Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Access Rights
info:eu-repo/semantics/openAccess
Abstract
The main goal of the current study is to establish some new parameterized Newton-type inequalities for differentiable convex functions in the setting of fractional calculus. For this, first we prove a parameterized integral identity involving fractional integrals and then prove Newton-type inequalities for differentiable convex functions. It is also shown that the newly established parameterized inequalities are refinements of the already proved inequalities in the literature for different choices of parameters. Finally, we discuss a mathematical example along with a plot to show the validity of the newly established inequalities.
Description
Keywords
Simpson's 3/8 formula, Fractional Calculus, Convex Functions, Hadamard Type Inequalities, Convex-Functions, Simpsons Type, Real Numbers, Mappings
Journal or Series
Journal of Inequalities And Applications
WoS Q Value
Q1
Scopus Q Value
Q2
Volume
2023
Issue
1
