Document Type : Research Paper
Authors
- Sikander Mehmood ^{} ^{} ^{1}
- Fiza Zafar ^{2}
^{1} Department of Mathematics, Govt. Graduate College Sahiwal, Pakistan.
^{2} Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Abstract
In this paper, for generalised preinvex functions, new estimates of the Fej'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study. We demonstrated a fractional integral inequalities based on Fej'{e}r-Hermite-Hadamard theory. We establish two new local fractional integral identities for differentiable functions. We construct several novel Fej'{e}r-Hermite-Hadamard-type inequalities for generalized convex function in local fractional calculus
contexts using these integral identities. We provide a few illustrations to highlight the uses of the obtained findings. Furthermore, we have also given a few examples of new inequalities in use.
Keywords
- Hermite-Hadamard-inequality
- Hermite-Hadamard-Fejér inequality
- Local fractional integral
- Generalized Preinvex function
Main Subjects
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