WEIGHTED SIMPSON'S TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY-PREINVEX FUNCTIONS

被引：6

作者：

LATIF, M. A. ^{[1
]}

HUSSAIN, S. ^{[2
]}

MADEEHA ^{[3
]}

机构：

[1] Univ Hail, Dept Basic Sci, Deanship Preparatory Year, Hail 2440, Saudi Arabia

[2] Univ Engn & Technol Lahore, Dept Math, Lahore, Pakistan

[3] Univ Sialkot, Dept Math, Sialkot, Pakistan

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 01期

关键词：

Simpson?s inequality; Convex functions; harmonically-preinvex function; Power-mean inequality; Holder’ s inequality; S-CONVEX FUNCTIONS; EXTENDED (S; DIFFERENTIABLE FUNCTIONS; H-CONVEX; HADAMARD; (ALPHA;

D O I：

10.18514/MMN.2022.3108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some new weighted Simpson's type integral inequalities are presented for the class of harmonically-preinvex functions by using power-mean integral inequality and Ho spacing diaeresis lder's integral inequality. 2010 Mathematics Subject Classification: 26A33; 41A55; 26D15; 26E60

引用

页码：311 / 326

页数：16

共 31 条

[1] Some New Inequalities of Simpson's Type for s-convex Functions via Fractional Integrals [J].

Chen, Jianhua ;

Huang, Xianjiu .

FILOMAT, 2017, 31 (15) :4989-4997

[2]

Chun L, 2015, J COMPUT ANAL APPL, V19, P555

[3] On Simpson's inequality and applications [J].

Dragomir, SS ;

Agarwal, RP ;

Cerone, P .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) :533-579

[4] Properties and integral inequalities of Hadamard-Simpson type for the generalized (s,m)-preinvex functions [J].

Du, Ting-Song ;

Liao, Jia-Gen ;

Li, Yu-Jiao .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :3112-3126

[5] A generalization of Simpson's inequality via differentiable mapping using extended (s, m)-convex functions [J].

Du, Tingsong ;

Li, Yujiao ;

Yang, Zhiqiao .

APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 :358-369

[6]

Hsu KC, 2017, B IRAN MATH SOC, V43, P409

[7]

Hussain S, 2014, PUNJAB UNIV J MATH, V46, P1

[8] More results on Simpson's type inequality through convexity for twice differentiable continuous mappings [J].

Hussain, Sabir ;

Qaisar, Shahid .

SPRINGERPLUS, 2016, 5 :1-9

[9] Hermite-Hadamard and Simpson-like Type Inequalities for Differentiable p-quasi-convex Functions [J].

Iscan, Imdat ;

Turhan, Sercan ;

Maden, Selahattin .

FILOMAT, 2017, 31 (19) :5945-5953

[10] Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions [J].

Iscan, Imdat .

JOURNAL OF MATHEMATICS, 2014, 2014

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