STEFFENSEN'S INEQUALITY ON TIME SCALES FOR CONVEX FUNCTIONS

被引：1
|
作者：
Iddrisu, Mohammed Muniru [1 ]
机构：
[1] Univ Dev Studies, Fac Math Sci, Dept Math, POB 24,Navrongo Campus, Navrongo, Ghana
来源：
HONAM MATHEMATICAL JOURNAL | 2019年 / 41卷 / 01期
关键词：
Steffensen's Inequality; Convex functions; Time Scales; BELLMAN GENERALIZATION;
D O I：
10.5831/HMJ.2019.41.1.89
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Steffensen's Inequality was discovered in 1918 by Johan Frederic Steffensen (1873-1961). This inequality is very popular in the research environment and attracted the attention of many people working in similar area. Various extensions and generalisations have been provided concerning the inequality. This paper presents some further refinements of the Steffensen's Inequality on Time scales using methods of convexity, differentiability and monotonicity.
引用
收藏
页码：89 / 99
页数：11
相关论文
共 50 条
  • [1] On the Jensen-Steffensen inequality for generalized convex functions
    M. Klaričić Bakula
    A. Matković
    J. Pečarić
    Periodica Mathematica Hungarica, 2007, 55 : 19 - 34
  • [2] Generalization of Steffensen's inequality for higher order convex function involving extensions of montgomery identities on time scales
    Khan, Khuram Ali
    Nosheen, Ammara
    Malik, Sumaiya
    Kashif, Muhammad
    Mabela, Rostin Matendo
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2023, 31 (01):
  • [3] SUBDIFFERENTIALS OF CONVEX FUNCTIONS ON TIME SCALES
    Wyrwas, Malgorzata
    Mozyrska, Dorota
    Girejko, Ewa
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (02) : 671 - 691
  • [4] Convex Functions on Time Scales
    Dinu, Cristian
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2008, 35 : 87 - 96
  • [5] HERMITE-HADAMARD INEQUALITY FOR A CERTAIN CLASS OF CONVEX FUNCTIONS ON TIME SCALES
    Fagbemigun, B. O.
    Mogbademu, A. A.
    Olaleru, J. O.
    HONAM MATHEMATICAL JOURNAL, 2022, 44 (01): : 17 - 25
  • [6] Refinements of Hermite-Hadamard inequality for Fh-convex functions on time scales
    Fagbemigun, B. O.
    Mogbademu, A. A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 2279 - 2292
  • [7] INEQUALITIES FOR CONVEX FUNCTIONS ON TIME SCALES
    Ekinci, Alper
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (01): : 64 - 72
  • [8] SOME CLASSES OF CONVEX FUNCTIONS ON TIME SCALES
    Bosede, Fagbemigun Opeyemi
    Mogbademu, Adesanmi
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (01): : 11 - 28
  • [9] New Steffensen Type Inequalities Involving Convex Functions
    Pecaric, Josip
    Kalamir, Ksenija Smoljak
    RESULTS IN MATHEMATICS, 2015, 67 (1-2) : 217 - 234
  • [10] New Steffensen Type Inequalities Involving Convex Functions
    Josip Pečarić
    Ksenija Smoljak Kalamir
    Results in Mathematics, 2015, 67 : 217 - 234
12345