Improved version of Bohr's inequality
نویسندگان
چکیده
منابع مشابه
A Version of Favard's Inequality for the Sugeno Integral
In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.
متن کاملImproved Cramer-Rao Inequality for Randomly Censored Data
As an application of the improved Cauchy-Schwartz inequality due to Walker (Statist. Probab. Lett. (2017) 122:86-90), we obtain an improved version of the Cramer-Rao inequality for randomly censored data derived by Abdushukurov and Kim (J. Soviet. Math. (1987) pp. 2171-2185). We derive a lower bound of Bhattacharya type for the mean square error of a parametric function based on randomly censor...
متن کاملA Stability Version of Hölder’s Inequality
In the field of geometric inequalities, the expression Bonnesen type is used after Bonnesen clasical refinement of the isoperimetric inequality (cf., for instance, [Os1], [Os2]), where the deviation from the case of equality (the disc) is given in terms of the outer radius and the inradius of a bounded convex body. The term stability type inequality is also used in a related way (cf. [Gr]), mea...
متن کاملOn a strengthened version of Hardy’s inequality
On the basis of analytic method and skill, a strengthened version of well-known Hardy's inequality is obtained. In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.
متن کاملThe Integral Version of Popoviciu’s Inequality
T. Popoviciu [7] has proved in 1965 an interesting characterization of the convex functions of one real variable, relating the arithmetic mean of its values and the values taken at the barycenters of certain subfamilies of the given family of points. The aim of our paper is to prove an integral analogue. Most of the people think that passing from a discrete inequality to its integral counterpar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2018
ISSN: 1631-073X
DOI: 10.1016/j.crma.2018.01.010