author extends a result due to \textit{L. G. Lucht} [Aequationes Math. 39, No. 2/3, 204-209 (1990; Zbl 0705.39002)] on convexity-like inequalities for Euler's gamma function, involving the geometric mean. Let \(x_j>0,\;p_j>0\;(1\leq j\leq n),\;p_1+\cdots +p_n=1\) and \(n\geq 2\).
Horst Alzer, Alzer Horst
exaly   +2 more sources

On refinements of some integral inequalities using improved power‐mean integral inequalities

Numerical Methods for Partial Differential Equations, 2020
AbstractIn this study, using power‐mean inequality and improved power‐mean integral inequality better approach than power‐mean inequality and an identity for differentiable functions, we get inequalities for functions whose derivatives in absolute value at certain power are convex.
Huriye Kadakal
exaly   +3 more sources

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