Hermite-Hadamard Fractional Integral Inequalities via Abel-Gontscharoff Green’s Function

Yixia Li, Muhammad Samraiz, Ayesha Gul, Miguel Vivas-Cortez, Gauhar Rahman

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presented in this study using a relatively novel approach based on Abel-Gontscharoff Green’s function. In this new technique, we first established some integral identities. Such identities are used to obtain new results for monotonic functions whose second derivative is convex (concave) in absolute value. Some previously published inequalities are obtained as special cases of our main results. Various applications of our main consequences are also explored to special means and trapezoid-type formulae.

Idioma originalInglés
Número de artículo126
PublicaciónFractal and Fractional
Volumen6
N.º3
DOI
EstadoPublicada - 23 feb. 2022

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© 2022 by the authors. Licensee MDPI, Basel, Switzerland.

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