Abstract
In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are deduced. Several special cases are discussed. Results proved in this paper may stimulate further research in different areas of pure and applied sciences.
Highlights
We introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function
Convex functions and their variant forms are being used to study a wide class of problems which arises in various branches of pure and applied sciences
We introduce a new class of convex functions, which is called exponentially m-convex functions
Summary
Convex functions and their variant forms are being used to study a wide class of problems which arises in various branches of pure and applied sciences. We introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are deduced. Convex function; exponential convex function; Reimann-Liouville Fractional integral inequalit; Holder’s inequality and power-mean inequality.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
