RADO S AND POPONOV S INEQUALITIES OF PROBABILITY MEASURES FOR POSITIVE REAL NUMBERS

• 발행기관: 충청수학회
• 저자명: Hosoo Lee Sejong Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 165~172쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

In this paper, we derive some valuable inequalities of Rado s and Poponov s types on the open interval of positive real numbers, and then show weighted generalizations of Rado s and Poponov s inequalities on the set of positive real numbers equipped with compactly supported probability measure.

목차

1. Introduction

2. Compactly supported measures

3. Power means of positive real numbers

4. Rado s inequality