Affiliation:
1. Department of Mathematics, Zarqa University, Zarqa, Jordan
Abstract
In this article, we provide refined inequalities for a convex Riemann’s integrable function using refinements of the classical Hermite-Hadamard inequality. The obtained results are applied on special functions to establish new improvements of inequalities on the weighted logarithmic mean and weighted identric mean. Moreover, corresponding operator inequalities are introduced based on the scalar inequalities and the monotonicity property for operators.
Reference11 articles.
1. A new class of operator monotone functions via operator means
2. Refined inequalities on the weighted logarithmic mean;S. Furuichi,2020
3. Some Ostrowski-Mercer type inequalities for differentiable convex functions via fractional integral operators with strong kernels;S. I. Butt;Applied and Computational Mathematics,2022
4. Inequalities for strongly convex functions via Atangana-Baleanu integral operators;Ş. Kizil;Turkish Journal of Science,2021
5. A variant of Jensen’s inequality of Mercer’s type for operators with applications
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