Some New Dynamic Inequalities With Several Functions of Hardy Type on Time Scales
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Abstract
The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited cases, and also improve some obtained results by using weak conditions. In order to do so, we utilize Holder's inequality, the chain rule, and the formula of integration by parts on time scales.
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Hamiaz, Adnane/0000-0001-5605-8728
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Keywords
Dynamic Inequalities, Hardy-Type Inequality, Time Scales, 26E70, 26D15, 26D10, 34A40, Economics, Spectral Theory of Differential Operators, Dynamic inequalities, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, QA1-939, FOS: Mathematics, Time Scales, Biology, Mathematical Physics, Order (exchange), Ecology, Applied Mathematics, Physics, FOS: Clinical medicine, Pure mathematics, Hardy-type inequality, Time scales, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Inequality, FOS: Biological sciences, Dentistry, Physical Sciences, Nonlinear system, Medicine, Dynamic equation, Calculus (dental), Type (biology), Mathematics, Finance, Differential inequalities involving functions of a single real variable, dynamic inequalities, Real analysis on time scales or measure chains, time scales, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Hamiaz, Adnane...et al. "Some new dynamic inequalities with several functions of Hardy type on time scales", Journal of Inequalities and Applications, Vol. 2021, No. 1.
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3
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2021
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1
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Scopus : 4
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4
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4
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