Some new integral inequalities via general forms of proportional fractional integral operators

被引：3

作者：

Butt, Saad Ihsan ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Aslan, Sinan ^{[3
]}

Iscan, Imdat ^{[4
]}

Agarwal, Praveen ^{[5
,6
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Islamabad, Pakistan

[2] Ibrahim Cecen Univ Agri, Fac Arts & Sci, Dept Math, Agri, Turkey

[3] Ibrahim Cecen Univ Agri, Inst Grad Studies, Agri, Turkey

[4] Giresun Univ, Fac Sci & Arts, Dept Math, Giresun, Turkey

[5] Int Ctr Basic & Appl Sci, Jaipur, Rajasthan, India

[6] Anand Int Coll Engn, Dept Math, Jaipur, Rajasthan, India

来源：

CONTRIBUTIONS TO MATHEMATICS | 2021年 / 4卷

关键词：

AG-convexity; generalized proportional fractional operators; Holder inequality; general Cauchy inequality; CONVEX-FUNCTIONS; DERIVATIVES; MODEL;

D O I：

10.47443/cm.2021.0027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some new integral inequalities for integrable geometrically convex mappings via the general forms of proportional fractional integral operators are proved. Basic definitions, various classical inequalities and generalized proportional fractional integral operators are used to prove the main findings.

引用

页码：6 / 11

页数：6

共 36 条

[1] New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators [J].

Akdemir, Ahmet Ocak ;

Butt, Saad Ihsan ;

Nadeem, Muhammad ;

Ragusa, Maria Alessandra .

MATHEMATICS, 2021, 9 (02) :1-11

[2]

Akdemir AO, 2017, J NONLINEAR CONVEX A, V18, P661

[3] SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS [J].

Butt, Saad Ihsan ;

Akdemir, Ahmet Ocak ;

Nasir, Jamshed ;

Jarad, Fahd .

MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) :689-715

[4] New Hermite-Jensen-Mercer-type inequalities via k-fractional integrals [J].

Butt, Saad Ihsan ;

Umar, Muhammad ;

Rashid, Saima ;

Akdemir, Ahmet Ocak ;

Chu, Yu-Ming .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[5] Hermite-Jensen-Mercer type inequalities for conformable integrals and related results [J].

Butt, Saad Ihsan ;

Nadeem, Mehroz ;

Qaisar, Shahid ;

Akdemir, Ahmet Ocak ;

Abdeljawad, Thabet .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[6]

Dahmani Z., 2009, J INEQUAL PURE APPL, V10, P86

[7]

Dahmani Z, 2011, BULL MATH ANAL APPL, V3, P38

[8] A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel [J].

Dokuyucu, Mustafa Ali ;

Dutta, Hemen .

CHAOS SOLITONS & FRACTALS, 2020, 134

[9] A fractional order alcoholism model via Caputo-Fabrizio derivative [J].

Dokuyucu, Mustafa Ali .

AIMS MATHEMATICS, 2020, 5 (02) :781-797

[10] Analysis of Keller-Segel Model with Atangana-Baleanu Fractional Derivative [J].

Dokuyucu, Mustafa Ali ;

Baleanu, Dumitru ;

Celik, Ercan .

FILOMAT, 2018, 32 (16) :5633-5643

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