Further Fractional Hadamard Integral Inequalities Utilizing Extended Convex Functions

被引：1
|
作者：
Almoneef, Areej A. [1 ]
Hyder, Abd-Allah [3 ]
Barakat, Mohamed A. [2 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Univ Tabuk, Coll Al Wajh, Dept Comp Sci, POB 741, Tabuk 71491, Saudi Arabia
[3] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 04期
关键词：
Hadamard inequalities; fractional integral operators; convex functions; error bounds;
D O I：
10.3390/fractalfract8040230
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work investigates novel fractional Hadamard integral inequalities by utilizing extended convex functions and generalized Riemann-Liouville operators. By carefully using extended integral formulations, we not only find novel inequalities but also improve the accuracy of error bounds related to fractional Hadamard integrals. Our study broadens the applicability of these inequalities and shows that they are useful for a variety of convexity cases. Our results contribute to the advancement of mathematical analysis and provide useful information for theoretical comprehension as well as practical applications across several scientific directions.
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页数：15
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