Generalized Kantorovich sampling type series on hypergroups
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1
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In this article, we introduce and study a
family of integral operators in the Kantorovich sense
acting on functions defined on hypergroups. We obtain the
pointwise and uniform convergence results for these operators in
the setting of Orlicz spaces with respect to the modular convergence.
Publié le :
DOI :
10.30755/NSJOM.07047
Classification :
41A35, 46E30, 43A62
Keywords: Kantorovich sampling type operators, Orlicz spaces, hypergroups, pointwise convergence, uniform convergence
Keywords: Kantorovich sampling type operators, Orlicz spaces, hypergroups, pointwise convergence, uniform convergence
@article{10.30755/NSJOM.07047,
author = {A. Sathish Kumar and Mahmood Pourgholamhossein and Seyyed Mohammad Tabatabaie},
title = {Generalized {Kantorovich} sampling type series on hypergroups},
journal = {Novi Sad Journal of Mathematics},
pages = {117 - 127},
year = {2018},
volume = {48},
number = {1},
doi = {10.30755/NSJOM.07047},
url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07047/}
}
TY - JOUR AU - A. Sathish Kumar AU - Mahmood Pourgholamhossein AU - Seyyed Mohammad Tabatabaie TI - Generalized Kantorovich sampling type series on hypergroups JO - Novi Sad Journal of Mathematics PY - 2018 SP - 117 EP - 127 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07047/ DO - 10.30755/NSJOM.07047 ID - 10.30755/NSJOM.07047 ER -
%0 Journal Article %A A. Sathish Kumar %A Mahmood Pourgholamhossein %A Seyyed Mohammad Tabatabaie %T Generalized Kantorovich sampling type series on hypergroups %J Novi Sad Journal of Mathematics %D 2018 %P 117 - 127 %V 48 %N 1 %U http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07047/ %R 10.30755/NSJOM.07047 %F 10.30755/NSJOM.07047
A. Sathish Kumar; Mahmood Pourgholamhossein; Seyyed Mohammad Tabatabaie. Generalized Kantorovich sampling type series on hypergroups. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1. doi: 10.30755/NSJOM.07047
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