E. Nwaeze

activity

20162019

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

31 citations · 58 across the 11 of their papers we have counts for

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4 papers · 1 filter

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

On the number of zeros of a polynomial in a specified disk

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 $a_{j},$ $j \in {0, 1, 2, \dots n},$ may be complex. We impose some restriction…

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…