Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions
Filomat, Tome 37 (2023) no. 28, p. 9497
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we present a fractional integral identity, and then based upon it we establish the Maclaurin’s inequalities for multiplicatively convex functions and multiplicatively P-functions via multiplicative Riemann–Liouville fractional integrals.
Classification :
26A33, 26A51, 26D10, 26D15
Keywords: Hermite–Hadamard’s inequality, multiplicative Riemann–Liouville fractional integrals, multiplicative differentiable functions
Keywords: Hermite–Hadamard’s inequality, multiplicative Riemann–Liouville fractional integrals, multiplicative differentiable functions
Yu Peng; Tingsong Du. Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions. Filomat, Tome 37 (2023) no. 28, p. 9497 . doi: 10.2298/FIL2328497P
@article{10_2298_FIL2328497P,
author = {Yu Peng and Tingsong Du},
title = {Fractional {Maclaurin-type} inequalities for multiplicatively convex functions and multiplicatively {P-functions}},
journal = {Filomat},
pages = {9497 },
year = {2023},
volume = {37},
number = {28},
doi = {10.2298/FIL2328497P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328497P/}
}
TY - JOUR AU - Yu Peng AU - Tingsong Du TI - Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions JO - Filomat PY - 2023 SP - 9497 VL - 37 IS - 28 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2328497P/ DO - 10.2298/FIL2328497P LA - en ID - 10_2298_FIL2328497P ER -
%0 Journal Article %A Yu Peng %A Tingsong Du %T Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions %J Filomat %D 2023 %P 9497 %V 37 %N 28 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2328497P/ %R 10.2298/FIL2328497P %G en %F 10_2298_FIL2328497P
Cité par Sources :