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
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
  • [41] TWO NEW INTEGRAL INEQUALITIES VIA CONVEX FUNCTIONS
    Gurbuz, Mustafa
    Avci, Merve
    Kavurmaci, Havva
    [J]. ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 339 - +
  • [42] New Integral Inequalities for Product of Geometrically Convex Functions
    Akdemir, Ahmet Ocak
    Dutta, Hemen
    [J]. 4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019), 2020, 1111 : 315 - 323
  • [43] INTEGRAL INEQUALITIES VIA log m-CONVEX FUNCTIONS
    Noor, M. A.
    Noor, K., I
    Safdar, F.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 1155 - 1166
  • [44] SOME INTEGRAL INEQUALITIES FOR HARMONICALLY h-CONVEX FUNCTIONS
    Noor, M. Aslam
    Noor, K. Inayat
    Awan, M. Uzair
    Costache, Simona
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (01): : 5 - 16
  • [45] Integral inequalities of extended Simpson type for (α, m)-ε-convex functions
    Zhang, Jun
    Pei, Zhi-Li
    Xu, Gao-Chao
    Zou, Xiao-Hui
    Qi, Feng
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 122 - 129
  • [46] Inequalities for a Unified Integral Operator via (α, m)-Convex Functions
    Ni, Baizhu
    Farid, Ghulam
    Mahreen, Kahkashan
    [J]. JOURNAL OF MATHEMATICS, 2020, 2020
  • [47] Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
    Zhao, Dafang
    Ali, Muhammad Aamir
    Promsakon, Chanon
    Sitthiwirattham, Thanin
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [48] On some generalized integral inequalities for phi-convex functions
    Sarikaya, Mehmet Zeki
    Buyukeken, Meltem
    Kiris, Mehmet Eyup
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (03): : 367 - 377
  • [49] Integral inequalities of Simpson's type for (α, m)-convex functions
    Shuang, Ye
    Wang, Yan
    Qi, Feng
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 6364 - 6370
  • [50] Some Quantum Integral Inequalities for (p, h)-Convex Functions
    Kantalo, Jirawat
    Wannalookkhee, Fongchan
    Nonlaopon, Kamsing
    Budak, Huseyin
    [J]. MATHEMATICS, 2023, 11 (05)