A new generalization of some integral inequalities for (α,m)-convex functions

被引：24
|
作者：
İşcan İ. [1 ]
机构：
[1] Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun
来源：
Mathematical Sciences | 2013年 / 7卷 / 1期
关键词：
m)-Convex function; Hermite-Hadamard’s inequality; Midpoint inequality; Simpson type inequality; Trapezoid inequality;
D O I：
10.1186/2251-7456-7-22
中图分类号：
学科分类号：
摘要：
In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are (α,m)-convex. © 2013, İşcan; licensee Springer.
引用
收藏
相关论文
共 50 条
  • [1] Some new integral inequalities for (s, m)-convex and (α, m)-convex functions
    Bayraktar, B.
    Kudaev, V. Ch.
    [J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2019, 94 (02): : 15 - 25
  • [2] A new generalization of some quantum integral inequalities for quantum differentiable convex functions
    Li, Yi-Xia
    Ali, Muhammad Aamir
    Budak, Huseyin
    Abbas, Mujahid
    Chu, Yu-Ming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [3] A new generalization of some quantum integral inequalities for quantum differentiable convex functions
    Yi-Xia Li
    Muhammad Aamir Ali
    Hüseyin Budak
    Mujahid Abbas
    Yu-Ming Chu
    [J]. Advances in Difference Equations, 2021
  • [4] SOME INTEGRAL INEQUALITIES FOR THE NEW CONVEX FUNCTIONS
    Maden, Selahattin
    Demirel, Ayse Kubra
    Turhan, Sercan
    Iscan, Imdat
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 9 (03): : 305 - 312
  • [5] ON SOME INTEGRAL INEQUALITIES FOR (s, m)-CONVEX FUNCTIONS
    Bayraktar, B.
    Gurbuz, M.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (02): : 288 - 295
  • [6] GENERALIZATION OF INTEGRAL INEQUALITIES FOR PRODUCT OF CONVEX FUNCTIONS
    Latif, M. A.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 5 (02): : 185 - 190
  • [7] Refinements of Some Integral Inequalities for (s, m)-Convex Functions
    Farid, Ghulam
    Chu, Yu-Ming
    Andric, Maja
    Jung, Chahn Yong
    Pecaric, Josip
    Kang, Shin Min
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [8] SOME INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Kavurmaci, Havva
    Avci, Merve
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (03): : 253 - 259
  • [9] On Generalization of Different Integral Inequalities for Harmonically Convex Functions
    Reunsumrit, Jiraporn
    Vivas-Cortez, Miguel J.
    Ali, Muhammad Aamir
    Sitthiwirattham, Thanin
    [J]. SYMMETRY-BASEL, 2022, 14 (02):
  • [10] New integral inequalities in the class of functions ( h, m )-convex
    Napoles, J. E.
    Guzman, P. M.
    Bayraktar, B.
    [J]. IZVESTIYA OF SARATOV UNIVERSITY MATHEMATICS MECHANICS INFORMATICS, 2024, 24 (02): : 173 - 183
12345