The second Hankel determinant for strongly convex and Ozaki close-to-convex functions

The Komatu Integral Operator and Strongly Close-to-convex Functions

In this paper we introduce some new subclasses of strongly closeto-convex functions de…ned by using the Komatu integral operator and study their inclusion relationships with the integral preserving properties. Theorem[section] [theorem]Lemma [theorem]Proposition [theorem]Corollary Remark

Second Hankel determinant for bi-starlike and bi-convex functions of order β

In this paper we obtain upper bounds for the second Hankel determinant H2(2) of the classes bi-starlike and bi-convex functions of order β, which we denote by S∗ σ(β) and Kσ(β), respectively. In particular, the estimates for the second Hankel determinat H2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

On the quadratic support of strongly convex functions

In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.

some properties of certain subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points

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