Abstract
In this chapter, we introduce the class of \(\eta _\varphi \)-convex functions which is larger than the class of \(\eta \)-convex functions introduced by Gordji et al. (Preprint Rgmia Res Rep Coll 1–14, 2015 [1]). Some Fejér type integral inequalities are established for this new class of functions. As consequences, we deduce some Hermite–Hadamard type inequalities involving different kinds of fractional integrals.
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Jleli, M., O’Regan, D., Samet, B. (2018). A New Class of Generalized Convex Functions and Integral Inequalities. In: Agarwal, P., Dragomir, S., Jleli, M., Samet, B. (eds) Advances in Mathematical Inequalities and Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-3013-1_4
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DOI: https://doi.org/10.1007/978-981-13-3013-1_4
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