Constantin's Inequality for Nabla and Diamond-Alpha Derivative
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Average
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Top 10%
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Top 10%
Abstract
Calculus for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed theory. Our aim is to investigate Constantin's inequality on time scales that is an important tool used in determining some properties of various dynamic equations such as global existence, uniqueness and stability. In this paper, Constantin's inequality is investigated in particular for nabla and diamond-alpha derivatives.
Description
Keywords
Constantin'S Inequality, Nabla Differentiation, Nabla Integration, Diamond-Alpha Differentiation, Diamond-Alpha Integration, Financial economics, TIME SCALES, Psychometrics, Economics, Organic chemistry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Alpha (finance), Nabla symbol, Machine learning, FOS: Mathematics, Time Scales, Discrete Mathematics and Combinatorics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, BETA (programming language), Construct validity, Omega, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, FOS: Clinical medicine, Statistics, Pure mathematics, PERTURBED DIFFERENTIAL-EQUATIONS, Applied mathematics, Computer science, Programming language, Chemistry, Inequality, Unification, Modeling and Simulation, Derivative (finance), Dentistry, Physical Sciences, Medicine, Geometry and Topology, Uniqueness, Diamond, Calculus (dental), Analysis, Mathematics, nabla integration, diamond-alpha differentiation, Real analysis on time scales or measure chains, Inequalities for sums, series and integrals, Constantin inequality, nabla differentiation, diamond-alpha integration
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Güvenilir, A.F., Kaymakçalan, B., Pelen, N.N. (2015). Constantin's inequality for nabla and diamond-alpha derivative. Journal Of Inequalities Applications. http://dx.doi.org/10.1186/s13660-015-0681-9
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
14
Source
Journal of Inequalities and Applications
Volume
2015
Issue
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Scopus : 25
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Mendeley Readers : 1
SCOPUS™ Citations
26
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Web of Science™ Citations
22
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Page Views
3
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