Novel results on trapezoid-type inequalities for conformable fractional integrals
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Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tubitak Scientific & Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper establishes an identity for the case of differentiable s-convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by s-convex functions with the help of the conformable fractional integrals. Several important inequalities are acquired with taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, an example using graph is given in order to show that our main results are correct. By using the special choices of the obtained results, we present several new results connected with trapezoid-type inequalities.
Açıklama
Anahtar Kelimeler
Trapezoid-type inequality, fractional conformable integrals, fractional conformable derivatives, fractional calculus, convex function, Hadamard-Type Inequalities, Hermite-Hadamard, Differentiable Mappings, Real Numbers
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
47
Sayı
2
