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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Veröffentlicht in:Chaos, solitons and fractals Jg. 162; S. 112504
Hauptverfasser: Meftah, B., Souahi, A., Merad, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.09.2022
Schlagworte:
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
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Zusammenfassung: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