Eze R. Nwaeze

most citedChain rules and inequalities for the BHT fractional calculus on arbitrary time scales

31 citations · 33 across the 4 of their papers we have counts for

collaborators

4 papers

math.CV2017★ 1 cited

Some Sharpening and Generalizations of a result of T. J. Rivlin

N. K. Govil, Eze R. Nwaeze

Let $p (z) = a_{0} + a_{1} z + a_{2} z^{2} + a_{3} z^{3} + \dots + a_{n} z^{n}$ be a polynomial of degree $n$ . Rivlin \cite{Rivlin} proved that if $p (z) \neq = 0$ in the unit disk, then for $0 < r \leq 1$ , $\displaysty…

math.CA2016★ 31 cited

Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales

Eze R. Nwaeze, Delfim F. M. Torres

We develop the Benkhettou-Hassani-Torres fractional (noninteger order) calculus on time scales by proving two chain rules for the $α$ -fractional derivative and five inequalities fo…

math.CV2016★ 1 cited

A Note on a result due to Ankeny and Rivlin

Eze R. Nwaeze

Let $p (z) = a_{0} + a_{1} z + a_{2} z^{2} + a_{3} z^{3} + \dots + a_{n} z^{n}$ be a polynomial of degree $n$ having no zeros in the unit disk. ~Then it is well known that for $R \geq 1,$ $\displaystyle{\max_{|z|=…

math.CV2016

Some Generalizations of the Eneström-Kakeya Theorem

Eze R. Nwaeze

Let $p (z) = a_{0} + a_{1} z + a_{2} z^{2} + a_{3} z^{3} + \dots + a_{n} z^{n}$ be a polynomial of degree $n,$ where the coefficients $a_{j},$ $j \in {0, 1, 2, \dots n},$ are real numbers. We impose some restrictio…