Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales

Rezk, Haytham M.; El-Hamid, H. A. Abd; Ahmed, A. M.; AlNemer, Ghada; Zakarya, Mohammed

doi:10.1155/2020/6427378

Cited by 10 publications

(6 citation statements)

References 24 publications

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“…For more information about Hardy's inequality on time scales delta calculus, we suggest reading [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Exploring Generalized Hardy-Type Inequalities via Nabla Calculus on Time Scales

Rezk,

Mohammed,

Balogun

et al. 2023

Symmetry

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In this research, we aim to explore generalizations of Hardy-type inequalities using nabla Hölder’s inequality, nabla Jensen’s inequality, chain rule on nabla calculus and leveraging the properties of convex and submultiplicative functions. Nabla calculus on time scales provides a unified framework that unifies continuous and discrete calculus, making it a powerful tool for studying various mathematical problems on time scales. By utilizing this approach, we seek to extend Hardy-type inequalities beyond their classical continuous or discrete settings to a more general time scale domain. As specific instances of our discoveries, we have the integral inequalities previously established in the existing literature.

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“…For more information about Hardy's inequality on time scales delta calculus, we suggest reading [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Exploring Generalized Hardy-Type Inequalities via Nabla Calculus on Time Scales

Rezk,

Mohammed,

Balogun

et al. 2023

Symmetry

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“…e Hilbert-type inequalities play a major role in mathematics for pattern complex analysis, numerical analysis, and qualitative theory of differential equations and their implementation [37][38][39].…”

Section: Introduction E Coronavirus Disease (Covid-19) Was First Repo...mentioning

confidence: 99%

Latent Growth Curve Modeling for COVID-19 Cases in Presence of Time-Variant Covariate

Panwar

Yadav

Singh³

et al. 2022

Computational Intelligence and Neuroscience

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For the past two years, the entire world has been fighting against the COVID-19 pandemic. The rapid increase in COVID-19 cases can be attributed to several factors. Recent studies have revealed that changes in environmental temperature are associated with the growth of cases. In this study, we modeled the monthly growth rate of COVID-19 cases per million infected in 126 countries using various growth curves under structural equation modeling. Moreover, the environmental temperature has been introduced as a time-varying covariate to enhance the performance of the models. The parameters of growth curve models have been estimated, and accordingly, the results are discussed for the affected countries from August 2020 to July 2021.

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“…In order to develop dynamic time scale inequalities, we moved the reader to the articles [14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

On Refinements of Multidimensional Inequalities of Hardy‐Type via Superquadratic and Subquadratic Functions

Zakarya

AlNemer

El-Hamid

et al. 2022

Journal of Mathematics

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By utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel. We use some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality to prove the essential results in this paper. The performance of the superquadratic functions is reliable and effective to obtain new dynamic inequalities on time scales. By utilizing special kernels, we also acquire numerous examples and implementations of the related inequalities.

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Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales

Cited by 10 publications

References 24 publications

Exploring Generalized Hardy-Type Inequalities via Nabla Calculus on Time Scales

Exploring Generalized Hardy-Type Inequalities via Nabla Calculus on Time Scales

Latent Growth Curve Modeling for COVID-19 Cases in Presence of Time-Variant Covariate

On Refinements of Multidimensional Inequalities of Hardy‐Type via Superquadratic and Subquadratic Functions

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