TY - JOUR
T1 - Hermite-Hadamard Inequalities via Riemann-Liouville Fractional Integrals with Generalized Convex Functions
AU - Samraiz, Muhammad
AU - Atta, Tahira
AU - Naheed, Saima
AU - Rahman, Gauhar
AU - Vivas-Cortez, Miguel
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/7
Y1 - 2025/7
N2 - In this study, novel fractional integral inequalities for twice-differentiable geometrically arithmetically (α, m)-convex functions are presented. The classical Riemann-Liouville fractional integrals are used to obtain several new identities. By employing the above convexity, Hermite-Hadamard type inequalities are investigated using these identities. The main findings of this work extend the existing literature and are derived as special cases.
AB - In this study, novel fractional integral inequalities for twice-differentiable geometrically arithmetically (α, m)-convex functions are presented. The classical Riemann-Liouville fractional integrals are used to obtain several new identities. By employing the above convexity, Hermite-Hadamard type inequalities are investigated using these identities. The main findings of this work extend the existing literature and are derived as special cases.
KW - Fractional Integrals
KW - Geometrically Arithmetically (α
KW - Hermite-Hadamard Type Inequalities
KW - Hölder’s Inequality
KW - m)-Convex
UR - https://www.scopus.com/pages/publications/105013635685
U2 - 10.29020/nybg.ejpam.v18i3.6413
DO - 10.29020/nybg.ejpam.v18i3.6413
M3 - Artículo
AN - SCOPUS:105013635685
SN - 1307-5543
VL - 18
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
IS - 3
M1 - 6413
ER -