Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral

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On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals

In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional int...

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Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals

holds. This double inequality is known in the literature as Hermite-Hadamard integral inequality for convex functions. Note that some of the classical inequalities for means can be derived from (1.1) for appropriate particular selections of the mapping f . Both inequalities hold in the reversed direction if f is concave. For some results which generalize, improve and extend the inequalities (1....

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ژورنال

عنوان ژورنال: New Trends in Mathematical Science

سال: 2016

ISSN: 2147-5520

DOI: 10.20852/ntmsci.2016216999