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On a Generalization of Strongly $\eta$-Convex Functions via Fractal Sets

Functional Analysis 2021-12-15 v1

Abstract

The purpose of this paper is to study a generalization of strongly η\eta-convex functions using the fractal calculus developed by Yang \cite{Yang}, namely generalized strongly η\eta-convex function. Among other results, we obtain some Hermite-Hadamard and Fej\'er type inequalities for this class of functions.

Keywords

Cite

@article{arxiv.2004.06852,
  title  = {On a Generalization of Strongly $\eta$-Convex Functions via Fractal Sets},
  author = {Zaroni Robles and José Sanabria and Rainier Sánchez},
  journal= {arXiv preprint arXiv:2004.06852},
  year   = {2021}
}