Multiplicatively m-convex interval valued function and its integral inequalities

Multiplicative convex function has a lot of implications in the field of mathematics and science. Moreover, it is crucial while studying mathematical statistics and special functions. In this work I set up the foundation of the notion of ``log m-convex interval-valued functions" (I.V.Fs), which is an amalgamation of the two well-known notions like m-convexity and interval calculus and explore its features via such a calculus. As I know that interval calculus deals with the techniques assumes the values in the whole interval instead of a single value. The authors also derive the well-known integral inequalities (Jensen and Hermite-Hadamard's type) related to log m-convex I.V.Fs. Examples are also included in order to more understand the findings.