A REVERSE HÖLDER INEQUALITY IN L^p(x)(Ω)

In this study, at first we provide a general overview of     px L  spaces, also known as variable exponent Lebesgue spaces.They are a generalization of classical Lebesgue spaces p L in the sense that constant exponent replaced by a measurable function.Then, based on classical Lebesgue space approach we prove a reverse of Hölder inequality in     px L  .Therefore, our proof in variable exponent Lebesgue space is very similar to that in classical Lebesgue space.