New Hadamard-type inequalities for E-convex functions involving generalized fractional integrals

New Hadamard-type inequalities for E-convex functions involving generalized fractional integrals

In this article, we establish some new Hadamard-type inequalities for E -convex functions involving generalized fractional integrals. These inequalities include a generalized Hadamard-type inequality and the corresponding right Hadamard-type inequalities for E -convex functions. The results presente...

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Veröffentlicht in:Journal of inequalities and applications 2022-03, Vol.2022 (1), p.1-18, Article 35
Hauptverfasser: Latif, Asia, Hussain, Rashida
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Convex analysis
E-Convex functions
Fractional calculus
Generalized fractional integrals
Hölder’s integral inequality
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Power mean inequality
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Zusammenfassung:In this article, we establish some new Hadamard-type inequalities for E -convex functions involving generalized fractional integrals. These inequalities include a generalized Hadamard-type inequality and the corresponding right Hadamard-type inequalities for E -convex functions. The results presented here are generalizations of some of the results discussed in the recent literature.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02771-7