Further refinement of young's type inequalities and its reversed using the Kantorovich constants
Filomat, Tome 37 (2023) no. 3, p. 675
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 show a multiple-term refinement of Young’s type inequality and its reverse via the Kantorovich constants, which extends and unifies two recent and important results due to L. Nasiri et al. (Result. Math (74), 2019), and C. Yang et al. (Journal. Math. Inequalities, (14), 2020). An application of these scalars results we give a multiple-term refinement of Young’s type inequalities for operators, Hilbert-Schmidt norms, traces and the unitarily invariant norms.
Classification :
15A60, 47A30
Keywords: Young’s type inequality, Operator inequality, Kantorovich constants, Trace
Keywords: Young’s type inequality, Operator inequality, Kantorovich constants, Trace
Mohamed Amine Ighachane; Mohamed Akkouchi. Further refinement of young's type inequalities and its reversed using the Kantorovich constants. Filomat, Tome 37 (2023) no. 3, p. 675 . doi: 10.2298/FIL2303675I
@article{10_2298_FIL2303675I,
author = {Mohamed Amine Ighachane and Mohamed Akkouchi},
title = {Further refinement of young's type inequalities and its reversed using the {Kantorovich} constants},
journal = {Filomat},
pages = {675 },
year = {2023},
volume = {37},
number = {3},
doi = {10.2298/FIL2303675I},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303675I/}
}
TY - JOUR AU - Mohamed Amine Ighachane AU - Mohamed Akkouchi TI - Further refinement of young's type inequalities and its reversed using the Kantorovich constants JO - Filomat PY - 2023 SP - 675 VL - 37 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2303675I/ DO - 10.2298/FIL2303675I LA - en ID - 10_2298_FIL2303675I ER -
%0 Journal Article %A Mohamed Amine Ighachane %A Mohamed Akkouchi %T Further refinement of young's type inequalities and its reversed using the Kantorovich constants %J Filomat %D 2023 %P 675 %V 37 %N 3 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2303675I/ %R 10.2298/FIL2303675I %G en %F 10_2298_FIL2303675I
Cité par Sources :