On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals
نویسندگان
چکیده
منابع مشابه
On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals
In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.
متن کاملON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
In this paper, a new general identity for differentiable mappings via Riemann-Liouville fractional integrals has been defined. By using of this identity, author has obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolutely value at certain powers are s-convex in the second sense.
متن کاملOn 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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In this paper, some Hermite-Hadamard-Fejer type integral inequalities for harmonically s-convex functions in fractional integral forms have been obtained.
متن کاملHermite-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: Applied Mathematics and Computation
سال: 2016
ISSN: 0096-3003
DOI: 10.1016/j.amc.2015.11.074