Modification of certain fractional integral inequalities for convex functions

Modification of certain fractional integral inequalities for convex functions

We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numb...

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Veröffentlicht in:Advances in difference equations 2020-02, Vol.2020 (1), p.1-22, Article 69
Hauptverfasser: Mohammed, Pshtiwan Othman, Abdeljawad, Thabet
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Convex function
Difference and Functional Equations
Fractional calculus
Functional Analysis
Hermite–Hadamard inequality
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Midpoint formula
Ordinary Differential Equations
Partial Differential Equations
Real numbers
Riemann–Liouville fractional integral
Special means
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Beschreibung
Zusammenfassung:We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-2541-2