Extremal Problems of Analysis and Applications
Series: Synthesis Lectures on Mathematics & Statistics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 8 October 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031947315
- Binding Hardback
- No. of pages205 pages
- Size 240x168 mm
- Language English
- Illustrations IX, 205 p. 22 illus., 19 illus. in color. Illustrations, black & white 700
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Long description:
This book presents solutions to various extremal problems in analysis and provides mathematical tools that can be used to solve complex problems in different areas of fundamental and applied science. These problems are not just theoretical, but they have practical applications in various fields including optimization and image processing. The book includes an in-depth exploration of Ostrowski type inequalities, covering their applications to operator theory, inequalities for derivatives, and optimization of cubature formulae. The authors also provide a comprehensive treatment of the Bojanov-Naidenov and Erdos problems and investigate their solutions for various function classes including differentiable functions, trigonometric polynomials, and splines. Additionally, the book explores sharp Remez type inequalities. These inequalities are examined in different metrics for various function classes including trigonometric polynomials and splines. The authors also include innovative research in image processing, focusing on the restoration of noise-corrupted optical images with simultaneous contrast enhancement and a variational approach to simultaneous fusion and denoising of color images with different spatial resolutions. This book is a valuable resource for researchers and graduate students in approximation theory, numerical analysis, and image processing.
MoreTable of Contents:
Introduction.- On Ostrowski Type Inequalities and Their Applications.- The Bojanov-Naidenov Problem for Differentiable Functions and the Erdos Problem for Polynomials and Splines.- A Sharp Remez Type Inequalities.- Restoration of the Noise Corrupted Optical Images with Their Simultaneous Contrast Enhancement.- Variational Approach to Simultaneous Fusion and Denoising.
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