Extensions in Time Scales Integral Inequalities of Jensen's Type via Fink's Identity

被引：0
|
作者：
Bibi, Rabia [1 ]
Nosheen, Ammara [2 ]
Pecaric, Josip [3 ]
机构：
[1] Abbottabad Univ Sci & Technol, Dept Math, Havelian, Abbottabad, Pakistan
[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[3] Rudn Univ, Dept Math, 6 Miklukho Maklay St, Moscow 117198, Russia
来源：
MATHEMATICA SLOVACA | 2023年 / 73卷 / 03期
关键词：
Time scales integrals; Jensen's inequality; Jensen-Steffensen inequality; Green's function; Fink's identity; BOUNDS;
D O I：
10.1515/ms-2023-0048
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using Fink's identity and Green's function, we obtain several extensions of Jensen's inequality, Jensen-Steffensen inequality, and the converse of Jensen's inequality for diamond integrals. Functions involved in these extensions are n-convex functions, n is an element of Z+. Some bounds for related identities are also part of the discussion. An improved Holder's inequality is obtained as an application of improved Jensen's inequality.
引用
收藏
页码：657 / 674
页数：18
相关论文
共 50 条
  • [31] Extensions of Holder-type inequalities on time scales and their applications
    Tian, Jing-Feng
    Ha, Ming-Hu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 937 - 953
  • [32] REFINEMENTS OF DETERMINANTAL INEQUALITIES OF JENSEN'S TYPE
    Horvath, L.
    Khan, Kh. A.
    Pecaric, J.
    EURASIAN MATHEMATICAL JOURNAL, 2015, 6 (03): : 30 - 44
  • [33] SOME OSTROWSKI TYPE INTEGRAL INEQUALITIES FOR DOUBLE INTEGRAL ON TIME SCALES
    Irshad, Wajeeha
    Bhatti, Muhammad Iqbal
    Muddassar, Muhammad
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (05) : 914 - 927
  • [34] Guessab-Schmeisser inequality via Fink identity on time scales with applications
    Sabir Hussain
    Ifrah Urooj
    Sever Silvestru Dragomir
    Muhammad Amer Latif
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [35] Guessab-Schmeisser inequality via Fink identity on time scales with applications
    Hussain, Sabir
    Urooj, Ifrah
    Dragomir, Sever Silvestru
    Latif, Muhammad Amer
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
  • [36] Opial's type inequalities on time scales and some applications
    Saker, S. H.
    ANNALES POLONICI MATHEMATICI, 2012, 104 (03) : 243 - 260
  • [37] Some New Inequalities of Opial's Type on Time Scales
    Saker, Samir H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [38] Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second senseOstrowski and Jensen-type inequalities and generalized convexity
    Miguel José Vivas-Cortez
    Jorge Eliecer Hernández Hernández
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 287 - 302
  • [39] Jensen-type inequalities for Sugeno integral
    Abbaszadeh, Sadegh
    Gordji, Madjid Eshaghi
    Pap, Endre
    Szakal, Aniko
    INFORMATION SCIENCES, 2017, 376 : 148 - 157
  • [40] INTEGRAL INEQUALITIES OF LEVINSON'S TYPE IN TIME SCALE SETTINGS
    Baric, Josipa
    Pecaric, Josip
    Radisic, Dajana
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1477 - 1491
12345