TY - JOUR
T1 - Hermite–Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions
AU - Stojiljković, Vuk
AU - Ramaswamy, Rajagopalan
AU - Alshammari, Fahad
AU - Ashour, Ola A.
AU - Alghazwani, Mohammed Lahy Hassan
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/7
Y1 - 2022/7
N2 - We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types of such inequalities are obtained, such as (p, h) fractional type inequality and many others, as the (p, h)-convexity is the generalization of the other convex inequalities. As a consequence of the (h, m)-convexity, the fractional inequality of the (s, m)-type is obtained. Many consequences of such fractional inequalities and generalizations are obtained.
AB - We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types of such inequalities are obtained, such as (p, h) fractional type inequality and many others, as the (p, h)-convexity is the generalization of the other convex inequalities. As a consequence of the (h, m)-convexity, the fractional inequality of the (s, m)-type is obtained. Many consequences of such fractional inequalities and generalizations are obtained.
KW - (h,m)-convex function
KW - (p,h)-convex function
KW - fractional inequality
KW - Hermite–Hadamard inequality
KW - Hölder inequality
UR - http://www.scopus.com/inward/record.url?scp=85133604977&partnerID=8YFLogxK
U2 - 10.3390/fractalfract6070376
DO - 10.3390/fractalfract6070376
M3 - Article
AN - SCOPUS:85133604977
SN - 2504-3110
VL - 6
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 7
M1 - 376
ER -