in this paper, we study the convexity of the integral operator

In this paper, we consider the class of strongly bi-close-to-convex functions order ? and ?. We obtain an upper bound estimate for second Hankel determinant belonging to these classes. The results in article improve some earlier result obtained bi-convex functions.

in this paper we establish several polynomials similar to bernstein's polynomials and several refinements of  hermite-hadamard inequality for convex functions.

By utilizing the concept of q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass A, where class A contains normalized analytic functions in open unit disk E is invariant or symmetric under rotation. First, using Faber polynomial expansion (FPE) technique, determine lth coefficient bound for contained within this class. We provide further explanation first ...

In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...