Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators. Based on this new identity, some generalized Bullen-type inequalities are obtained by employing convexity properties. Concrete examples are given to i...

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Bibliographic Details
Main Authors: Asfand Fahad, Saad Ihsaan Butt, Bahtiyar Bayraktar, Mehran Anwar, Yuanheng Wang
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Axioms
Subjects:
convex functions
Bullen’s inequality
Hadamard inequality
Hölder inequality
power mean
fractional integral operators
Online Access:https://www.mdpi.com/2075-1680/12/7/691

Internet

https://www.mdpi.com/2075-1680/12/7/691

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