The aim of this paper is twofold. First, several basic mathematical concepts involved in the construction and study of Bregman type iterative algorithms are presented from a unified analytic perspective. Also, some gaps in the current knowledge about those concepts are filled in. Second, we employ existing results on total convexity, sequential consistency, uniform convexity and relative projec...

We introduce the notions of pointwise modulus of squareness and local modulus of squareness of a normed space X. This answers a question of C. Benitez, K. PrzesÃlawski and D. Yost about the definition of a sensible localization of the modulus of squareness. Geometrical properties of the norm of X (Fréchet smoothness, Gâteaux smoothness, local uniform convexity or strict convexity) are character...

Abstract The main aim of this article is to present some novel geometric properties for three distinct normalizations the generalized k k -Bessel functions, such as radii uniform convexity and α \alpha -convexity. In addition, we show that -convexity remain in between starlikeness convexity, case when <m:m...