Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Ramy R. Mahmoud"'
Autor:
Ramy R. Mahmoud, Samir H. Saker
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 55:268-280
In this paper, we prove some factorization theorems of Cesaro and Copson spaces on an arbitrary time scale $$\mathbb{T}$$ , which offer enhancements of dynamic Copson’s and Hardy’s inequalities. Our results enhance, among others, the best-known f
In this paper we establish a unified treatment of dynamic Hardy-type and Copson-type inequalities. More precisely, we derive a pair of dynamic inequalities which represent time scales extensions of the corresponding recent relations in the classical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbfe8e1f972795141097ceca565e1207
https://doi.org/10.1016/j.bulsci.2021.103089
https://doi.org/10.1016/j.bulsci.2021.103089
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-17 (2021)
In this paper, we establish some necessary and sufficient conditions for the validity of a generalized dynamic Hardy-type inequality with higher-order derivatives with two different weighted functions on time scales. The corresponding continuous and
Autor:
Samir H. Saker, Ramy R. Mahmoud
Publikováno v:
Rocky Mountain Journal of Mathematics. 51
We employ the self-improving property (backward propagation) for the discrete Muckenhoupt class 𝒜p, to prove that both discrete Hardy and discrete Hardy–Littlewood maximal operators are bounded on the usual weighted Lebesgue space lup(ℤ+) if a
Publikováno v:
Mathematical Inequalities & Applications. :967-983
In this paper, we will prove some new dynamic inequalities of Carlson and Hardy-Littlewood types on an arbitrary time scale T. These inequalities as special cases contain the classical continuous and discrete Carlson-Bellman and Hardy-Littlewood type
Publikováno v:
Mathematical Inequalities & Applications. :985-1002
Publikováno v:
Bulletin of the Australian Mathematical Society. 96:445-454
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 chain rule.
Publikováno v:
Mathematical Inequalities & Applications. :459-481
Autor:
Samir H. Saker, Ramy R. Mahmoud
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-15 (2019)
In this paper, we give an affirmative answer to the following question: Is the solvability of some nonlinear dynamic equations on a time scale $\mathbb{T}$ not only sufficient but in a certain sense also necessary for the validity of some dynamic Har
Publikováno v:
Journal of Mathematical Inequalities. :471-489