A Study Of Fractional Hermite-Hadamard-Mercer Inequalities For Differentiable Functions
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite-Hadamard-Mercer-type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson's type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs.
Description
Keywords
Midpoint Inequalities, Trapezoidal Inequalities, Simpson's Inequalities, Jensen-Mercer Inequality, Real Numbers, Mappings
Journal or Series
Fractals-Complex Geometry Patterns And Scaling in Nature And Society
WoS Q Value
N/A
Scopus Q Value
Q1
Volume
32
Issue
2
