Hermite-Hadamard inequalities for left fractional conformable integral operator
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we first establish the Hermite-Hadamard inequality for left fractional conformable integral operators. Then, we present an example and a graph to illustrate the obtained Hermite-Hadamard inequalities. Moreover, we also present several corresponding trapezoid and midpoint inequalities. For this aim, we first prove two identities for differentiable functions. By using these equalities, we establish some trapezoid- and midpoint-type inequalities for convex functions. Furthermore, we present several remarks to give the relation between the obtained results in this paper and earlier ones.
Açıklama
Anahtar Kelimeler
Beta function, Fractional conformable integral operators, Hermite-Hadamard-type inequalities, Incomplete beta function
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
2025
Sayı
1