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

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 fun...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 162; p. 112504
Main Authors: Meftah, B., Souahi, A., Merad, M.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.09.2022
Subjects:
Fractal set
Generalized convex functions
Generalized Hölder inequality
Local fractional integral
Local fractional integration by parts
Maclaurin’s inequality
Local fractional integration by parts
26A51
Maclaurin’s inequality
Generalized convex functions
26D10
26A33
Generalized Hölder inequality
Fractal set
26D07
26D15
Local fractional integral
ISSN:0960-0779, 1873-2887
Online Access:Get full text
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Summary: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2022.112504