Person:
Saker, Samir H.

Profile Picture
Email Address
Birth Date
ORCID
0000-0003-2793-0972
SCOPUS
7004348948
Research Projects
Organizational Units
Name
Samir H. Saker
Last Name
Saker
First Name
Samir H.
Main Affiliation
Galala University
Job Title
Professor, Mathematics

Filters

2020 - 20215
5
5
Reset filters

Settings

Search Results

Now showing 1 - 5 of 5
  • Publication
    Open Access
    Properties of a Generalized Class of Weights Satisfying Reverse Hölder’s Inequality
    (Hindawi, 2021-02-23) Rabie, S. S.; Agarwal, R. P.; Saker, Samir H.; Ismat Beg
    In this paper, we will prove some fundamental properties of the discrete power mean operator of order , where is a nonnegative discrete weight defined on the set of the nonnegative integers. We also establish some lower and upper bounds of the composition of different operators with different powers. Next, we will study the structure of the generalized discrete class of weights that satisfy the reverse Hölder inequality for positive real numbers , , and such that and . For applications, we will prove some self-improving properties of weights from and derive the self improving properties of the discrete Gehring weights as a special case. The paper ends by a conjecture with an illustrative sharp example.
  • Publication
    Open Access
    Some new dynamic inequalities with several functions of Hardy type on time scales
    (Springer Nature, 2021-01-04) Hamiaz, Adnane; Abuelela, Waleed; Baleanu, Dumitru; Saker, Samir H.
    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 Hölder’s inequality, the chain rule, and the formula of integration by parts on time scales.
  • Publication
    Open Access
    On structure of discrete Muckenhoupt and discrete Gehring classes
    (Springer Nature, 2020-10-16) Rabie, S. S.; AlNemer, Ghada; Zakarya, M.; Saker, Samir H.
    In this paper, we study the structure of the discrete Muckenhoupt class Ap(C) and the discrete Gehring class Gq(K). In particular, we prove that the self-improving property of the Muckenhoupt class holds, i.e., we prove that if u∈Ap(C) then there exists q

    1 . The relation between the Muckenhoupt class A1(C) and the Gehring class is also discussed. For illustrations, we give exact values of the norms of Muckenhoupt and Gehring classes for power-low sequences. The results are proved by some algebraic inequalities and some new inequalities designed and proved for this purpose.

  • Publication
    Open Access
    New characterizations of weights on dynamic inequalities involving a Hardy operator
    (Springer Nature, 2021-04-23) Alzabut, J.; Saied, A. I.; O’Regan, D.; Saker, Samir H.
    In this paper, we establish some new characterizations of weighted functions of dynamic inequalities containing a Hardy operator on time scales. These inequalities contain the characterization of Ariňo and Muckenhoupt when [Math Processing Error], whereas they contain the characterizations of Bennett–Erdmann and Gao when [Math Processing Error]
  • Publication
    Open Access
    On Cesàro and Copson sequence spaces with weights
    (Springer Nature, 2021-01-04) Abuelwafa, Maryam M.; Zidan, Ahmed M.; Baleanu, Dumitru; Saker, Samir H.
    In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible constants and also give conditions for the boundedness of the generalized discrete weighted Hardy and Copson operators.