Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions

In this article, we present a new integral identity based on conformable fractional integral operators with the help of twice-differentiable functions. Then, using this newly derived identity, we propose several Milne-type inequalities for twice-differentiable convex functions by means of conformable fractional integral operators and offer an example with an associated graph. Also, we note that the obtained results improve and expand some of the previous discoveries in the field of integral inequalities. Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.

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Publication Details

Journal
Fundamental Journal of Mathematics and Applications
Published
2025-03-28
DOI
https://doi.org/10.33401/fujma.1610936
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
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article

Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions

İzzettin Demir, Esra Üneş
1 citations
Fundamental Journal of Mathematics and Applications
Mathematical Inequalities and Applications
3.73
article

Conformable Fractional Milne-Type Inequalities Through Twice-Differentiable Convex Functions

İzzettin Demir, Esra Üneş
article en
1 citations

Abstract

In this article, we present a new integral identity based on conformable fractional integral operators with the help of twice-differentiable functions. Then, using this newly derived identity, we propose several Milne-type inequalities for twice-differentiable convex functions by means of conformable fractional integral operators and offer an example with an associated graph. Also, we note that the obtained results improve and expand some of the previous discoveries in the field of integral inequalities. Moreover, along with expanding on previous results, our results suggest effective approaches and methods for dealing with a variety of mathematical and scientific issues.

Fundamental Journal of Mathematics and ApplicationsVol. 8(1)
Düzce Üniversitesi (TR)
Openalex Percentile: Top 12%
Mathematical Inequalities and Applications
3.73
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