3 citations · 4 across the 5 of their papers we have counts for
5 papers
New Hardy-Type Inequalities Via Opial Inequalities
S. H. Saker
In this paper, we will prove several new inequalities of Hardy's types with explicit constants. The main results will be proved by making use of some generalizations of Opial's typ…
Large gaps between consecutive maxima of the Riemann zeta-function on the critical line
S. H. Saker, J. Steuding
In this paper, we derive new lower bounds for the normalized distances between consecutive maxima of the Riemann zeta-function on the critical line subject to the truth of the Riem…
An Unconditional large gap between the Zeros of the Riemann Zeta-Function and Existence of Conditional Large Gaps
S. H. Saker
In this paper, we prove the lower bound of the unconditional large gap is 3.5555 which improves the obtained value 3.079 in the literature. Next, on the hypothesis that the moments…
Unconditional and Conditional Large Gaps between the zeros of the Riemann Zeta-Function
S. H. Saker
In this paper, first by employing inequalities derived from the Opial inequality due to David Boyd with best constant, we will establish new unconditional lower bounds for the gaps…
Large Spaces Between the Zeros of the Riemann Zeta-Function
S. H. Saker
In this paper, we will employ the Opial and Wirtinger type inequalities to derive some conditional and unconditional lower bounds for the gaps between the zeros of the Riemann zeta…