k-Fractional Integral Inequalities Of Hadamard Type For Strongly Exponentially (α, h - m)-Convex Functions

被引：0

作者：

Rathour, Laxmi ^{[1
]}

Rehman, Atiq Ur ^{[2
]}

Bibi, Sidra ^{[3
]}

Farid, Ghulam ^{[2
]}

Mishra, Lakshmi Narayan ^{[4
]}

Mishra, Vishnu Narayan ^{[5
]}

机构：

[1] Ward 16, Anuppur 484224, Madhya Pradesh, India

[2] COMSATS Univ Islamabad, Attock Camopus,Kamra Rd, Attock 43600, Pakistan

[3] Govt Girls Primary Sch, Attock 43570, Pakistan

[4] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[5] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India

来源：

APPLIED MATHEMATICS E-NOTES | 2023年 / 23卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present Hadamard type fractional integral inequalities by using k-analogue of Riemann Liouville (RL) fractional integrals. These inequalities are obtained by using a general class of functions called strongly exponentially (alpha, h - m)-convex functions. Error estimates are also established for differentiable functions applying some well known identities.

引用

页码：393 / 411

页数：19

共 50 条

[1] Hadamard-Type k-Fractional Integral Inequalities for Exponentially (α, h - m)-Convex Functions
Jung, Chahn Yong
Farid, Ghulam
Bibi, Sidra
Nisar, Kottakkaran Sooppy
Kang, Shin Min
JOURNAL OF MATHEMATICS, 2020, 2020
[2] k-fractional integral inequalities of Hadamard type for exponentially (s, m)-convex functions
Rehman, Atiq Ur
Farid, Ghulam
Bibi, Sidra
Jung, Chahn Yong
Kang, Shin Min
AIMS MATHEMATICS, 2021, 6 (01): : 882 - 892
[3] k-fractional integral inequalities of Hadamard type for (h-m)-convex functions
Farid, Ghulam
Rehman, Atiq Ur
Ul Ain, Qurat
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (01): : 119 - 140
[4] k-FRACTIONAL INTEGRAL INEQUALITIES OF HADAMARD TYPE FOR DIFFERENTIABLE HARMONICALLY CONVEX FUNCTIONS
Hussain, Rashida
Ali, Asghar
Bashir, Yasmin
Latif, Asia
JOURNAL OF SCIENCE AND ARTS, 2020, (02): : 261 - 276
[5] Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially (α, h - m)-Convex Functions
Li, Shasha
Farid, Ghulam
Rehman, Atiq Ur
Yasmeen, Hafsa
JOURNAL OF MATHEMATICS, 2021, 2021
[6] Ostrowski type inequalities in the sense of generalized K-fractional integral operator for exponentially convex functions
Rashid, Saima
Noor, Muhammad Aslam
Noor, Khalida Inayat
Chu, Yu-Ming
AIMS MATHEMATICS, 2020, 5 (03): : 2629 - 2645
[7] Generalized k-fractional integral inequalities associated with (α,m)-convex functions
Kang, S. M.
Farid, G.
Waseem, M.
Ullah, S.
Nazeer, W.
Mehmood, S.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01):
[8] (p,h)-Convex Functions Associated with Hadamard and Fejer-Hadamard Inequalities via k-Fractional Integral Operators
Zhang, Xiujun
Farid, Ghulam
Demirel, Ayse Kuebra
Jung, Chahn Yong
JOURNAL OF FUNCTION SPACES, 2022, 2022
[9] Generalized Hadamard Fractional Integral Inequalities for Strongly (s, m)-Convex Functions
Miao, Chao
Farid, Ghulam
Yasmeen, Hafsa
Bian, Yanhua
JOURNAL OF MATHEMATICS, 2021, 2021
[10] Further on Inequalities for (α,h-m)-Convex Functions via k-Fractional Integral Operators
Yan, Tao
Farid, Ghulam
Demirel, Ayse Kuebra
Nonlaopon, Kamsing
JOURNAL OF MATHEMATICS, 2022, 2022

← 1 2 3 4 5 →