New Perspectives on Fractional Milne-Type Inequalities: Insights from Twice-Differentiable Functions
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper delves into an inquiry that centers on the exploration of fractional adaptations of Milne-type inequalities by employing the framework of twice-differentiable convex mappings. Leveraging the fundamental tenets of convexity, Hölder’s inequality, and the power-mean inequality, a series of novel inequalities are deduced. These newly acquired inequalities are fortified through insightful illustrative examples, bolstered by rigorous proofs. Furthermore, to lend visual validation, graphical representations are meticulously crafted for the showcased examples. © 2024, Emrah Evren KARA. All rights reserved.
Açıklama
Anahtar Kelimeler
Convex function, Fractional integrals, Milne type inequalities, Twice differentiable
Kaynak
Universal Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
7
Sayı
1
