Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals

Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals

In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and tr...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2022-04, Vol.2022 (1), p.1-23, Article 40
Hauptverfasser: Budak, Hüseyin, Kılınç Yıldırım, Seda, Sarıkaya, Mehmet Zeki, Yıldırım, Hüseyin
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Applied mathematics
Convex analysis
Convex functions
Fractional calculus
Inequalities
Integral inequalities
Integrals
Mathematics
Mathematics and Statistics
Simpson’s 1 3 $\frac{1}{3}$ formula
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02773-5