Abstract
AbstractThis paper is devoted to proving some new fractional inequalities via recent generalized fractional operators. These inequalities are in the Hermite–Hadamard and Minkowski settings. Many previously documented inequalities may clearly be deduced as specific examples from our findings. Moreover, we give some comparative remarks to show the advantage and novelty of the obtained results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference32 articles.
1. Abdeljawad, T., Mohammed, P.O., Kashuri, A.: New modified conformable fractional integral inequalities of Hermite–Hadamard type with applications. J. Funct. Spaces 2020, 4352357 (2020)
2. Alqudah, M.A., Kashuri, A., Mohammed, P.O., Abdeljawad, T., Raees, M., Anwar, M., Hamed, Y.S.: Hermite–Hadamard integral inequalities on coordinated convex functions in quantum calculus. Adv. Differ. Equ. 2021, 264 (2021)
3. Bougoffa, L.: On Minkowski and Hardy integral inequality. JIPAM. J. Inequal. Pure Appl. Math. 7, 60 (2006)
4. Dahmani, Z.: On Minkowski and Hermite–Hadamard integral inequalities via fractional integral. Ann. Funct. Anal. 1, 51–58 (2010)
5. Fernandez, A., Mohammed, P.: Hermite–Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels. Math. Methods Appl. Sci. 44, 8414–8431 (2021)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献