In this study, at first we provide a general overview of L^p(x)(Ω) spaces, also known as variable exponent Lebesgue spaces. They are a generalization of classical Lebesgue spaces L^p 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 L^p(x)(Ω). Therefore, our proof in variable exponent Lebesgue space is very similar to that in classical Lebesgue space.
Alan : Fen Bilimleri ve Matematik; Mühendislik; Sağlık Bilimleri; Ziraat, Orman ve Su Ürünleri
Dergi Türü : Uluslararası
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