Complexity of Pattern Classes and Lipschitz Property

Sufficient Conditions for Density in Extended Lipschitz Algebras

Composition operators and natural metrics in meromorphic function classes $Q_p$

‎In this paper‎, ‎we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $Q_p$-classes‎. ‎Also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎Moreover‎, ‎compact composition operators $C_phi$ and Lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $Q_p$-classes are characte...

Development of Fluency, Accuracy, and Complexity in Productive Skills of EFL learners across Gender and Proficiency: A Chaos Complexity Approach

This study was an attempt to investigate the developmental rate of fluency, accuracy and complexity among 12 EFL learners within the framework of chaos complexity theory. To carry out this study, 6 female and 6 male participants in two levels of proficiency (pre-and upper-intermediate) were put in two classes taught by the same teacher and following the same course. Every two months (for a peri...

Characterizations of Banach Spaces via Convex and Other Locally Lipschitz Functions

Various properties of Banach spaces, including the reeexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces.

$L_p$-Testers for Bounded Derivative Properties on Product Distributions

We consider the problem of Lp-testing of class of bounded derivative properties over hypergrid domain with points distributed according to some product distribution. This class includes monotonicity, the Lipschitz property, (α, β)-generalized Lipschitz and many more properties. Previous results for Lp testing on [n] d for this class were known for monotonicity and c-Lipschitz properties over un...