Some local fractional Maclaurin type inequalities for generalized convex functions and their applications

B. Meftah, A. Souahi and M. Merad

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: In this paper, we establish a new local fractional integral identity involving three point by the use of Peano kernel approach. Using this identity we derive some new local fractional integrals inequalities of Maclaurin-type for functions whose local fractional derivatives are generalized convex functions. In order to show the effectiveness of the obtained results, we apply them in numerical integration and to special means.

Keywords: Maclaurin’s inequality; Generalized convex functions; Generalized Hölder inequality; Local fractional integral; Local fractional integration by parts; Fractal set (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007093

DOI: 10.1016/j.chaos.2022.112504

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