On new general integral inequalities for s-convex functions

被引：3
|
作者：
Iscan, Imdat [1 ]
Set, Erhan [2 ]
Ozdemir, M. Emin [3 ]
机构：
[1] Giresun Univ, Fac Arts & Sci, Dept Math, TR-28100 Giresun, Turkey
[2] Ordu Univ, Fac Arts & Sci, Dept Math, TR-52200 Ordu, Turkey
[3] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 246卷
关键词：
Convex function; s-Convex function; Simpson's inequality; Hermite-Hadamard's inequality; HADAMARD-TYPE;
D O I：
10.1016/j.amc.2014.08.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：306 / 315
页数：10
相关论文
共 50 条
  • [31] New Hermite-Hadamard Type Inequalities Obtained via Fractional Integral for Differentiable s-Convex Functions
    Set, Erhan
    Karatas, Suleyman Sami
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [32] Operator inequalities associated with the Kantorovich type inequalities for s-convex functions
    Nikoufar, Ismail
    Saeedi, Davuod
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 54 (4): : 1268 - 1277
  • [33] Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
    Serap Özcan
    İmdat İşcan
    Journal of Inequalities and Applications, 2019
  • [34] MILNE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS
    Djenaoui, Meriem
    Meftah, Badreddine
    HONAM MATHEMATICAL JOURNAL, 2022, 44 (03): : 325 - 338
  • [35] NEW INEQUALITIES OF OSTROWSKI'S TYPE FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE WITH APPLICATIONS
    Set, Erhan
    Ozdemir, M. Emin
    Sarikaya, Mehmet Zeki
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2012, 27 (01): : 67 - 82
  • [36] Inequalities for convex and s-convex functions on Δ = [a, b] x [c, d]
    Ozdemir, Muhamet Emin
    Kavurmaci, Havva
    Akdemir, Ahmet Ocak
    Avci, Merve
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [37] ON SOME NEW HADAMARD-LIKE INEQUALITIES FOR COORDINATED s-CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Tunc, Mevlut
    Akdemir, Ahmet Ocak
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2013, 28 (03): : 297 - 321
  • [38] Operator inequalities associated with the Kantorovich type inequalities for s-convex functions
    Ismail Nikoufar
    Davuod Saeedi
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 1268 - 1277
  • [39] On Inequalities for S-Convex Function Based on Katugampola Fractional Integral
    Wu, Ying
    5TH ANNUAL INTERNATIONAL CONFERENCE ON INFORMATION SYSTEM AND ARTIFICIAL INTELLIGENCE (ISAI2020), 2020, 1575
  • [40] On New Inequalities of Hermite-Hadamard type for generalized s-convex functions
    Set, Erhan
    Mumcu, Ilker
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
12345