Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied ...

This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how ...

The question in the title is answered using tools of potential theory. Convergence and divergence rates of interpolants of analytic functions on the unit interval are analysed. The starting point is a ...

We deal with a method of enhanced convergence for the approximation of analytic functions. This method introduces conformal transformations in the approximation problems, in order to help extract the ...

Taiwanese Journal of Mathematics, Vol. 16, No. 1 (February 2012), pp. 387-408 (22 pages) Abstract The purpose of the present paper is to introduce and investigate the function classes k-𝒮𝒫(α, β) and ...

Convex optimization algorithms such as gradient descent, quasi-Newton methods, and their variants are designed to find the global minimum of strongly convex functions. When these algorithms are ...