Year-end Sale % OFF 
Abstract
The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Some special cases are also discussed. The ideas and techniques of this paper may stimulate further research.
Highlights
Convexity theory has become a rich source of inspiration in pure and applied sciences
The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h, r)-harmonic convex functions
Gordji et al [3, 4] considered a new class of convex functions, which is called the generalized convex( φ-convex) functions
Summary
Convexity theory has become a rich source of inspiration in pure and applied sciences. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Pearce et al [18] generalized the Hermite-Hadamard inequality to a r -convex positive functions.
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.
