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Caputo fractional derivative inequalities for refined modified (h,m)-convex functions

Year: 2025

Type: article

Abstract: In this paper, we introduce a new convex function called refined modified (h,m)−convex function and establish Hadamard-type inequalities for this new definition via Caputo k−fractional derivatives. Then by applying two integral identities including the nth order derivatives of given functions we prove estimation of Hadamard type inequalities for the Caputo k−fractional derivatives.

Source: Advances in Inequalities and Applications

DOI: 10.28919/aia/9252

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413065866

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