Fractional Ostrowski type inequalities for bounded functions

Fractional Ostrowski type inequalities for bounded functions

We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions L p , L ∞ and L 1 , respectively. We also give some midpoint type inequalities as sp...

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Veröffentlicht in:Journal of inequalities and applications 2020-05, Vol.2020 (1), p.1-11, Article 123
Hauptverfasser: Erden, Samet, Budak, Hüseyin, Zeki Sarikaya, Mehmet, Iftikhar, Sabah, Kumam, Poom
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Bounded functions
Fractional integrals
Functions (mathematics)
Inequalities
Mathematics
Mathematics and Statistics
Midpoint type inequalities
Ostrowski type inequalities
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Zusammenfassung:We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions L p , L ∞ and L 1 , respectively. We also give some midpoint type inequalities as special cases of our main results.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02381-1