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Research articles

ScienceAsia 46 (2020):ID 102-108 |doi: 10.2306/scienceasia1513-1874.2020.012


New Hermite-Hadamard-Fejér type inequalities for (η1, η2)-convex functions via fractional calculus


Sikander Mehmood*, Fiza Zafar, Nusrat Yasmin

 
ABSTRACT:      In this paper, we present some new Hermite-Hadamard-Fejér type inequality for fractional integrals for (η1, η2)-convex functions. Our results give some new error bounds for the weighted trapezoidal and weighted midpoint rules in fractional domain. The results presented here are noteworthy extensions of earlier works.

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a Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800 Pakistan

* Corresponding author, E-mail: sikander.mehmood@yahoo.com

Received 4 Sep 2019, Accepted 7 Jan 2020