Approximation Theory

Focusing on the computational aspects of moduli of continuity, this monograph uniquely integrates the entire calculus of moduli of smoothness. It avoids the K-functional method for explicit constants and emphasizes applications in Approximation Theory, providing exact error values. The second part examines the Global Smoothness Preservation Property (GSPP) across various linear approximation operators, establishing a general theory for its validity. The book also explores diverse applications in mathematics and computer-aided geometric design, marking a significant contribution to the literature on GSPP.