منابع مشابه
An Extension of Chebyshevs Inequality and Its Connection with Jensens Inequality
The aim of this paper is to show that Jensens Inequality and an extension of Chebyshevs Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one. 1. Introduction The well known fact that the derivative and the integral are inverse each other has a lot of interesting consequences, on...
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 کاملImproved logarithmic-geometric mean inequality and its application
In this short note, we present a refinement of the logarithmic-geometric mean inequality. As an application of our result, we obtain an operator inequality associated with geometric and logarithmic means.
متن کاملAn Improved Chen-ricci Inequality
Oprea proves that Ric(X) ≤ n−1 4 (c + n||H||) improving the Chen-Ricci inequality for Lagrangian submanifolds in complex space forms by using an optimization technique. In this article, we give an algebraic proof of the inequality and completely classify Lagrangian submanifolds in complex space forms satisfying the equality, which is not discussed in Oprea’s paper.
متن کاملSharp Form for Improved Moser-trudinger Inequality
S2 (|∇u| + 2u)}, and the equality holds if and only if eg is a metric of constant curvature. In the study of deforming metrics and prescribing curvatures on S, this inequality is often used to control the size and behavior of a new metric eg0 near a concentration point. With certain “balance” condition on the metric one would guess that if the metric concentrates, it should concentrate at more ...
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: Mathematical Inequalities & Applications
سال: 2017
ISSN: 1331-4343
DOI: 10.7153/mia-20-27