A variant of Jensen-type inequality and related results for harmonic convex functions

• Main Authors: Imran Abbas Baloch, Aqeel Ahmad Mughal, Yu-Ming Chu, Absar Ul Haq, Manuel De La Sen
• Format: Article
• Language: English
• Published: AIMS Press 2020-08-01
• Series: AIMS Mathematics
• Subjects: convex functions; harmonic convex functions; harmonic h-convex functions; jensen-type inequality; discrete hölder inequality; hermite-hadamard-type inequality
• Online Access: https://www.aimspress.com/article/10.3934/math.2020412/fulltext.html
• ISSN: 2473-6988

In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic h-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic h-convex functions.