TY - JOUR
T1 - On fractional biparameterized Newton-type inequalities
AU - Saleh, Wedad
AU - Lakhdari, Abdelghani
AU - Abdeljawad, Thabet
AU - Meftah, Badreddine
N1 - Publisher Copyright:
© 2023, Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.
AB - In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.
KW - Biparameterized identity
KW - Hölder and power mean inequalities
KW - Newton-type inequalities
KW - Riemann–Liouville operators
KW - α-convex functions
UR - http://www.scopus.com/inward/record.url?scp=85173930647&partnerID=8YFLogxK
U2 - 10.1186/s13660-023-03033-w
DO - 10.1186/s13660-023-03033-w
M3 - Article
AN - SCOPUS:85173930647
SN - 1025-5834
VL - 2023
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 122
ER -