Results 1 to 10 of about 40,024 (68)

Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

Journal of Inequalities and Applications, 2011
In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming, Zheng Bin, Zhou Jinchuan, Feng Qinghua, Meng Fanwei   +4 more
doaj   +2 more sources

Higher dimensions opial diamond-alpha inequalities on time scales

Journal of Mathematical Inequalities, 2021
In this paper, we generalize Opial inequality to higher dimensions on time scales. We prove the Opial Delta-nabla inequality of n variables, and then give two diamond-alpha dynamic inequalities of Opial type of n variables.
Zhongjian Mao, Ya-Ru Zhu, Jing-feng Tian
semanticscholar   +1 more source

On the connection between Sp-almost periodic functions defined on time scales and ℝ

Open Mathematics, 2022
It is well known that a sufficient and necessary condition for a continuous function gg to be almost periodic on time scale T{\mathbb{T}} is the existence of an almost periodic function ff on R{\mathbb{R}} such that ff is an extension of gg.
Yang Hao, Li Hong-Xu
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Generalization of Steffensen's inequality for higher order convex function involving extensions of montgomery identities on time scales

Applied Mathematics in Science and Engineering, 2023
Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan, Ammara Nosheen, Sumaiya Malik, Muhammad Kashif, Rostin Matendo Mabela   +4 more
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SARS-CoV-2 serosurvey among adults involved in healthcare and health research in Guinea-Bissau, West Africa [PDF]

, 2022
Objectives: Many African countries have reported fewer COVID-19 cases than countries elsewhere. By the end of 2020, Guinea-Bissau, West Africa, had <2500 PCR-confirmed cases corresponding to 0.1% of the ∼1.8 million national population.
Aaby, P., Benn, C. S., Cabral, C., Fisker, A. B., Jørgensen, C. S., Martins, C., Mendes, S., Nielsen, S., Salinha, A., Schaltz-Buchholzer, F.   +9 more
core   +1 more source

Power functions and essentials of fractional calculus on isolated time scales

Advances in Differential Equations, 2013
This paper is concerned about a recently suggested axiomatic definition of power functions on a general time scale and its consequences to fractional calculus. Besides a discussion of the existence and uniqueness of such functions, we derive an efficient
Tomáš Kisela
semanticscholar   +2 more sources

Existence results for solutions to discontinuous dynamic equations on time scales

, 2020
In this paper, we present three results about the existence of solutions to discontinuous dynamic equations on time scales. The existence of Carathéodory type solution is produced using convergence and Arzela–Ascoli theorem.
Sanket Tikare, I. Santos
semanticscholar   +1 more source

A functional generalization of diamond-α integral Dresher’s inequality on time scales

Advances in Differential Equations, 2014
In this paper, we establish a functional generalization of diamond-α integral Dresher’s inequality on time scales. Its reverse form is also considered.MSC:26D15, 26E70.
Guangsheng Chen, Cheng-Dong Wei
semanticscholar   +2 more sources

Animal-based food choice and associations with long-term weight maintenance and metabolic health after a large and rapid weight loss : The PREVIEW study [PDF]

, 2022
Peer ...
Alfredo Martinez, J., Brand-Miller, Jennie, Fogelholm, Mikael, Handjiev, Svetoslav, Handjieva-Darlenska, Teodora, Huttunen-Lenz, Maija, Jalo, Elli, Macdonald, Ian A., Moller, Grith, Muirhead, Roslyn, Navas-Carretero, Santiago, Poppitt, Sally D., Raben, Anne, Silvestre, Marta P., Stratton, Gareth, Sundvall, Jouko, Zhu, Ruixin   +16 more
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Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities

Cumhuriyet Science Journal, 2017
In this paper, weobtain some new weighted Ostrowski-Grüss type inequalities on time scales. Wealso give some other interesting inequalities as special cases.2010 MathematicsSubject Classifications : 26D15; 26E70.
Adnan Tuna
doaj   +1 more source