Some new parameterized inequalities based on Riemann-Liouville fractional integrals
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we first obtain an identity that we will use throughout the article. With the help of this equality, new inequalities involving a real parameter are established for Riemann-Liouville fractional integrals. For this purpose, properties of the differentiable convex function, Ho & BULL;lder inequality, and power -mean inequality are used. In addition, new results are established with special choices of parameters in all proven inequalities. Our results are supported by examples and graphs. It is shown that some of these results generalize the trapezoid type and Newton-type inequalities.
Açıklama
Anahtar Kelimeler
Newton-type inequality, Trapezoid type inequality, fractional calculus, convex functions
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
23
