Hermite-Hadamard inequalities for left fractional conformable integral operator

Küçük Resim Yok

Tarih

2025

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

Künye