Affiliation:
1. Department of Mathematics, Faculty of Art and Science, Kırklareli University, Kırklareli, Turkey
Abstract
In this paper, we defined and studied the concept of exponential type
multiplicatively convex functions and some of their algebraic properties. We
derived Hermite-Hadamard inequalities for this class of functions. We also
established new Hermite-Hadamard type inequalities for the product and
quotient of exponential type multiplicatively convex functions. In addition,
we obtained new multiplicative integral based inequalities for the quotient
and product of exponential type multiplicatively convex functions and convex
functions. The results in this study could potentially inspire further
research in various scientific fields.
Publisher
National Library of Serbia
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