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All Journal Jurnal Riset Mahasiswa Matematika
Ba'is, Mohamad Abdul
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Mathematics

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Journal : Jurnal Riset Mahasiswa Matematika

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Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen Ba'is, Mohamad Abdul; Rahman, Hairur; Herawati, Erna
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i1.14619

Abstract

Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.
Co-Authors Erna Herawati, Erna Hairur Rahman