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Advances in Operator Theory and Approximation: Applications and Convergence Techniques

Advances in Operator Theory and Approximation: Applications and Convergence Techniques

Hardcover

Series: Synthesis Lectures on Mathematics & Statistics

General Mathematics

PREORDER - Expected ship date December 15, 2026

ISBN10: 3032401666
ISBN13: 9783032401663
Publisher: Springer
Published: Dec 15 2026
Pages: 206
Language: English

This book provides a rigorous examination of modern operator theory focusing on the construction and convergence of linear positive operators in generalized function spaces. In addition, the book explores how to create mathematical shortcuts that accurately represent complex, real-world data using simpler, more manageable formulas. By integrating advanced summability methods-such as A-statistical and deferred weighted convergence, the book provides refined techniques for function approximation. From Fourier signal processing to black-box optimization, these chapters contribute to bridging the gap between abstract functional analysis and its applications. Readers will gain a better understanding of modern linear positive operators and advanced summability methods that extend beyond the limitations of classical approximation theory. A versatile toolset for analyzing convergence within complex, generalized function spaces is provided and equips readers to deal with new problems in signal processing, black-box optimization, and modeling.

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General Mathematics