Hermite–Hadamard Type Inequalities Involving <i>k</i>-Fractional Operator for (<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="bold-italic">h</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>,<i>m</i>)-Convex Functions

Hermite–Hadamard Type Inequalities Involving <i>k</i>-Fractional Operator for (<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="bold-italic">h</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>,<i>m</i>)-Convex Functions

The principal motivation of this paper is to establish a new integral equality related to <i>k</i>-Riemann Liouville fractional operator. Employing this equality, we present several new inequalities for twice differentiable convex functions that are associated with Hermite–Hadamard integ...

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Bibliographic Details
Main Authors: Soubhagya Kumar Sahoo, Hijaz Ahmad, Muhammad Tariq, Bibhakar Kodamasingh, Hassen Aydi, Manuel De la Sen
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Symmetry
Subjects:
Hermite–Hadamard inequality
<i>h</i>-convex function
Hölder inequality
power mean inequality
Hölder–İşcan integral inequality
<b>q</b>-digamma functions
Online Access:https://www.mdpi.com/2073-8994/13/9/1686

Internet

https://www.mdpi.com/2073-8994/13/9/1686

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