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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Vydáno v:	Chaos, solitons and fractals Ročník 162; s. 112504
Hlavní autoři:	Meftah, B., Souahi, A., Merad, M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.09.2022
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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