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Estimates of trapezium-type inequalities for h-convex functions with applications to quadrature formulae
Journal article   Open access  Peer reviewed

Estimates of trapezium-type inequalities for h-convex functions with applications to quadrature formulae

Muhammad Samraiz, Fakhra Nawaz, Bahaaeldin Abdalla, Thabet Abdeljawad, Gauhar Rahman, Sajid Iqbal and Department of Medical Research, China Medical University, Taichung 40402, Taiwan
AIMS mathematics, Vol.6(7), pp.7625-7648
01/01/2021
DOI: https://doi.org/10.3934/math.2021443

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we develop a new class of trapezium-type inequalities up to twice differentiable h-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities. Based on our consequences, we will obtain some quadrature formulas as applications.
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https://doi.org/10.3934/math.2021443View
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