Extremal Problems of Analysis and Applications
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 incl...
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| Hoofdauteurs: | , , , , |
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| Coauteur: | |
| Formaat: | Elektronisch E-boek |
| Taal: | Engels |
| Gepubliceerd in: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Editie: | 1st ed. 2025. |
| Reeks: | Synthesis Lectures on Mathematics & Statistics,
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| Onderwerpen: | |
| Online toegang: | https://doi.org/10.1007/978-3-031-94732-2 |
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| 020 | |a 9783031947322 |9 978-3-031-94732-2 | ||
| 024 | 7 | |a 10.1007/978-3-031-94732-2 |2 doi | |
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| 100 | 1 | |a Babenko, Vladyslav. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Extremal Problems of Analysis and Applications |h [electronic resource] / |c by Vladyslav Babenko, Volodymyr Kofanov, Peter Kogut, Oleg Kovalenko, Nataliia Parfinovych. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (IX, 205 p. 22 illus.). |b 19 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b PDF/UA-1 |2 onix | |
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Synthesis Lectures on Mathematics & Statistics, |x 1938-1751 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Image processing. | |
| 650 | 0 | |a Computer vision. | |
| 650 | 0 | |a Image processing |x Digital techniques. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Image Processing. |
| 650 | 2 | 4 | |a Computer Vision. |
| 650 | 2 | 4 | |a Computer Imaging, Vision, Pattern Recognition and Graphics. |
| 700 | 1 | |a Kofanov, Volodymyr. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Kogut, Peter. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Kovalenko, Oleg. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Parfinovych, Nataliia. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031947315 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031947339 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031947346 |
| 830 | 0 | |a Synthesis Lectures on Mathematics & Statistics, |x 1938-1751 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-94732-2 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||