Abstract

The present study is mainly concerned with one class of generalized convex functions in the sense of Beckenbach. The existence of the support curves is presented for this class, which leads to its generalized convexity. In addition, an extremum property of these functions is given. Furthermore, Hadamard's inequality for this class is obtained.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 4
Year: 2022

DOI: 10.12732/ijam.v35i4.6

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