On some Grüss-type inequalities via k-weighted fractional operators

被引：0

作者：

Benaissa, Bouharket ^{[1
]}

Azzouz, Noureddine ^{[2
]}

Sarikaya, Mehmet Zeki ^{[3
]}

机构：

[1] Univ Tiaret, Lab Informat & Math, Fac Mat Sci, Tiaret, Algeria

[2] Univ Ctr Nour Bachir El Bayadh, Fac Sci, El Bayadh, Algeria

[3] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye

来源：

FILOMAT | 2024年 / 38卷 / 12期

关键词：

Gr & uuml; ss inequality; k-weighted fractional Operator; H & uuml; lder inequality; GRUSS-TYPE; INTEGRAL-INEQUALITIES;

D O I：

10.2298/FIL2412009B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we employ the concept of k-weighted fractional integration of one function with respect to another function to extend the scope of Gr & uuml;ss-type fractional integral inequalities. Furthermore, we establish and provide proofs for a set of inequalities that incorporate k-weighted fractional integrals.

引用

页码：4009 / 4019

页数：11

共 50 条

[1] Grüss-type integrals inequalities via generalized proportional fractional operators
Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[2] Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
Samaira Naz
Muhammad Nawaz Naeem
Yu-Ming Chu
Advances in Difference Equations, 2021
[3] Some new fractional q-integral Grüss-type inequalities and other inequalities
Chaowu Zhu
Wengui Yang
Qingbo Zhao
Journal of Inequalities and Applications, 2012
[4] Grüss-Type Inequalities by Means of Generalized Fractional Integrals
J. Vanterler da C. Sousa
D. S. Oliveira
E. Capelas de Oliveira
Bulletin of the Brazilian Mathematical Society, New Series, 2019, 50 : 1029 - 1047
[5] Certain Grüss-type inequalities via tempered fractional integrals concerning another function
Gauhar Rahman
Kottakkaran Sooppy Nisar
Saima Rashid
Thabet Abdeljawad
Journal of Inequalities and Applications, 2020
[6] Generalized Ostrowski–Grüss-type Inequalities
Heiner Gonska
Ioan Raşa
Maria-Daniela Rusu
Results in Mathematics, 2012, 62 : 311 - 318
[7] Reverse Inequalities through k-weighted Fractional Operators with Two Parameters
Benaissa, Bouharket
Azzouz, Noureddine
KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (01): : 31 - 46
[8] Berezin Number, Grüss-Type Inequalities and Their Applications
Ulaş Yamancı
Remziye Tunç
Mehmet Gürdal
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2287 - 2296
[9] Grüss-type and Ostrowski-type inequalities in approximation theory
A. M. Acu
H. Gonska
I. Raşa
Ukrainian Mathematical Journal, 2011, 63 : 843 - 864
[10] Generalized fractional Gru<spacing diaeresis>ss-type inequalities
Guzman, Paulo M.
Valdes, Juan E. Napoles
CONTRIBUTIONS TO MATHEMATICS, 2020, 2 : 16 - 21

← 1 2 3 4 5 →