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Extremal problems of analysis and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Extremal problems of analysis and applications by Vladyslav Babenko ... [et al.].
其他作者:	Babenko, Vladyslav.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	ix, 205 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Analysis.
電子資源:	https://doi.org/10.1007/978-3-031-94732-2
ISBN:	9783031947322$q(electronic bk.)

Extremal problems of analysis and applications
Extremal problems of analysis and applications [electronic resource] /by Vladyslav Babenko ... [et al.]. - Cham :Springer Nature Switzerland :2025. - ix, 205 p. :ill. (chiefly col.), digital ;24 cm. - Synthesis lectures on mathematics & statistics,1938-1751. - Synthesis lectures on mathematics & statistics..

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.

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.

ISBN: 9783031947322$q(electronic bk.)

Standard No.: 10.1007/978-3-031-94732-2doiSubjects--Topical Terms:

273775
Analysis.

LC Class. No.: QA331

Dewey Class. No.: 515

Extremal problems of analysis and applications
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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.
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650 2 4 $a Image Processing. $3 273705
650 2 4 $a Computer Vision. $3 913138
650 2 4 $a Computer Imaging, Vision, Pattern Recognition and Graphics. $3 274492
700 1 $a Babenko, Vladyslav. $3 1004019
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