INTEGRAL INEQUALITIES OF SIMPSON TYPE VIA WEIGHTED INTEGRALS

被引：2

作者：

Napoles, J. E. ^{[1
,2
]}

Cubillos, M. N. Quevedo

Bayraktar, B. ^{[3
]}

机构：

[1] UNNE, FaCENA, Ave Libertad 5450, RA-3400 Corrientes, Argentina

[2] UTN FRRE, French 414, RA-3500 Resistencia, Chaco, Argentina

[3] Bursa Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkiye

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2023年 / 12卷 / 02期

关键词：

convex fuction; inequality of Simpson; weighted inte-gral operator; (h; m; s)-convex function; Hadamard-type inequality; Holder inequality; power mean inequality; FRACTIONAL INTEGRALS; PARAMETERIZED INEQUALITIES; HERMITE;

D O I：

10.15393/j3.art.2023.13310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of (h, m, s)-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.

引用

页码：68 / 86

页数：19

共 23 条

[1] Alomari M, 2011, APPL MATH E-NOTES, V11, P110
[2] ON GENERALIZATIONS OF INTEGRAL INEQUALITIES
Bayraktar, B.
Napoles, J.
Rabossi, F.
[J]. PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2022, 11 (02): : 3 - 23
[3] Bayraktar B, 2020, Turkish Journal of Inequalities, P59
[4] Integral inequalities for mappings whose derivatives are (h, m, s)-convex modified of second type via Katugampola integrals
Bayraktar, Bahtiyar
Valdas, June E. Naepoles
[J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2022, 49 (02): : 371 - 383
[5] New Variants of Quantum Midpoint-Type Inequalities
Butt, Saad Ihsan
Budak, Hueseyin
Nonlaopon, Kamsing
[J]. SYMMETRY-BASEL, 2022, 14 (12):
[6] SOME PARAMETERIZED INEQUALITIES ARISING FROM THE TEMPERED FRACTIONAL INTEGRALS INVOLVING THE (μ,n)-INCOMPLETE GAMMA FUNCTIONS
Cao, Yu
Cao, Jifeng
Tan, Pinzheng
Du, Tingsong
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (03): : 1091 - 1121
[7] On Simpson's inequality and applications
Dragomir, SS
Agarwal, RP
Cerone, P
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) : 533 - 579
[8] Properties and integral inequalities of Hadamard-Simpson type for the generalized (s,m)-preinvex functions
Du, Ting-Song
Liao, Jia-Gen
Li, Yu-Jiao
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3112 - 3126
[9] Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
Du, Tingsong
Awan, Muhammad Uzair
Kashuri, Artion
Zhao, Shasha
[J]. APPLICABLE ANALYSIS, 2021, 100 (03) : 642 - 662
[10] Estimation type results associated to k-fractional integral inequalities with applications
Du, Tingsong
Wang, Hao
Latif, Muhammad Amer
Zhang, Yao
[J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 1083 - 1088

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