Generalized Diamond-Α Dynamic Opial Inequalities
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
Abstract
We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.
Description
Tas, Kenan/0000-0001-8173-453X
ORCID
Keywords
Time Scales, Diamond Alpha Derivatives, Diamond Alpha Integrals, Deformations and Structures of Hom-Lie Algebras, Organic chemistry, Yield (engineering), Diamond Alpha derivatives, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Education, Differential equation, FOS: Mathematics, Functional Differential Equations, Algebra and Number Theory, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, FOS: Clinical medicine, Pure mathematics, Paleontology, Partial differential equation, Geology, FOS: Earth and related environmental sciences, Time scales, Applied mathematics, Chemistry, Inequality, Dentistry, Physical Sciences, Nonlinear system, Thermodynamics, Medicine, Diamond Alpha integrals, Geometry and Topology, Dynamic equation, Diamond, Calculus (dental), Type (biology), Analysis, Mathematics, Ordinary differential equation, Mathematics Subject Classification, diamond alpha derivatives, diamond alpha integrals, Real analysis on time scales or measure chains, time scales, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Atasever, N...et al. (2012). Generalized diamond-alpha dynamic opial inequalities. Advance in Difference Equations. http://dx.doi.org/10.1186/1687-1847-2012-109
WoS Q
Q1
Scopus Q

OpenCitations Citation Count
7
Source
Advances in Difference Equations
Volume
2012
Issue
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Citations
CrossRef : 1
Scopus : 14
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Mendeley Readers : 3
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