An inequality related to eta-convex functions (II)

被引：0
|
作者：
Gordji, M. Eshaghi [1 ]
Dragomir, S. S. [2 ]
Delavar, M. Rostamian [1 ]
机构：
[1] Semnan Univ, Dept Math, POB 35195-363, Semnan, Iran
[2] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2015年 / 6卷 / 02期
关键词：
eta-convex function; Hermite-Hadamard-Fejer inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the notion of eta-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula.
引用
收藏
页码：27 / 33
页数：7
相关论文
共 35 条
  • [1] A New Advanced Class of Convex Functions with Related Results
    Khan, Muhammad Adil
    Adnan
    Saeed, Tareq
    Nwaeze, Eze R.
    AXIOMS, 2023, 12 (02)
  • [2] On Kuhn-Tucker Problem Related to η-Convex Functions
    Delavar, M. Rostamian
    De La Sen, M.
    JOURNAL OF MATHEMATICAL EXTENSION, 2019, 13 (02) : 123 - 136
  • [3] A note on generalized convex functions
    Ullah, Syed Zaheer
    Adil Khan, Muhammad
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [4] Strongly(η,ω)-convex functions with nonnegative modulus
    Tameru, Ana M.
    Nwaeze, Eze R.
    Kermausuor, Seth
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01):
  • [5] Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation
    Khan, Muhammad Bilal
    Stevic, Zeljko
    Maash, Abdulwadoud A.
    Noor, Muhammad Aslam
    Soliman, Mohamed S.
    AXIOMS, 2023, 12 (04)
  • [6] SOME NEW WIRTINGER TYPE INEQUALITIES FOR η-CONVEX FUNCTIONS
    Set, Erhan
    Akdemir, Ahmet Ocak
    Sahin, Eda
    PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1, 2020, : 368 - 370
  • [7] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities
    Khan, Muhammad Bilal
    Santos-Garcia, Gustavo
    Noor, Muhammad Aslam
    Soliman, Mohamed S.
    CHAOS SOLITONS & FRACTALS, 2022, 164
  • [8] Generalized integral inequalities for convex functions on the co-ordinates
    Butt, Saad Ihsan
    Kashuri, Artion
    Nadeem, Muhammad
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (03) : 81 - 94
  • [9] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS
    Aslani, S. Mohammadi
    Delavar, M. Rostamian
    Vaezpour, S. M.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (01) : 17 - 33
  • [10] Weighted Ostrowski type inequalities for co-ordinated convex functions
    Budak, Huseyin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
1234