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Browsing by Author "Liu, Jia-Bao"

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    Article
    Citation Count: Rashid, Saima...et al. (2020). "On Gruss inequalities within generalized K-fractional integrals", Advances in Difference Equations, Vol. 2020, No. 1.
    On Gruss inequalities within generalized K-fractional integrals
    (2020) Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam; Noor, Khalida Inaya; Baleanu, Dumitru; Liu, Jia-Bao; 56389; 234808
    In this paper, we introduce the generalized K-fractional integral in the frame of a new parameter K > 0. This paper offers some new important inequalities of Gruss type using the generalized K-fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.
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    Article
    Citation Count: Nie, Dongming...et al. (2019). "On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications", Mathematics, Vol. 7, No. 8.
    On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications
    (MDPI, 2019) Nie, Dongming; Rashid, Saima; Akdemir, Ahmet Ocak; Liu, Jia-Bao; Baleanu, Dumitru; 56389
    In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite-Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.