A General Extremal Problem for the Class of Close-to-Convex Functions

The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions

In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].

An extremal problem for a class of entire functions

Let f be an entire function of the exponential type, such that the indicator diagram is in [−iσ, iσ ], σ > 0. Then the upper density of f is bounded by cσ , where c≈ 1.508879 is the unique solution of the equation log (√ c2 + 1 + c) =√1 + c−2. This bound is optimal. To cite this article: A. Eremenko, P. Yuditskii, C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2008 Académie des sciences. Publishe...

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

the fekete-szegö problem for a general class of bi-univalent functions satisfying subordinate conditions

in this work, we obtain the fekete-szegö inequalities for the class $p_{sigma }left( lambda ,phi right) $ of bi-univalent functions. the results presented in this paper improve the recent work of prema and keerthi [11].

Duality for the class of a multiobjective problem with support functions under $K$-$G_f$-invexity assumptions

‎In this article‎, ‎we formulate two dual models Wolfe and Mond-Weir related to symmetric nondifferentiable multiobjective programming problems‎. ‎Furthermore‎, ‎weak‎, ‎strong and converse duality results are established under $K$-$G_f$-invexity assumptions‎. ‎Nontrivial examples have also been depicted to illustrate the theorems obtained in the paper‎. ‎Results established in this paper unify...