Function spaces and operator theory form a rich and interconnected subdiscipline of modern analysis, embracing a variety of spaces that measure function regularity and oscillatory behaviour alongside ...

Operator overloading or ad-hoc polymorphism lets you work with user defined types much the same way you work with fundamental data types Polymorphism is one of the basic principles of OOP (Object ...

We introduce the cosine-type approximation processes in abstract Banach space setting. The historical roots of these processes go back to W. W. Rogosinski in 1926. The given new definitions use a ...

For a fixed nonnegative integer m, an analytic map φ and an analytic function ψ the generalized integration operator I φ , ψ m is defined by I φ , ψ m f z = ∫ 0 z f m φ ζ ψ ζ d ζ for X-valued analytic ...

Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...