On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 26-34
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In the paper [1] the notion of the $\langle\rho_j, W_j\rangle$ absolutely monotone function was introduced. In the present paper we give some examples of sequences $\Big\{W_j (x)\Big\}^{\infty}_0$ consider the corresponding classes of $\langle\rho_j, W_j\rangle$ absolute monotone functions and study the problems of thei representation.
Keywords:
operators of Riemann-Liouville type, $\langle\rho_j, W_j\rangle$ absolutely monotone functions.
@article{UZERU_2014_1_a5,
author = {B. A. Sahakyan},
title = {On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {26--34},
publisher = {mathdoc},
number = {1},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2014_1_a5/}
}
TY - JOUR AU - B. A. Sahakyan TI - On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2014 SP - 26 EP - 34 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2014_1_a5/ LA - en ID - UZERU_2014_1_a5 ER -
%0 Journal Article %A B. A. Sahakyan %T On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2014 %P 26-34 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2014_1_a5/ %G en %F UZERU_2014_1_a5
B. A. Sahakyan. On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 26-34. http://geodesic.mathdoc.fr/item/UZERU_2014_1_a5/