Novel Ostrowski-Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

被引：0

作者：

Almoneef, Areej A. ^{[1
]}

Hyder, Abd-Allah ^{[2
]}

Barakat, Mohamed A. ^{[3
,4
]}

Budak, Huseyin ^{[5
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[3] Univ Tabuk, Coll Al Wajh, Dept Comp Sci, Tabuk 71491, Saudi Arabia

[4] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

[5] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 09期

关键词：

Ostrowski-type inequalities; fractional integrals; function classes; HADAMARD-TYPE INEQUALITIES; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.3390/fractalfract8090534

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for functions whose derivatives have convex absolute values. A new condition for bounded variation functions is examined, as well as expansions to bounded and Lipschitzian derivatives. Our comprehension is improved by comparison with current findings, and recommendations for future study areas are given.

引用

页数：22

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