Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals

被引：10

作者：

Budak, Huseyin ^{[1
]}

Pehlivan, Ebru ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 03期

关键词：

trapezoid inequality; Ostrowski inequality; fractional integral operators; convex function; concave function; HERMITE-HADAMARD-TYPE; FEJER TYPE INEQUALITIES; CONVEX-FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; S-CONVEX;

D O I：

10.3934/math.2020131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our first aim is to establish two new identities for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain some new weighted versions of fractional trapezoid and Ostrowski type inequalities. Moreover, we give some weighted fractional midpoint type inequalities as special cases.

引用

页码：1960 / 1984

页数：25

共 50 条

[1] Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation
Dragomir, Silvestru Sever
[J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (01) : 30 - 53
[2] New Versions of Midpoint Inequalities Based on Extended Riemann-Liouville Fractional Integrals
Hyder, Abd-Allah
Budak, Hueseyin
Barakat, Mohamed A.
[J]. FRACTAL AND FRACTIONAL, 2023, 7 (06)
[3] Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
Aljinovic, Andrea Aglic
[J]. JOURNAL OF MATHEMATICS, 2014, 2014
[4] WEIGHTED INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS OF ORDER ONE AND GREATER
MARTINREYES, FJ
SAWYER, E
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 727 - 733
[5] WEIGHT INEQUALITIES OF THE HARDY TYPE FOR FRACTIONAL RIEMANN-LIOUVILLE INTEGRALS
STEPANOV, VD
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (03) : 513 - 522
[6] SOME OSTROWSKI TYPE INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS FOR h-CONVEX FUNCTIONS
Liu, Wenjun
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 998 - 1004
[7] Generalized Riemann-Liouville k-Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities
Kwun, Young Chel
Farid, Ghulum
Nazeer, Waqas
Ullah, Sami
Kang, Shin Min
[J]. IEEE ACCESS, 2018, 6 : 64946 - 64953
[8] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS
Sarikaya, Mehmet Zeki
Yildirim, Huseyin
[J]. MISKOLC MATHEMATICAL NOTES, 2017, 17 (02) : 1049 - 1059
[9] Ostrowski type inequalities for k-β-convex functions via Riemann-Liouville k-fractional integrals
Lakhal, Fahim
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1561 - 1578
[10] SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS
Hezenci, Fatih
Budak, Huseyin
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (04) : 1117 - 1127

← 1 2 3 4 5 →