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

页码：67 / 82

页数：16

共 50 条

[1] Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense
Alomari, M.
Darus, M.
Dragomir, S. S.
Cerone, P.
APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1071 - 1076
[2] MORE ON OSTROWSKI TYPE INEQUALITIES FOR SOME S-CONVEX FUNCTIONS IN THE SECOND SENSE
Liu, Zheng
DEMONSTRATIO MATHEMATICA, 2016, 49 (04) : 398 - 412
[3] NEW OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED S-CONVEX FUNCTIONS IN THE SECOND SENSE
Latif, Muhammad Amer
Dragomir, Sever S.
MATEMATICHE, 2012, 67 (01): : 57 - 72
[4] SOME OSTROWSKI ' S TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE s-CONVEX IN THE SECOND SENSE
Set, Erhan
Sarikaya, Mehmet Zeki
Ozdemir, M. Emin
DEMONSTRATIO MATHEMATICA, 2014, 47 (01) : 37 - 47
[5] A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE
Liu, Zheng
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (04) : 775 - 785
[6] Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for s-convex functions in the second sense with applications
Asawasamrit, Suphawat
Ali, Muhammad Aamir
Budak, Huseyin
Ntouyas, Sotiris K.
Tariboon, Jessada
AIMS MATHEMATICS, 2021, 6 (12): : 13327 - 13346
[7] Ostrowski type inequalities for s-logarithmically convex functions in the second sense with applications
Akdemir, Ahmet Ocak
Tunc, Mevlut
GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 1 - 7
[8] New inequalities of Hermite-Hadamard type via s-convex functions in the second sense with applications
Avci, Merve
Kavurmaci, Havva
Ozdemir, M. Emin
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5171 - 5176
[9] GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES ARE GENERALIZED s-CONVEX IN THE SECOND SENSE
Budak, Huseyin
Sarikaya, Mehmet Zeki
Set, Erhan
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2016, 15 (04) : 11 - 21
[10] New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Set, Erhan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (07) : 1147 - 1154

← 1 2 3 4 5 →