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Some New Dynamic Inequalities With Several Functions of Hardy Type on Time Scales

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Date

2021

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Publisher

Springer

Open Access Color

GOLD

Green Open Access

No

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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.

Description

Hamiaz, Adnane/0000-0001-5605-8728

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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Q1

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OpenCitations Citation Count
3

Source

Journal of Inequalities and Applications

Volume

2021

Issue

1

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Citations

Scopus : 3

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