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Published in 2017 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972717000478
Abstract: In this paper, we prove some new reverse dynamic inequalities of Renaud- and Bennett-type on time scales. The results are established using the time scales Fubini theorem, the reverse Hölder inequality and a time scales…
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Keywords:
inequalities time;
time scales;
reverse dynamic;
time ... See more keywords
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Published in 2021 at "International Journal of Health Services"
DOI: 10.1177/0020731421993939
Abstract: The full impact of coronavirus disease 2019 (COVID-19) is yet to be well established; however, as the pandemic spreads, and early results emerge, unmet needs are being revealed, and pressing questions are being asked about…
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Keywords:
research capacities;
inequalities time;
health inequalities;
inequalities research ... See more keywords
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Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2193-2
Abstract: We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some known…
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Keywords:
steffensen type;
inequalities time;
time scales;
time ... See more keywords
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Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-03079-w
Abstract: This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Holder’s inequality, and Jensen’s time…
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Keywords:
inequalities time;
hilbert type;
scale nabla;
time ... See more keywords
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Published in 2019 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm170406010e
Abstract: In this article, by using Young's inequality, we prove some new nonlinear dynamic inequalities of Gronwall-Bellman-Pachpatte type on time scales. These inequalities give us the integral and discrete version, and also extend some known dynamic…
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Keywords:
nonlinear dynamic;
dynamic inequalities;
inequalities time;
generalizations nonlinear ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12050449
Abstract: We investigated several novel conformable fractional gamma-nabla dynamic Hardy–Hilbert inequalities on time scales in this study. Several continuous inequalities and their corresponding discrete analogues in the literature are combined and expanded by these inequalities. Hölder’s…
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Keywords:
time;
inequalities time;
gamma nabla;
time scales ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071395
Abstract: In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their…
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Keywords:
time;
important class;
hilbert type;
inequalities time ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081714
Abstract: In this article, using a (γ,a)-nabla conformable integral on time scales, we study several novel Hilbert-type dynamic inequalities via nabla time scales calculus. Our results generalize various inequalities on time scales, unifying and extending several…
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Keywords:
time;
hilbert type;
time scales;
inequalities time ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14091823
Abstract: As a new usage of Leibniz integral rule on time scales, we proved some new extensions of dynamic Gronwall–Pachpatte-type inequalities on time scales. Our results extend some existing results in the literature. Some integral and…
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Keywords:
time;
pachpatte;
inequalities time;
dynamic inequalities ... See more keywords