On Fractional Newton Inequalities via Coordinated Convex Functions
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, firstly, we present an integral identity for functions of two variables via Riemann-Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable coordinated convex mappings is derived by taking the absolute value of the obtained identity. Moreover, several inequalities are obtained with the aid of the Holder and power mean inequality. In addition, we investigate some Newton-type inequalities utilizing mappings of two variables with bounded variation. Finally, we gave some mathematical examples and their graphical behavior to validate the obtained inequalities.
Açıklama
Anahtar Kelimeler
Newton-Type Inequality; Fractional Calculus; Co-Ordinated Convex Functions; Bounded Variation Functions; Riemann Stieltjes Integrals, Hadamard-Type Inequalities; Simpson Type; Integrals
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
14
Sayı
8
