Results 31 to 39 of about 188 (39)
Further improvements of Young inequality
, 2017 We focus on the improvements for Young inequality. We give elementary proof for known results by Dragomir, and we give remarkable notes and some comparisons.
Furuichi, Shigeru
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Abel-type inequalities, complex numbers and Gauss-Pólya type integral inequalities [PDF]
, 1998 We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreasing sequences. Striking complex analogues are presented. The inequalities on the real domain are used to derive new integral inequalities related to those
C. E. D. Pearce +2 more
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New generalization of discrete Montgomery identity with applications [PDF]
, 2016 In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a refinement of an inequality derived by B.G. Pachpatte in 2007 is presented.
Díaz Barrero, José Luis +1 more
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Continued fraction digit averages an Maclaurin's inequalities [PDF]
, 2014 A classical result of Khinchin says that for almost all real numbers $\alpha$, the geometric mean of the first $n$ digits $a_i(\alpha)$ in the continued fraction expansion of $\alpha$ converges to a number $K = 2.6854520\ldots$ (Khinchin's constant) as ...
Cellarosi, Francesco +3 more
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On isoperimetric inequalities with respect to infinite measures [PDF]
, 2011 We study isoperimetric problems with respect to infinite measures on $R ^n$. In the case of the measure $\mu$ defined by $d\mu = e^{c|x|^2} dx$, $c\geq 0$, we prove that, among all sets with given $\mu-$measure, the ball centered at the origin has the ...
Brock, F. +2 more
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Symmetrization Inequalities for Composition Operators of Carathéodory Type [PDF]
, 2017 Let F:(0, ∞) × [0, ∞) → R be a function of Carathéodory type. We establish the inequality $$ \int_{\mathbb{R}^{N}} F( | x |, u(x) ) dx \leq \int_{\mathbb{R}^{N} } F( | x |, u^{\ast}(x)) dx.
Hajaiej, H., Stuart, C. A.
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Characterization of intermediate values of the triangle inequality II
Open Mathematics, 2014 Sano Hiroki +4 more
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A class of retarded nonlinear integral inequalities and its application in nonlinear differential-integral equation [PDF]
, 2012 Wu-Sheng Wang
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