[Estimations de coefficients et de valeurs moyennes pour certaines classes de fonctions analytiques]
Nous considérons dans cette Note une classe de fonctions subordonnées à certaines fonctions convexes dans une direction, dont nous déterminons l'enveloppe convexe fermée et les points extrêmes. À l'aide de ces résultats, nous résolvons deux problèmes extrémaux, à savoir des estimations de coefficients et des estimations de moyenne pour les fonctions de cette classe.
In this article, we consider a class of functions that are subordinate to certain convex functions in one direction and determine the closed convex hull and its extreme points for functions in this class. Using these results, we solve two extremal problems, namely, coefficient estimates and mean estimates for functions in this class.
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@article{CRMATH_2019__357_5_436_0,
author = {Ali, Md Firoz and Vasudevarao, Allu},
title = {Coefficient estimates and integral mean estimates for certain classes of analytic functions},
journal = {Comptes Rendus. Math\'ematique},
pages = {436--442},
publisher = {Elsevier},
volume = {357},
number = {5},
year = {2019},
doi = {10.1016/j.crma.2019.04.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2019.04.013/}
}
TY - JOUR AU - Ali, Md Firoz AU - Vasudevarao, Allu TI - Coefficient estimates and integral mean estimates for certain classes of analytic functions JO - Comptes Rendus. Mathématique PY - 2019 SP - 436 EP - 442 VL - 357 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2019.04.013/ DO - 10.1016/j.crma.2019.04.013 LA - en ID - CRMATH_2019__357_5_436_0 ER -
%0 Journal Article %A Ali, Md Firoz %A Vasudevarao, Allu %T Coefficient estimates and integral mean estimates for certain classes of analytic functions %J Comptes Rendus. Mathématique %D 2019 %P 436-442 %V 357 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2019.04.013/ %R 10.1016/j.crma.2019.04.013 %G en %F CRMATH_2019__357_5_436_0
Ali, Md Firoz; Vasudevarao, Allu. Coefficient estimates and integral mean estimates for certain classes of analytic functions. Comptes Rendus. Mathématique, Tome 357 (2019) no. 5, pp. 436-442. doi : 10.1016/j.crma.2019.04.013. http://www.numdam.org/articles/10.1016/j.crma.2019.04.013/
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