Majorization Problem for q-General Family of Functions with Bounded Radius Rotations
Kanwal Jabeen,
Afis Saliu,
Jianhua Gong
et al.
Abstract:In this paper, we first prove the q-version of Schwarz Pick’s lemma. This result improved the one presented earlier in the literature without proof. Using this novel result, we study the majorization problem for the q-general class of functions with bounded radius rotations, which we introduce here. In addition, the coefficient bound for majorized functions related to this class is derived. Relaxing the majorized condition on this general family, we obtain the estimate of coefficient bounds associated with the… Show more
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