Combinations

Tom Johnson uses numbers as base material, turning formulas, combinations and other mathematic phenomena into music. And somehow, this music becomes poetry, sometimes like a haiku, sometimes like a sonnet, sometimes descriptive and clear, often enigmatic but always beautiful.

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions.