Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions

被引：3

作者：

Sahoo, Soubhagya Kumar ^{[1
]}

Kodamasingh, Bibhakar ^{[1
]}

Kashuri, Artion ^{[2
]}

Aydi, Hassen ^{[3
,4
,5
]}

Ameer, Eskandar ^{[6
]}

机构：

[1] Siksha O Anusandhan Univ, Inst Tech Educ & Res, Dept Math, Bhubaneswar 751030, Odisha, India

[2] Univ Ismail Qemali, Fac Tech & Nat Sci, Dept Math, Vlora 9400, Albania

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

[6] Taiz Univ, Dept Math, Taizi, Yemen

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Ostrowski inequality; Convex functions; Atangana-Baleanu fractional operator; q-digamma functions; Modified Bessel functions; INTEGRAL-INEQUALITIES; DERIVATIVES; CONVEX;

D O I：

10.1186/s13660-022-02899-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana-Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of several basic definitions and existing ideas related to inequalities and fractional calculus. Following that, numerous Ostrowski-type inequalities are provided based on this identity, which uses Mittag-Leffler as its kernel structure. Some specific applications, such as q-digamma functions and modified Bessel functions, are also investigated. Choosing s=1, we also analyze new results for convex functions as special cases. Our findings corroborate some well-documented inequalities.

引用

页数：27

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