Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present outcomes are the generalization of already ob...

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Veröffentlicht in:Journal of function spaces 2022-02, Vol.2022, p.1-12
Hauptverfasser: Nasir, Jamshed, Qaisar, Shahid, Butt, Saad Ihsan, Khan, Khuram Ali, Mabela, Rostin Matendo
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Bessel functions
Calculus
Concavity
Convex analysis
Convexity
Fractional calculus
Inequalities
Integrals
Mathematical functions
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Zusammenfassung:Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present outcomes are the generalization of already obtained results. Applications to beta, q-digamma, and Bessel functions are also provided.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/2113742