ON FRACTIONAL DIFFERENTIABLE s-CONVEX FUNCTIONS

被引：0

作者：

Alomari, M. ^{[1
]}

Darus, M. ^{[1
]}

Dragomir, S. S. ^{[2
]}

Kirmaci, U. S. ^{[3
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[2] Victoria Univ, Sch Engn & Sci, Math, Melbourne, Vic 8001, Australia

[3] Ataturk Univ, KK Educ Fac, Dept Math, TR-25240 Erzurum, Turkey

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 3卷 / 01期

关键词：

s-Convex function; fractional differentiable function; Jensen inequality;

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 some properties of s-convex functions are considered. A combination between local fractional alpha- derivative and s-convexity are introduced and investigated.

引用

页码：33 / 42

页数：10

共 50 条

[31] HERMITE-HADAMARD FEAR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE [J].

Qi, Yongfang ;

Li, Guoping ;

Wang, Shan ;

Wen, Qing Zhi .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (07)

[32] MORE ON OSTROWSKI TYPE INEQUALITIES FOR SOME S-CONVEX FUNCTIONS IN THE SECOND SENSE [J].

Liu, Zheng .

DEMONSTRATIO MATHEMATICA, 2016, 49 (04) :398-412

[33] Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions [J].

Chen, Feixiang ;

Wu, Shanhe .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02) :705-716

[34] Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are s-convex [J].

Alomari, M. W. ;

Dragomir, S. S. ;

Kirmaci, U. S. .

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2013, 17 (02) :157-169

[35] Some new Hermite-Hadamard type inequalities for s-convex functions and their applications [J].

Ozcan, Serap ;

Iscan, Imdat .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[36] Some new inequalities of Hermite-Hadamard type for s-convex functions with applications [J].

Khan, Muhammad Adil ;

Chu, Yuming ;

Khan, Tahir Ullah ;

Khan, Jamroz .

OPEN MATHEMATICS, 2017, 15 :1414-1430

[37] A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE [J].

Liu, Zheng .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (04) :775-785

[38] A Fractional Version of Corrected Dual-Simpson's Type Inequality via s-convex Function with Applications [J].

Munir, A. ;

Qayyum, A. ;

Budak, H. ;

Qaisar, S. ;

Ali, U. ;

Supadi, S. S. .

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2025, 19 (01) :17-33

[39] SOME OSTROWSKI ' S TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE s-CONVEX IN THE SECOND SENSE [J].

Set, Erhan ;

Sarikaya, Mehmet Zeki ;

Ozdemir, M. Emin .

DEMONSTRATIO MATHEMATICA, 2014, 47 (01) :37-47

[40] Some generalizations of Hadamard's-type inequalities through differentiability for s-convex functions and their applications [J].

Muddassar, Muhammad ;

Bhatti, Muhammad Iqbal .

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (02) :131-151

← 1 2 3 4 5 →