归一化等压线性泛函的Mercer型不等式及其应用

IF 0.4 4区数学 Q4 MATHEMATICS

Publicationes Mathematicae-Debrecen Pub Date : 2023-01-01 DOI:10.5486/pmd.2023.9365

L. Horváth

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引用次数: 0

摘要

。本文给出了包含涅兹哥达不等式的归一化等压线性泛函的新的Mercer型不等式。我们处理了所得到的不等式的一些特殊形式，并研究了它们的一些改进。结果应用于由归一化等压线性泛函生成的均值。作为另一个应用，我们将Mercer不等式推广到凸(非凸)函数的算子不等式。这个结果的一个不寻常的特点是使用闭正规子代数而不是单个算子

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Mercer type inequalities for normalised isotonic linear functionals with applications

. In this paper we give new Mercer type inequalities for normalised isotonic linear functionals which contain Niezgoda’s inequality as a very special case. We deal with some particular forms of the obtained inequalities and study some reﬁnements of them. The results are applied to means generated by normalised isotonic linear functionals. As another application we extend Mercer’s inequality to an operator inequality for convex (not operator convex) functions. An unusual feature of this result is to use closed normal subalgebras instead of a single operator

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来源期刊

Publicationes Mathematicae-Debrecen 数学-数学

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

6 months

期刊介绍： Publicationes Mathematicae Debrecen appears quarterly and publishes original research papers on pure mathematical topics. It welcomes contributed papers that develop interesting, or important, new mathematical ideas and results or solve outstanding problems. All papers are refereed for correctness and suitability for publication. Publicationes Mathematicae Debrecen is covered by the Mathematical Reviews, Zentralblatt fur Mathematik, Scopus, the Web of Science, the Science Abstracts and the Science Citation Index.