TY - JOUR
T1 - Hermite–jensen–mercer-type inequalities via caputo–fabrizio fractional integral for h-convex function
AU - Vivas-Cortez, Miguel
AU - Saleem, Muhammad Shoaib
AU - Sajid, Sana
AU - Zahoor, Muhammad Sajid
AU - Kashuri, Artion
N1 - Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/12/10
Y1 - 2021/12/10
N2 - Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo–Fabrizio fractional integral. We develop some novel Caputo–Fabrizio fractional integral inequalities. We also present Caputo–Fabrizio fractional integral identities for differentiable mapping, and these will be used to give estimates for some fractional Hermite–Jensen–Mercer-type inequalities. Some familiar results are recaptured as special cases of our results.
AB - Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo–Fabrizio fractional integral. We develop some novel Caputo–Fabrizio fractional integral inequalities. We also present Caputo–Fabrizio fractional integral identities for differentiable mapping, and these will be used to give estimates for some fractional Hermite–Jensen–Mercer-type inequalities. Some familiar results are recaptured as special cases of our results.
KW - Caputo–Fabrizio fractional integral
KW - Convex function
KW - H-convex function
KW - Hermite–Hadamard inequality
KW - Hermite–Hadamard inequality
KW - Jensen inequality
KW - Jensen–Mercer inequality
UR - http://www.scopus.com/inward/record.url?scp=85121328800&partnerID=8YFLogxK
U2 - 10.3390/fractalfract5040269
DO - 10.3390/fractalfract5040269
M3 - Article
AN - SCOPUS:85121328800
SN - 2504-3110
VL - 5
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 4
M1 - 269
ER -