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초록
In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [ f (x)](n). Some related inequalities are also introduced. By applying those results in analysis, we obtain new upper and lower bounds for the error function.
키워드
Hermite-Hadamard inequality; Jensen's inequality; convex function; error function; power function
- 제목
- An extension of the Hermite-Hadamard inequality for a power of a convex function
- 저자
- Sayyari, Yamin; Dehghanian, Mehdi; Park, Choonkil; Paokanta, Siriluk
- 발행일
- 2023-02
- 유형
- Article
- 저널명
- Open Mathematics
- 권
- 21
- 호
- 1
- 페이지
- 1 ~ 11