Bounds in Normed Spaces Using Convex Functions

被引：0

作者：

Sababheh, Mohammad ^{[1
]}

Furuichi, Shigeru ^{[2
,3
]}

Minculete, Nicusor ^{[4
]}

Moradi, Hamid Reza ^{[5
]}

机构：

[1] Princess Sumaya Univ Technol, Amman, Jordan

[2] Nihon Univ, Dept Informat Sci, Tokyo, Japan

[3] Saveetha Sch Engn, Dept Math, Chennai, Tamilnadu, India

[4] Transilvania Univ Brasov, Dept Math & Comp Sci, Transilvania, Romania

[5] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

来源：

IRANIAN JOURNAL OF SCIENCE | 2025年 / 49卷 / 02期

关键词：

Angular distance; Inequality in inner product spaces; Gradient inequality for convex functions; L & ouml; wner partial order; INEQUALITIES;

D O I：

10.1007/s40995-024-01730-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present several new bounds in normed spaces, with applications towards subadditivity behavior and angular distances, in these spaces, with an additional application towards Hilbert space operators. The main tool we use to establish our results is the treatment of convex functions and their properties.

引用

页码：419 / 426

页数：8

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