Generalizations of Simpson type inequality for (?, m)-convex functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Several scholars are interested in fractional operators with integral inequalities. Due to its characteristics and wide range of applications in science, engineering fields, artificial intelligence and fractional inequalities should be employed in mathematical investigations. In this paper, we establish the new identity for the Caputo-Fabrizio fractional integral operator. By utilizing this identity, the generalization of Simpson type inequality for ( alpha, m ) -convex functions via the Caputo-Fabrizio fractional integral operator. Furthermore, we also include the applications to special means, q -digamma functions, Simpson formula, Matrix inequalities, Modified Bessel function, and mind -point formula. These applications have given a new dimension to scholars.
Açıklama
Anahtar Kelimeler
Simpson type inequalities, ( alpha, m )-convex function, Fractional integrals, Holders inequality, Power-mean inequality, Hermite-Hadamard Type, Differentiable Mappings, Real Numbers, Convex-Functions
Kaynak
Filomat
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
38
Sayı
10
