The ability to influence is traditionally a face-to-face communication skill of adaptation and interaction.
This requires you to read the environment and recognise the impact you make.
Attempting to influence readers using the content on your website is obviously not quite the same. You will not know the circumstances and background of the reader, nor will you be able to immediately adapt from any feedback.
Instead, you can replace the face-to-face aspects of influencing with your 'trusted expert' status, and create the environment by writing articles that describes a given scenario your reader can relate to. You can then use your perceived status and the created environment to open doors to different paths which the reader can choose to take, putting them in control. This will allow you to offer alternative perspectives and give your reader choice by providing relevant knowledge in the directions you are offering.