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Opial-type inequalities for convex functions and associated results in fractional calculus

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This paper is dedicated to Opial-type inequalities for arbitrary kernels using convex functions. These inequalities are further applied to a power function. Applications of the presented results are studied in… Click to show full abstract

This paper is dedicated to Opial-type inequalities for arbitrary kernels using convex functions. These inequalities are further applied to a power function. Applications of the presented results are studied in fractional calculus via fractional integral operators by associating special kernels.

Keywords: fractional calculus; type inequalities; inequalities convex; opial type; convex functions

Journal Title: Advances in Difference Equations
Year Published: 2019

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