STRONGLY n-FRACTIONAL POLYNOMIAL CONVEX FUNCTIONS AND RELATED INEQUALITIES

In this paper, we introduce the idea and notion of strongly n–fractional polynomial convex functions. We investigate some algebraic properties of the newly defined class of functions. We establish certain inequalities of Hermite–Hadamard type for our novel generalization. We have also compared our newly obtained results using both Hölder and Hölder-İşcan inequalities, as well as power-mean and improved-power-mean integral inequalities. The results obtained in this work extend and improve the orresponding ones in the literature

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Publication Details

Journal
Journal of Science and Arts
Published
2025-09-30
DOI
https://doi.org/10.46939/j.sci.arts-25.3-a13
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

STRONGLY n-FRACTIONAL POLYNOMIAL CONVEX FUNCTIONS AND RELATED INEQUALITIES

İmdat Işcan, Serap Özcan
Journal of Science and Arts
Mathematical Inequalities and Applications
article

STRONGLY n-FRACTIONAL POLYNOMIAL CONVEX FUNCTIONS AND RELATED INEQUALITIES

İmdat Işcan, Serap Özcan
article en

Abstract

In this paper, we introduce the idea and notion of strongly n–fractional polynomial convex functions. We investigate some algebraic properties of the newly defined class of functions. We establish certain inequalities of Hermite–Hadamard type for our novel generalization. We have also compared our newly obtained results using both Hölder and Hölder-İşcan inequalities, as well as power-mean and improved-power-mean integral inequalities. The results obtained in this work extend and improve the orresponding ones in the literature

Journal of Science and ArtsVol. 25(3)
Giresun University (TR), University of Arts (AL)
Openalex Percentile: Top 55%
Mathematical Inequalities and Applications
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