"reinforce the popularity of" is a correct phrase and can be used in written English.
It means to strengthen or increase the level of popularity for something. It can be used in many contexts, such as discussing the success of a product or the influence of a trend. Example: The constant positive reviews and word-of-mouth recommendations from satisfied customers have helped reinforce the popularity of the new restaurant in town.
They stand to reinforce the popularity of the brand, devices and devotion of fans, but those same fans are often derided by the media and the public for being obsessive.
In their conclusions, they reinforce the popularity of the Tanimoto coefficient and they suggest several other similarity metrics for data fusion.
Interview with father of Kwasi, shrine, 18th June 2008 Spiritual perspectives on mental illness reinforce the popularity of the shrines and churches, since, unlike the hospitals, they address factors such as evil spirits, sorcery and witchcraft, which are commonly seen to have caused mental illness.
The sessions launched the careers of The Carter Family and Jimmie Rodgers and reinforced the popularity of Ernest V. "Pop" Stoneman whose music career was already well established in the recording industry.
Those doubts have been reinforced by the popularity of a spelling bee-type televised character-writing competition called the "Chinese Character Dictation Conference".
Refer students back to ideas mentioned during the initial activity to reinforce the idea of popularity over time and trends.
There are also a few lines whose popularity might reinforce the cliche of the shy, mousy reader.
It's amazing to see the popularity of the app reinforce our original vision of Qwiki as a multi-platform experience".
Prizes are subjective measures, but they are important: they reinforce the standards of great writing in our culture, with a focus on quality rather than popularity.
IAAF president Lamine Diack says "The wonderful athletics competition in London has not only reinforced the appeal of our sport but specifically the popularity of relay races, which the spectators find dramatic and exciting".
This serves to reinforce the growth of an ecosystem.
