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Jensen's Functionals on Time Scales [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We consider Jensen’s functionals on time scales and discuss its properties and applications. Further, we define weighted generalized and power means on time scales.
Matloob Anwar   +3 more
doaj   +2 more sources

An Opial-Type Inequality on Time Scales [PDF]

open access: yesAbstract and Applied Analysis, 2013
We establish some new Opial-type inequalities involving higher order delta derivatives on time scales. These extend some known results in the continuous case in the literature and provide new estimates in the setting of time scales.
Qiao-Luan Li, Wing-Sum Cheung
doaj   +2 more sources

Lyapunov inequalities for time scales

open access: yesJournal of Inequalities and Applications, 2002
The theory of time scales has been introduced in order to unify discrete and continuous analysis. We present a Lyapunov inequality for Sturm-Liouville dynamic equations of second order on such time scales, which can be applied to obtain a disconjugacy ...
Ridenhour Jerry   +2 more
doaj   +2 more sources

Divided and A-Divided Differences on Time Scales

open access: yes, 2023
In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using
Erhan,I.M.   +2 more
core   +1 more source

De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales

open access: yes, 2023
We derive a de La Vallée Poussin-type inequality for impulsive dynamic equations on time scales. This inequality is often used in conjunction with disconjugacy and/or (non)oscillation.
Özbekler,A., Akgöl,S.D.
core   +1 more source

Asymmetry of information flow between volatilities across time scales [PDF]

open access: yes, 2010
Conventional time series analysis, focusing exclusively on a time series at a given scale, lacks the ability to explain the nature of the data-generating process.
Gradojevic, N.   +3 more
core   +2 more sources

Time Scales in Evolutionary Dynamics [PDF]

open access: yesPhysical Review Letters, 2006
Final version with minor changes, accepted for publication in Physical Review ...
Pérez Roca, Carlos   +2 more
openaire   +4 more sources

The variational calculus on time scales [PDF]

open access: yesInternational Journal for Simulation and Multidisciplinary Design Optimization, 2010
The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature ...
Torrest Delfim F.M.
doaj   +1 more source

Irreversibility time scale [PDF]

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2006
Entropy creation rate is introduced for a system interacting with thermostats (i.e., for a system subject to internal conservative forces interacting with “external” thermostats via conservative forces) and a fluctuation theorem for it is proved. As an application, a time scale is introduced, to be interpreted as the time over which irreversibility ...
openaire   +5 more sources

On the multiwavelength variability of Mrk 110: two components acting at different time-scales

open access: yes, 2021
We present the first intensive continuum reverberation mapping study of the high accretion-rate Seyfert galaxy Mrk 110. The source was monitored almost daily for more than 200 d with the Swift X-ray and ultraviolet (UV)/optical telescopes, supported by ...
M Goad (7707851)   +19 more
core   +3 more sources

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