FRACTIONAL VERSIONS OF HADAMARD INEQUALITIES FOR STRONGLY (s, m)-CONVEX FUNCTIONS VIA CAPUTO FRACTIONAL DERIVATIVES

被引：0

作者：

Farid, Ghulam ^{[1
]}

Bibi, Sidra ^{[2
]}

Rathour, Laxmi ^{[3
]}

Mishra, Lakshmi Narayan ^{[4
]}

Mishra, Vishnu Narayan ^{[5
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan

[2] Govt Girls Primary Sch, Kamra Khurd 43570, Attock, Pakistan

[3] Ward 16, Anuppur 484224, Madhya Pradesh, India

[4] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[5] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India

来源：

KOREAN JOURNAL OF MATHEMATICS | 2023年 / 31卷 / 01期

关键词：

Convex function; Strongly convex function; Hadamard inequality; Caputo fractional derivatives;

D O I：

10.11568/kjm.2023.31.1.75

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. We aim in this article to establish variants of the Hadamard inequality for Caputo fractional derivatives. We present the Hadamard inequality for strongly (s, m)-convex functions which will provide refinements as well as generalizations of several such inequalities already exist in the literature. The error bounds of these inequalities are also given by applying some known identities. Moreover, various associated results are deduced.

引用

页码：75 / 94

页数：20

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