Advances in Fractional Integral Inequalities : Theory and Applications
Language: English
Published by MDPI AG, 2026
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
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nach der Bestellung gedruckt Neuware - Printed after ordering - The flexibility of fractional calculus has empowered researchers to develop a wide range of convex integral inequalities that are fundamental in approximation theory. Classical inequalities, such as Jensen's, Simpson's, Ostrowski's, Hermite-Hadamard's, and trapezoidal inequalities, are commonly used to establish error bounds in numerical integration. To derive these inequalities, researchers employ various approaches, including the use of fractional operators, functional maps, relational frameworks, and other advanced analytical techniques, underscoring the significant influence of fractional calculus in contemporary mathematical analysis. For example, self-adjoint operators, which are fundamental in both mathematics and physics, facilitate the extension of classical numerical inequalities to linear operators on Hilbert spaces. These operators, which generalize Hermitian matrices, are defined by their symmetry, guaranteeing real eigenvalues and orthogonal eigenvectors. The analysis of inequalities involving self-adjoint operators has profound applications in functional analysis, quantum mechanics, operator theory, and optimization. The main objective of this Reprint is to continue research on the development of fundamental aspects of fractional integral inequalities, as well as their potential applications. …
Seller Inventory # 9783725878833
- Title
- Advances in Fractional Integral Inequalities : Theory and Applications
- Publisher
- MDPI AG
- Publication year
- 2026
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3725878838
- ISBN 13
- 9783725878833
- Item weight
- 775 grams
- Dimensions
- 250x175x19 mm
The flexibility of fractional calculus has empowered researchers to develop a wide range of convex integral inequalities that are fundamental in approximation theory. Classical inequalities, such as Jensen's, Simpson's, Ostrowski's, Hermite-Hadamard's, and trapezoidal inequalities, are commonly used to establish error bounds in numerical integration. To derive these inequalities, researchers employ various approaches, including the use of fractional operators, functional maps, relational frameworks, and other advanced analytical techniques, underscoring the significant influence of fractional calculus in contemporary mathematical analysis. For example, self-adjoint operators, which are fundamental in both mathematics and physics, facilitate the extension of classical numerical inequalities to linear operators on Hilbert spaces. These operators, which generalize Hermitian matrices, are defined by their symmetry, guaranteeing real eigenvalues and orthogonal eigenvectors. The analysis of inequalities involving self-adjoint operators has profound applications in functional analysis, quantum mechanics, operator theory, and optimization. The main objective of this Reprint is to continue research on the development of fundamental aspects of fractional integral inequalities, as well as their potential applications.
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