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On some Hermite–Hadamard inequalities involving k-fractional operators

Shanhe Wu, Sajid Iqbal, Muhammad Aamir and 2 more

Journal of Inequalities and Applications · 2021

doi:10.1186/s13660-020-02527-1 (opens in a new tab)

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Abstract

Abstract The main objective of this paper is to establish some new Hermite–Hadamard type inequalities involving k-Riemann–Liouville fractional integrals. Using the convexity of differentiable functions some related inequalities have been proved, which have deep connection with some known results. At the end, some applications of the obtained results in error estimations of quadrature formulas are also considered.

Abstract licence: CC BY-NC-ND

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