Sofihara Al Hazmy, Al Azhary Masta, Mochammad Idris
By replacing the convexity of Young’s function with first type s-convexity, we construct a novel function space that generalize the classical Orlicz space, which we called as s-Orlicz space. Several essential properties such as completeness, inclusion, and Hölder’s type inequality have been established. This novel concept unlock a new branch in function space arising in harmonic analysis study field. © The Author(s), under exclusive licence to The Forum D’Analystes 2026.
Mathematics Study Programme, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia, Bandung, 40154, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lambung Mangkurat, Banjarbaru, 70714, Indonesia
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