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.
引用
收藏
页码：419 / 426
页数：7
相关论文
共 50 条
  • [31] On asphericity of convex bodies in linear normed spaces
    Nashat Faried
    Ahmed Morsy
    Aya M. Hussein
    Journal of Inequalities and Applications, 2018
  • [32] Convex Analysis in Normed Spaces and Metric Projections onto Convex Bodies
    Balestro, Vitor
    Martini, Horst
    Teixeira, Ralph
    JOURNAL OF CONVEX ANALYSIS, 2021, 28 (04) : 1223 - 1248
  • [33] Differentiable Functions on Normed Linear Spaces
    Shidama, Yasunari
    FORMALIZED MATHEMATICS, 2012, 20 (01): : 31 - 40
  • [34] Differentiable Functions into Real Normed Spaces
    Okazaki, Hiroyuki
    Endou, Noboru
    Narita, Keiko
    Shidama, Yasunari
    FORMALIZED MATHEMATICS, 2011, 19 (02): : 69 - 72
  • [35] NORMED LINEAR SPACES OF CONTINUOUS FUNCTIONS
    MYERS, SB
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 56 (03) : 233 - 241
  • [36] On Wigner's theorem in strictly convex normed spaces
    Ilisevic, Dijana
    Turnsek, Aleksej
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2020, 97 (3-4): : 393 - 401
  • [37] METRIC SUBREGULARITY FOR NONCLOSED CONVEX MULTIFUNCTIONS IN NORMED SPACES
    Zheng, Xi Yin
    Ng, Kung Fu
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (03) : 601 - 617
  • [38] Lower bounds for embedding edit distance into normed spaces
    Andoni, A
    Deza, M
    Gupta, A
    Indyk, P
    Raskhodnikova, S
    PROCEEDINGS OF THE FOURTEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2003, : 523 - 526
  • [39] INTERSECTION OF 2 MOBILE CONVEX SPACES IN NORMED SPACE
    MOREAU, JJ
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1973, 276 (23): : 1505 - 1508
  • [40] NORMED VECTOR SPACES CONSISTING OF CLASSES OF CONVEX SETS
    EWALD, G
    SHEPHARD, GC
    MATHEMATISCHE ZEITSCHRIFT, 1966, 91 (01) : 1 - &
12345