Is it correct to use "are you" instead of "if you're"?

Question

As an example:

This is a good read, are you interested in more related topics.

What are these type of sentences called? Does it follow the same grammar as:

Should you require more information please do not hesitate to contact me.

Answer 1

This is a good read, are you interested in more related topics.

This is what we would call a comma-splice or run-on sentence. It is two independent clauses connected by a comma. Normal practice in standard written English is to separate these into two separate sentences or else use a semicolon to divide them:

This is a good read. Are you interested in more related topics?

or

This is a good read; are you interested in more related topics?

The second sentence is an example of a conditional sentence, and should is used as a (perhaps more genteel) replacement for if.

I don't see that these two sentences represent a single type, however. What are the commonalities you are trying to identify?

Edit: I forgot the question in giving my answer. "Are you ...?" is a declarative sentence cast as an interrogatory. "You are interested ..." would be declarative; reversing the order of subject and copula ("Are you ...") and adding a question mark makes it interrogatory. "Should you require ..." is a conditional clause expressing an untested possibility, followed by a polite imperative. The form is if X then do Y. Use either when you are asking for more information, but use the conditional clause only when you are setting specific conditions for the clause that follows.

Examples of conditional clauses:

If it rains tomorrow, the farmers will be happy.

If I get good marks in college, I may get into graduate school.

Here's a bowl of popcorn, should you feel like a snack during the movie.

If you are ever tempted to light a match while filling your gas tank, please notify me so I can stand far away.