Differential subordination and convexity criteria of integral operators

R. Chandrashekar, See Keong Lee, and K.G. Subramanian. "Differential subordination and convexity criteria of integral operators." Open Mathematics 15.1 (2017): 1509-1516. <http://eudml.org/doc/288469>.

@article{R2017,
abstract = {A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.},
author = {R. Chandrashekar, See Keong Lee, K.G. Subramanian},
journal = {Open Mathematics},
keywords = {Convex functions; Differential subordination; Integral operators},
language = {eng},
number = {1},
pages = {1509-1516},
title = {Differential subordination and convexity criteria of integral operators},
url = {http://eudml.org/doc/288469},
volume = {15},
year = {2017},
}

TY - JOUR
AU - R. Chandrashekar
AU - See Keong Lee
AU - K.G. Subramanian
TI - Differential subordination and convexity criteria of integral operators
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1509
EP - 1516
AB - A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.
LA - eng
KW - Convex functions; Differential subordination; Integral operators
UR - http://eudml.org/doc/288469
ER -