Some generalized Riemann-Liouville k-fractional integral inequalities

被引：33

作者：

Agarwal, Praveen ^{[1
]}

Tariboon, Jessada ^{[2
]}

Ntouyas, Sotiris K. ^{[3
,4
]}

机构：

[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[2] King Mongkuts Univ Technol North Bangkok, Nonlinear Dynam Anal Res Ctr, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand

[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

integral inequalities; Chebyshev functional; Riemann-Liouville k-fractional integral operator; Polya and Szego type inequalities; GRUSS TYPE INEQUALITIES;

D O I：

10.1186/s13660-016-1067-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The focus of the present study is to prove some new Polya-Szego type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

引用

页数：13

共 50 条

[21] The Solutions of Some Riemann-Liouville Fractional Integral Equations
Kaewnimit, Karuna
Wannalookkhee, Fongchan
Nonlaopon, Kamsing
Orankitjaroen, Somsak
[J]. FRACTAL AND FRACTIONAL, 2021, 5 (04)
[22] Generalized inequalities involving fractional operators of the Riemann-Liouville type
Bosch, Paul
Carmenate, Hector J.
Rodriguez, Jose M.
Sigarreta, Jose M.
[J]. AIMS MATHEMATICS, 2022, 7 (01): : 1470 - 1485
[23] Some Simpson's Riemann-Liouville Fractional Integral Inequalities with Applications to Special Functions
Nasir, Jamshed
Qaisar, Shahid
Butt, Saad Ihsan
Khan, Khuram Ali
Mabela, Rostin Matendo
[J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
[24] Some Riemann-Liouville fractional integral inequalities of corrected Euler-Maclaurin-type
Hezenci, Fatih
Budak, Hueseyin
[J]. JOURNAL OF ANALYSIS, 2024, 32 (03): : 1309 - 1330
[25] Some new Riemann-Liouville fractional integral inequalities for interval-valued mappings
Khan, Muhammad Bilal
Treanta, Savin
Alrweili, Hleil
Saeed, Tareq
Soliman, Mohamed S.
[J]. AIMS MATHEMATICS, 2022, 7 (08): : 15659 - 15679
[26] SOME NEW INTEGRAL INEQUALITIES VIA RIEMANN-LIOUVILLE INTEGRAL OPERATORS
Ekinci, Alper
Ozdemir, M. Emin
[J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2019, 18 (03) : 288 - 295
[27] New Generalized Riemann-Liouville Fractional Integral Versions of Hadamard and Fejer-Hadamard Inequalities
Nonlaopon, Kamsing
Farid, Ghulam
Nosheen, Ammara
Yussouf, Muhammad
Bonyah, Ebenezer
[J]. JOURNAL OF MATHEMATICS, 2022, 2022
[28] GENERALIZATION OF SOME INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS
Mihai, Marcela V.
Ion, Daniel Alexandru
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (02): : 207 - 215
[29] Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
Aljinovic, Andrea Aglic
[J]. JOURNAL OF MATHEMATICS, 2014, 2014
[30] The Minkowski's inequalities via Ω-Riemann-Liouville fractional integral operators
Aljaaidi, Tariq A.
Pachpatte, Deepak B.
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (02) : 893 - 906

← 1 2 3 4 5 →