Trapezoid-type Inequalities Based on Generalized Conformable Integrals via Co-ordinated $h$-Convex Mappings

In this study, some new trapezoid type inequalities are generalized for $h-$ convex functions in coordinates by means of generalized conformable fractional integrals. For functions with $h-$convex absolute values of their partial derivatives, some new trapezoid type inequalities are obtained using the well-known Holder and Power Mean inequalities. In addition, some findings of this study include some results based on Riemann Liouville fractional integrals.

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Publication Details

Journal
Fundamental Journal of Mathematics and Applications
Published
2024-12-31
DOI
https://doi.org/10.33401/fujma.1578534
Citations
2
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
1.95
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article

Trapezoid-type Inequalities Based on Generalized Conformable Integrals via Co-ordinated $h$-Convex Mappings

Mehmet Eyüp Kırış
2 citations
Fundamental Journal of Mathematics and Applications
Mathematical Inequalities and Applications
1.95
article

Trapezoid-type Inequalities Based on Generalized Conformable Integrals via Co-ordinated $h$-Convex Mappings

Mehmet Eyüp Kırış
article en
2 citations

Abstract

In this study, some new trapezoid type inequalities are generalized for $h-$ convex functions in coordinates by means of generalized conformable fractional integrals. For functions with $h-$convex absolute values of their partial derivatives, some new trapezoid type inequalities are obtained using the well-known Holder and Power Mean inequalities. In addition, some findings of this study include some results based on Riemann Liouville fractional integrals.

Fundamental Journal of Mathematics and ApplicationsVol. 7(4)
Afyon Kocatepe University (TR)
Reduced inequalities
Openalex Percentile: Top 12%
Mathematical Inequalities and Applications
1.95
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