A note on some relations between certain inequalities and normalized analytic functions

Abstract

In this note, an extensive result consisting of several relations between certain inequalities and normalized analytic functions is first stated and some consequences of the result together with some examples are next presented. For the proof of the presented result, some of the assertions indicated in [5], [8] and [11] along with the results in [3] and [4] are also considered.

Keywords

• complex plane
• domains in the complex plane
• differential inequalities in the complex plane
• normalized analytic functions
• univalent
• starlikeness
• convexity
• 30c45
• 26a33
• 30c45