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- W2616822239 abstract "In this paper, we derive a new extension of Hermite-Hadamard's inequality via k-Riemann-Liouville fractional integrals. Two new k-fractional integral identities are also derived. Then, using these identities as an auxiliary result, we obtain some new k-fractional bounds which involve k-Appell's hypergeometric functions. These bounds can be viewed as new k-fractional estimations of trapezoidal and mid-point type inequalities. These results are obtained for the functions which have the harmonic convexity property. We also discuss some special cases which can be deduced from the main results of the paper." @default.
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- W2616822239 date "2017-05-18" @default.
- W2616822239 modified "2023-09-23" @default.
- W2616822239 title "On bounds involving k-Appell’s hypergeometric functions" @default.
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- W2616822239 doi "https://doi.org/10.1186/s13660-017-1391-2" @default.
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