1,107 research outputs found
New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals
In this paper, the author introduces the concept of the quasi-geometrically
convex and defines a new identity for fractional integrals. By using of this
identity, author obtains new estimates on generalization of Hadamard, Ostrowski
and Simpson type inequalities for GA-s-convex, quasi-geometrically convex and
(s,m)-GA-convex functions via Riemann Liouville fractional integral.Comment: 15 page
On new general integral inequalities for h- convex functions
In this paper, we derive new estimates for the remainder term of the
midpoint, trapezoid, and Simpson formulae for functions whose derivatives in
absolute value at certain power are h-convex and we point out the results for
some special classes of functions. Some applications to special means of real
numbers are also given.Comment: 18 page
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