On generalized fractional inequalities for functions of bounded variation with two variables

被引：0

作者：

Budak, Huseyin ^{[1
]}

Ozcelik, Kubilay ^{[1
]}

Kashuri, Artion ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

Zhang, Zhiyue ^{[3
]}

机构：

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

[2] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania

[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期

关键词：

Function of bounded variation; Ostrowski inequalities; generalized fractional integral; OSTROWSKI TYPE INEQUALITIES; HADAMARD-TYPE INEQUALITIES; MAPPINGS; HERMITE; COMPANION; INTEGRALS;

D O I：

10.22075/ijnaa.2022.25891.3152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.

引用

页码：1165 / 1182

页数：18

共 50 条

[21] Extremal functions in Poincare-Sobolev inequalities for functions of bounded variation
Bouchez, Vincent
Van Schaftingen, Jean
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, 2011, 540 : 47 - 58
[22] Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications
Kashuri, A.
Ali, M. A.
Abbas, M.
Toseef, M.
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2021, 17 (01) : 37 - 64
[23] Inequalities for α-fractional differentiable functions
Chu, Yu-Ming
Khan, Muhammad Adil
Ali, Tahir
Dragomir, Sever Silvestru
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[24] Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions
Xiao, Yeliang
Saleem, Muhammad Shoaib
Batool, Faiza
JOURNAL OF MATHEMATICS, 2022, 2022
[25] On some new generalized fractional inequalities for twice differentiable functions
Budak, Huseyin
Yavuz, Melike
Kara, Hasan
ARABIAN JOURNAL OF MATHEMATICS, 2022, 11 (03) : 507 - 519
[26] Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions
Yan, Tao
Farid, Ghulam
Yasmeen, Hafsa
Shim, Soo Hak
Jung, Chahn Yong
FRACTAL AND FRACTIONAL, 2022, 6 (03)
[27] On generalized fractional integral inequalities for twice differentiable convex functions
Mohammed, Pshtiwan Othman
Sarikaya, Mehmet Zeki
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 372 (372)
[28] Inequalities for B-convex functions via generalized fractional integral
Yesilce, Ilknur
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019,
[29] Integral inequalities for some convex functions via generalized fractional integrals
Mehreen, Naila
Anwar, Matloob
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[30] Generalized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functions
Almoneef, Areej A.
Hyder, Abd-Allah
Hezenci, Fatih
Budak, Huseyin
FRACTAL AND FRACTIONAL, 2025, 9 (02)

← 1 2 3 4 5 →