Online-Ressource
Verfasst von:	Georgiev, Svetlin [VerfasserIn]
	Zennir, Khaled [VerfasserIn]
Titel:	General quantum numerical analysis
Verf.angabe:	Svetlin G. Georgiev, Khaled Zennir
Ausgabe:	First edition
Verlagsort:	Boca Raton ; London ; New York
Verlag:	CRC Press, Taylor & Francis Group
Jahr:	2024
Umfang:	1 Online-Ressource (x, 360 Seiten)
Gesamttitel/Reihe:	Advanced in applied mathematics
Fussnoten:	Description based on publisher supplied metadata and other sources
ISBN:	978-1-04-002336-5
Abstract:	This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations.
	Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- 1. General Quantum Differentiation -- 1.1. The β-Operator -- 1.2. Definition for β-Derivative -- 1.3. Properties of the β-Derivative -- 1.4. Rules for β-Differentiation -- 1.5. Properties of β-Differentiable Functions -- 1.6. Chain Rules -- 1.7. A Mean Value Theorem -- 1.8. Higher Order β-Derivatives -- 1.9. The β-Rolle Theorem -- 1.10. Advanced Practical Problems -- 1.11. Notes and References -- 2. General Quantum Integration -- 2.1. β-Antiderivatives -- 2.2. Definition for β-Integral -- 2.3. Properties of β-Integrals -- 2.4. Inequalities and β-Integrals -- 2.5. General Quantum Monomials -- 2.6. The Taylor Formula -- 2.7. Improper Integrals of the First Kind -- 2.8. Improper Integrals of the Second Kind -- 2.9. Advanced Practical Problems -- 2.10. Notes and References -- 3. β-Elementary Functions -- 3.1. β-Regressive Functions -- 3.2. β-Exponential Functions -- 3.3. β-Trigonometric Functions -- 3.4. β-Hyperbolic Functions -- 3.5. Advanced Practical Problems -- 3.6. Notes and References -- 4. General Quantum Polynomial Interpolation -- 4.1. General Quantum Lagrange Interpolation -- 4.2. β-Lagrange Interpolation -- 4.3. Hermite Interpolation -- 4.4. β-Hermite Interpolation -- 4.5. β-Differentiation -- 4.6. Advanced Practical Problems -- 4.7. Notes and References -- 5. Numerical β-Integration -- 5.1. Newton-Cotes Formula -- 5.2. β-Newton-Cotes Formula -- 5.3. Error Estimates -- 5.4. β-Error Estimates -- 5.5. Composite Quadrature Rules -- 5.6. β-Composite Quadrature Rules -- 5.7. The Euler-Maclauren Expansion -- 5.8. The β-Euler-Maclauren Expansion -- 5.9. Construction of Gauss Quadrature Rules -- 5.10. Error Estimation for Gauss Quadrature Rules -- 5.11. β-Gauss Quadrature Rules -- 5.12. Error Estimation for β-Gauss Quadrature Rules.
URL:	Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=31254132
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe
K10plus-PPN:	1885682476
	Universitätsbibliothek
Lokale URL UB:	Zum Volltext