Bounds in Normed Spaces Using Convex Functions

被引：0
|
作者：
Mohammad Sababheh [1 ]
Shigeru Furuichi [2 ]
Nicuşor Minculete [3 ]
Hamid Reza Moradi [4 ]
机构：
[1] Princess Sumaya University for Technology,Department of Information Science
[2] Nihon University,Department of Mathematics
[3] Saveetha School of Engineering,Department of Mathematics and Computer Science
[4] Transilvania University of Brasov,Department of Mathematics
[5] Mashhad Branch,undefined
[6] Islamic Azad University,undefined
来源：
Iranian Journal of Science | 2025年 / 49卷 / 2期
关键词：
Angular distance; Inequality in inner product spaces; Gradient inequality for convex functions; Löwner partial order; Primary 26A51; 46C99; Secondary 26D20; 47A60;
D O I：
10.1007/s40995-024-01730-9
中图分类号：
学科分类号：
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.
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页码：419 / 426
页数：7
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