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We have established this paper on m convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m-convex functions. Using this identity, various properties of m convex functions and classical inequalities, some new integral inequalities have been proved. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new subclass Mp(n, α, c) of analytic and multivalent functions in the unit disk which includes the class Sp(n, α) of multivalent starlike functions of order α and the class Tp(n, α) of multivalent convex functions of order α . Using generalized Bernardi Libera integral operator and H ölder's inequality, some interesting properties of convolution for the class Mp(n, α, c) are considered [ABSTRACT FROM AUTHOR]

In the present paper we introduce the subclass Saclambda (p,A,B) of analytic functions and then we investigate some interesting properties of functions belonging to this subclass. Our results generalize many results known in the literature and especially generalize some of the results obtained by Ling and Liu [5]. [ABSTRACT FROM AUTHOR]

In this paper, we consider a class of uniformly starlike functions defined by certain integral operator. We determine a sufficient condition for a function f to be uniformly starlike function that is also necessary when f has negative coefficients. Similar results for corresponding subclasses of uniformly convex functions are also obtained. [ABSTRACT FROM AUTHOR]