NEW INEQUALITIES OF OSTROWSKI'S TYPE FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE WITH APPLICATIONS

被引：0
|
作者：
Set, Erhan [1 ]
Ozdemir, M. Emin [2 ]
Sarikaya, Mehmet Zeki [1 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
[2] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2012年 / 27卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error estimates for the midpoint formula are obtained.
引用
收藏
页码：67 / 82
页数：16
相关论文
共 50 条
  • [31] On the new Hermite–Hadamard type inequalities for s-convex functions
    Hasan Barsam
    Sayyed Mehrab Ramezani
    Yamin Sayyari
    Afrika Matematika, 2021, 32 : 1355 - 1367
  • [32] On Some New Inequalities of Hermite–Hadamard Type for Functions Whose Derivatives are s-Convex in the Second Sense in the Absolute Value
    M. A. Latif
    Ukrainian Mathematical Journal, 2016, 67 : 1552 - 1571
  • [33] Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense Ostrowski and Jensen-type inequalities and generalized convexity
    Jose Vivas-Cortez, Miguel
    Hernandez Hernandez, Jorge Eliecer
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 287 - 302
  • [34] Some new Hermite-Hadamard type inequalities for s-convex functions and their applications
    Ozcan, Serap
    Iscan, Imdat
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [35] Some new inequalities of Hermite-Hadamard type for s-convex functions with applications
    Khan, Muhammad Adil
    Chu, Yuming
    Khan, Tahir Ullah
    Khan, Jamroz
    OPEN MATHEMATICS, 2017, 15 : 1414 - 1430
  • [36] New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
    Wang, Xiaoming
    Khan, Khuram Ali
    Ditta, Allah
    Nosheen, Ammara
    Awan, Khalid Mahmood
    Mabela, Rostin Matendo
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [37] Remarks on some inequalities for s-convex functions and applications
    Liu, Zheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [38] Some new inequalities of Jensen's type for operator s-convex functions
    Shafiei, Marziyeh
    Ghazanfari, Amir Ghasem
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2018, 45 (01): : 50 - 65
  • [39] On Fejer type inequalities for products convex and s-convex functions
    Budak, Huseyin
    Bakis, Yonca
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (02): : 165 - 182
  • [40] Fractional integral inequalities for s-convex functions in the first sense
    Tinaztepe, Gultekin
    Isik, Ilknur Yesilce
    QUAESTIONES MATHEMATICAE, 2025,
12345