Geometric Interpretation and Some Analytical Properties of First Type S-Convex Function

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Sofihara Al Hazmy, Al Azhary Masta

2025 Boletim da Sociedade Paranaense de Matematica Vol. 43 Issue 2 Article Cited by 0 SDG 16 Quartile

Abstract

There are at least two types of s-convex functions. This article will only discuss the properties related to the first type of s-convex function, consist of the geometric meaning, monotonicity, continuity, inclusion properties, and Jensen’s inequality. The novelties of this research are the geometric meaning of first type s-convex function, the continuity at 0, inclusion properties of two s-convex function classes on an interval, and necessary and sufficient condition for Jensen’s type equality. All the properties will be proved analitically. © Soc. Paran. de Mat.

Affiliations

Universitas Pendidikan Indonesia, Indonesia

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