Inequalities for Riemann-Liouville Fractional Integrals of Strongly (s, m)-Convex Functions

被引：2

作者：

Zhang, Fuzhen ^{[1
]}

Farid, Ghulam ^{[2
]}

Akbar, Saira Bano ^{[3
]}

机构：

[1] Jiangsu Coll Safety Technol, Fdn Dept, Xuzhou 221000, Jiangsu, Peoples R China

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan

[3] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

CONVEX-FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1155/2021/5577203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The results of this paper provide two Hadamard-type inequalities for strongly (s, m)-convex functions via Riemann-Liouville fractional integrals and error estimations of well-known fractional Hadamard inequalities. Their special cases are given and connected with the results of some published papers.

引用

页数：14

共 50 条

[31] Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals
Kermausuor, Seth
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2019, 64 (01): : 25 - 34
[32] Ostrowski type inequalities for k-β-convex functions via Riemann-Liouville k-fractional integrals
Lakhal, Fahim
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1561 - 1578
[33] Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of h-convex functions
Dragomir, Silvestru Sever
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) : 2364 - 2380
[34] Fractional Milne-type inequalities for twice differentiable functions for Riemann-Liouville fractional integrals
Haider, Wali
Budak, Huseyin
Shehzadi, Asia
ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (06)
[35] Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals
Ali, Muhammad Aamir
Korus, Peter
Valdes, Juan E. Napoles
MATHEMATICA SLOVACA, 2024, 74 (05) : 1173 - 1180
[36] WEIGHT INEQUALITIES OF THE HARDY TYPE FOR FRACTIONAL RIEMANN-LIOUVILLE INTEGRALS
STEPANOV, VD
SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (03) : 513 - 522
[37] On Some Generalized Integral Inequalities for Riemann-Liouville Fractional Integrals
Sarikaya, Mehmet Zeki
Filiz, Hatice
Kiris, Mehmet Eyup
FILOMAT, 2015, 29 (06) : 1307 - 1314
[38] Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications
Rashid, Saima
Abdeljawad, Thabet
Jarad, Fahd
Noor, Muhammad Aslam
MATHEMATICS, 2019, 7 (09)
[39] On Riemann-Liouville Integral via Strongly Modified (h,m)-Convex Functions
Koam, Ali N. A.
Nosheen, Ammara
Khan, Khuram Ali
Bukhari, Mudassir Hussain
Ahmad, Ali
Alatawi, Maryam Salem
FRACTAL AND FRACTIONAL, 2024, 8 (12)
[40] Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation
Dragomir, Silvestru Sever
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (01) : 30 - 53

← 1 2 3 4 5 →