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Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications

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We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120–129, 2019 ], to establish a fractional-type… Click to show full abstract

We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120–129, 2019 ], to establish a fractional-type integral identity with one parameter. We derive some parameterized integral inequalities for convex mappings based on this identity, and provide two examples to illustrate the investigated results as well. Moreover, we present applications of our findings to special means of real numbers, and error estimations for the quadrature formula in numerical analysis.

Keywords: parameterized inequalities; fractional integrals; inequalities means; means fractional; integrals exponential; applications parameterized

Journal Title: Journal of Inequalities and Applications
Year Published: 2020

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