Some New Hardy-Type Inequalities on Time Scales
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, we will prove some new dynamic inequalities of Hardy-type on time scales. Some of the integral and difference inequalities that will be derived from our results in the continuous and discrete cases are original. The main results will be proved by using the dynamic Holder inequality, integration by parts formula on time scales, and Keller's chain rule on time scales. We will apply the main results to the continuous calculus, discrete calculus, and q-calculus as special cases.
Description
Eldeeb, Ahmed/0000-0003-2822-4092
ORCID
Keywords
Hardy'S Inequality, Dynamic Inequality, Time Scale, 26D10, 26D15, 34N05, 26E70, Random variable, Spectral Theory of Differential Operators, Multivariable calculus, Hardy’s inequality, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Engineering, Chain rule (probability), QA1-939, FOS: Mathematics, Time Scales, Time scale, Biology, Mathematical Physics, Algebra over a field, Time-scale calculus, Ecology, Applied Mathematics, FOS: Clinical medicine, Control engineering, Statistics, Pure mathematics, Partial differential equation, Probability mass function, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Dynamic inequality, Inequality, Discrete time and continuous time, FOS: Biological sciences, Dentistry, Physical Sciences, Medicine, Calculus (dental), Type (biology), Mathematics, Ordinary differential equation, Regular conditional probability, Hardy inequality, dynamic inequality, Real analysis on time scales or measure chains, time scale, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
El-Deeb, Ahmed A.; Elsennary, Hamza A.; Baleanu, Dumitru (2020). "Some new Hardy-type inequalities on time scales", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
13
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 6
Scopus : 30
Captures
Mendeley Readers : 1
Google Scholar™
