Generalized Ostrowski type inequalities for local fractional integrals

Generalized Ostrowski type inequalities for local fractional integrals

First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal sets RαR^{\alpha } (0>α≤1)\left ( 0>\alpha \leq 1\right ) of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal sets RαR^{\alpha }.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2017-04, Vol.145 (4), p.1527-1538
Hauptverfasser: Sarikaya, Mehmet Zeki, Budak, Hüseyin
Format: Artikel
Sprache:eng
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Zusammenfassung:First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal sets RαR^{\alpha } (0>α≤1)\left ( 0>\alpha \leq 1\right ) of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal sets RαR^{\alpha }.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13488