In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applications for P.D.F's are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.
In this paper, we introduce a new class called (α,β )-convex of Fαβ and give some basic properties for this class like positivity and (α,β ) convexity of compound function. (α,β )-convex functions are more general form of s-convex and ordinary convex functions. After basic and useful properties of this class we give Hermite-Hadamard inequality for this class then we give inequalities involving mappings H and F. Also we give an ineqauality for (α,β)-convex functions including a third mapping Ff w...
In this note, we give some necessary concepts and definitions, firstly. Then, we use k-ractional integral operators to establish some new integral inequalities for different kinds of convex functions. These integral inequalities include some Hadamard type integral inequalities that exist in literature for fractional integrals.
In this paper some new inequalities for product of di¤erent kinds of convex functions are obtained. To put forward new results, basic definitions of convex functions are considered in different ways and fairly elementary analysis is used.