A SHARPENING OF A PROBLEM ON BERNSTEIN POLYNOMIALS AND CONVEX FUNCTIONS

被引：13

作者：

Abel, Ulrich ^{[1
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Tech Hsch Mittelhessen, Fachbereich MND, Wilhelm Leuschner Str 13, D-61169 Friedberg, Germany

[2] Tech Univ Cluj Napoca, Dept Math, RO-400114 Cluj Napoca, Romania

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2018年 / 21卷 / 03期

关键词：

Inequalities for polynomials; Functional inequalities including convexity; AG INEQUALITY; RASA;

D O I：

10.7153/mia-2018-21-55

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an elementary proof of a conjecture by I. Rap which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive very recently by the use of stochastic convex orderings.

引用

页码：773 / 777

页数：5

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