Work

New Developments of Hermite–Hadamard Type Inequalities via s-Convexity and Fractional Integrals

Year: 2024

Type: article

Abstract: In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s -convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are s -convex are also established with the help of an existing identity in literature. Many limiting results are deduced from the main results which are stated in remarks. Some applications of proved results are also discussed in the present study.

Source: Journal of Mathematics

DOI: 10.1155/2024/1997549

Authors: Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela

Institutions: University of Sargodha, University of Kinshasa

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,060

OpenAlex ID: W4390929124